Engineering Data FLA. More information on our servo products can be found HERE!

Transcription

1 Engineering Data FLA More information on our servo products can be found HERE!

2 Introduction Introduction Thank you for purchasing our FLA series Brushless DC Actuator. Wrong handling or use of this product may result in unexpected accidents or shorter life of the product. Read this document carefully and use the product correctly so that the product can be used safely for many years. Product specifications are subject to change without notice for improvement purposes. Keep this manual in a convenient location and refer to it whenever necessary in operating or maintaining the units. The end user of the actuator should have a copy of this manual.

3 SAFETY GUIDE SAFETY GUIDE To use this actuator safely and correctly, be sure to read SAFETY GUIDE and other parts of this document carefully and fully understand the information provided herein before using the actuator. NOTATION Important safety information you must note is provided herein. Be sure to observe these instructions. Indicates a potentially hazardous situation, which, if not avoided, could result in death or serious personal injury. WARNING CAUTION Indicates a potentially hazardous situation, which, if not avoided, may result in minor or moderate personal injury and/or damage to the equipment. Indicates what should be performed or avoided to prevent non-operation or malfunction of the product or negative effects on its performance or function. SPECIAL APPLICATIONS When using this product for applications listed below, please consult with us first. Space equipment Automobile, automotive parts Aircraft, aeronautic equipment Amusement equipment, sport equipment, game machines Nuclear equipment Machine or devices acting directly on the human body Household apparatus Instruments or devices to transport or carry people Vacuum equipment Apparatus or devices used in special environments CAUTION Safety measures are essential to prevent accidents resulting in death, injury or damage of the equipment due to malfunction or faulty operation.

4 SAFETY GUIDE SAFETY NOTE ITEMS YOU SHOULD NOTE WHEN USING THE ACTUATOR CAUTIONS RELATED TO THE DESIGN CAUTION Always use under followings conditions. The actuator is designed to be used indoors. Observe the following conditions: Ambient temperature: 0 to 0 Ambient humidity: 0% to 0%RH (Non-condensation) Impact: Max 00 m/s Vibration: Max m/s No contamination by dust, metal powder, water or oil No corrosive or explosive gas Follow exactly the instructions in the relating manuals to install the actuator in the equipment. Ensure exact alignment of the actuator center and the center of the corresponding machine by following the manual. Failure to observe this caution may lead to vibration, resulting in damage of output elements. CAUTIONS FOR USAGE WARNING Keep limited torques of the actuator. Keep limited torques of the actuator. Be aware, that if arms attached to output element hits by accident an solid, the output element may be uncontrollable. Never connect cables directly to a power supply socket. Each actuator must be operated with a proper driver. Failure to observe this caution may lead to injury, fire or damage of the actuator. Do not apply impacts and shocks Actuators are equipped with a sensor circuit. Do not tap them with a hammer or other tool. If the sensor circuit is damaged, the actuator may become uncontrollable. Avoid handling of actuators by cables. Failure to observe this caution may damage the wiring, causing uncontrollable or faulty operation. FLA series actuators have a simple sealed structure, which does not completely prevent lubricant leaks. Take additional measures to prevent leaks as necessary.

5 SAFETY GUIDE DISPOSAL CAUTION All products or parts have to be disposed of as industrial waste. Since the case or the box of drivers have a material indication, classify parts and dispose them separately.

6 Contens SAFETY GUIDE... NOTATION... SPECIAL APPLICATIONS... SAFETY NOTE... Contens... Conformance to overseas standards... Chapter Model Recommended drivers Specifications External dimensions Detector specifications Output Shaft Characteristics... - Moment stiffness and Tilt Angle Rotation direction Shock resistance Resistance to vibration Operable range Cable specifications... - Motor cable specifications... - Sensor cable specifications... - Chapter Selection guidelines - Load inertia moment Verifying and examining load weights... - Maximum load moment load and maximum axial load Examining operating status... - Examining actuator rotation speed... - Calculating and examining load inertia moment... - Load torque calculation... - Acceleration time and deceleration time... - Examining effective torque and average rotation speed... -

7 Contens Chapter Installing the actuator - Receiving Inspection... - Inspection procedure Notices on handling... - Installation and transmission torque... - Use of positioning pins... - Surface treatments Location and installation... - Environment of location... - Installation... - Appendix A- Unit conversion... - A- Calculating inertia moment... - Formula of mass and inertia moment... - Inertia moment of cylinder... -

8 Conformance to overseas standards Conformance to overseas standards The FLA series actuator conforms to following overseas standards. UL Standard UL00- (File No. E00) CSA Standard C. No.00 European Low Voltage EC Directives EN00-, EN00- Nameplate sticker The following specifications of the FLA series actuators are shown. Nameplate field Explanation () Model () Serial Number () Part No. () Rated output [W] () Input voltage [V] () Allowable continuous current [A] () Allowable range temperature [ ] () at point A on the graph below () Current fundamental frequency [Hz] at point A on the graph below (0) Number of phase () () () () () () () () () () (0) Nameplate sticker

9 Conformance to overseas standards The nameplate values of various models are shown below. HP type (DCV) Model Item FLA-A FLA-A FLA-A FLA-0A () Output at point A W () Input voltage V () Allowable continuous current A () Allowable range temperature 0 () Rotational speed at point A r/min 00 () Frequency at point A Hz 0 () Number of phase - HP type (DCV) Model Item FLA-A FLA-A FLA-A FLA-0A () Output at point A W () Input voltage V () Allowable continuous current A () Allowable range temperature 0 () Rotational speed at point A r/min 00 () Frequency at point A Hz 0 () Number of phase - FB type (DCV) Item Model FLA-A FLA-A FLA-A FLA-0A () Output at point A W () Input voltage V () Allowable continuous current A () Allowable range temperature 0 () Rotational speed at point A r/min () Frequency at point A Hz () Number of phase - FB type (DCV) Item Model FLA-A FLA-A FLA-A FLA-0A () Output at point A W () Input voltage V () Allowable continuous current A () Allowable range temperature 0 () Rotational speed at point A r/min () Frequency at point A Hz () Number of phase -

10 Conformance to overseas standards

11 Chapter This chapter explains the features, functions and specifications of the actuator Model - - Recommended drivers - - Specifications - - External dimensions - - Detector specifications - - Output Shaft Characteristics - - Rotation direction -0 - Shock resistance - -0 Resistance to vibration - - Operable range - - Cable specifications -

12 - - FLA series actuators are ultra-flat brushless DC actuators that combine brushless DC motors with high performance speed reducers. Compact and high power brushless DC motors are combined with highperformance speed reducers to deliver flat and light brushless DC actuators. There are types of speed reducers: HP type with a HarmonicPlanetary speed reducer incorporated that features high speed and high efficiency, and FB type with a HarmonicDrive strain wave gear speed reducer incorporated that features lightweight and high output torque. A wide range of products from model No. to No. 0 is available. They can be operated with a battery and VDC and VDC input voltages are supported. FLA series actuators play an important role in various applications such as driving wheels of AGVs (Automated Guided Vehicles) and power assist devices. Ultra-Flat Shape and Lighter Weight The HarmonicPlanetary speed reducer that features high speed and high efficiency and HarmonicDrive strain wave gear speed reducer that features lightweight and high output torque are used in combination with our self-developed brushless DC motors to deliver unprecedented ultra-flat, light weight actuators. They help reduce the weight and size of various equipment such as AGVs and power assist suits. Wide Range of Products We have models available to choose from. Select the best actuator according to your application. 0 -

13 - Model - Model Model names for the FLA series actuators and how to read the symbols are explained below. Examples of models: FLA - A - 0 HP - H - - SP () - () () - () () - () - () - () () Model: Brushless DC Actuator FLA series () Model Nos:,,, 0 () Version symbol () Reduction ratio (indicated by R in /R format) HarmonicPlanetary speed reducer 0: / (Model Nos:, ) 0: / (Model Nos:, 0) HarmonicDrive strain wave gear speed reducer 0: /0 (Model Nos:,,, 0) 00: /00 (Model Nos:,, ) () Speed reducer type HP HarmonicPlanetary speed reducer FB HarmonicDrive strain wave gear speed reducer () Sensor type H Hall sensor () Input power supply DCV DCV () Special specification No description Standard product SP Special specification 0 -

14 - Recommended drivers - Recommended drivers We recommend the drivers listed below to use with FLA actuators. Low voltage brushless DC motor drive (S series, F series) by YASKAWA CONTROLS CO., LTD Model FLA-A FLA-A FLA-A FLA-0A CCMDSP-D0PYC (S series) CCMDPE-D0PYC (F series) * * *: With this combination, the actuator output is restricted due to the driver capacity limitation. For more specifications, refer to [- Specifications] (P-). *: For details on drivers, please contact YASKAWA CONTROLS CO., LTD. Home page address: Technical support telephone service: 00-- Technical support address: cmec@yaskawa-control.co.jp 0 WARNING WARNING When Using a Recommended Driver The characteristics of the recommended drivers have been adjusted according to the actuators and each model has its own driver parameters. Ensure that you check the driver and actuator models and use with the appropriate parameters. Using with invalid parameters may cause the actuator to burn out due to insufficient torque or overcurrent, resulting in an injury or fire. When Using a Driver Other Than Recommended Drivers When using a driver other than the recommended drivers, ensure that the specifications of the actuator are not exceeded. Using the driver exceeding the actuator specifications may cause an actuator malfunction or failure. -

15 - Recommended drivers [Related Manuals] The table below lists related manual. Check each item as necessary. [CCMDSP-D0PYC (S series)] Title Manual No. Description S series startup manual SIE-C0-.A X General product descriptions Note: X in the end of document numbers indicate revision code. [CCMDPE-D0PYC (F series)] Title Manual No. Description F series startup manual SIE-C0-.A X General product descriptions Note: X in the end of document numbers indicate revision code. 0 -

16 - Specifications 0 - Specifications The specifications of FLA series actuators are explained. HP type (DCV) Item Combined driver - Driver input power supply Motel V FLA-A-0HP FLA-A-0HP FLA-A-0HP FLA-0A-0HP CCMDSP-D0PYC CCMDPE-D0PYC DC CCMDSP-D0PYC (CCMDPE-D0PYC) * Max. torque *.. N m.. (.) * (.) * Allowable continuous torque ** N m (.) * (.) * Max. rotational speed * r/min Allowable continuous rotational speed ** r/min Torque constant * N m/a Max. current * A..0 Allowable continuous current ** A (.0) * (.0) * (.0) * (.0) * MEF constant * V/(r/min) Number of poles in the motor Phase resistance Ω(0 ) Phase inductance mh Inertia moment (GD /) kg m Reduction ratio - : : : : Motor position detector - Hall sensor Single motor resolution P/R Output shaft resolution P/R Mass g Environmental conditions Motor insulation Mounting direction Operating temperature: 0 to 0 /Storage temperature: -0 to 0 Operating humidity/storage humidity: 0 to 0%RH (no condensation) Resistance to vibration: m/s (frequency: 0 to 00Hz) Shock resistance: 00 m/s * No dust, no metal powder, no corrosive gas, no inflammable gas, no oil mist To be used indoors, no direct sunlight Altitude: less than,000 m above sea level Insulation resistance: 00MΩ or more (by DC00V insulation tester) Dielectric strength: AC,00V/ min Insulation class: A Can be installed in any direction. Protection structure Totally enclosed self-cooled type (IP0) The table shows typical output values of actuators. *: Typical characteristics when driven in combination with compatible drivers. *: Values after the temperature has risen and saturated with the aluminum radiation plates with the following sizes installed. FLA-A: 0 x 0 x [mm], FLA-A: 0 x 0 x 0 [mm] FLA-A: 0 x 0 x [mm], FLA-0A: 00 x 00 x [mm] *: Value of phase induced voltage constant multiplied by. *: For testing conditions, refer to [- Shock resistance] (P-) and [-0 Resistance to vibration] (P-). *: When combined with this driver, the specifications are limited to the values in the parentheses. -

17 - Specifications HP type (DCV) Item Combined driver - Driver input power supply Motel V FLA-A-0HP FLA-A-0HP FLA-A-0HP FLA-0A-0HP CCMDSP-D0PYC CCMDPE-D0PYC DC Max. torque * N m.... Allowable continuous ** N m torque Max. rotational speed * r/min Allowable continuous rotational speed ** r/min Torque constant * N m/a Max. current * A.... Allowable continuous current ** A MEF constant * V/(r/min) Number of poles in the motor Phase resistance Ω(0 ) Phase inductance mh Inertia moment (GD /) kg m Reduction ratio - : : : : Motor position detector - Hall sensor Single motor resolution P/R Output shaft resolution P/R Mass g Environmental conditions Motor insulation Operating temperature: 0 to 0 /Storage temperature: -0 to 0 Operating humidity/storage humidity: 0 to 0%RH (no condensation) Resistance to vibration: m/s (frequency: 0 to 00Hz) Shock resistance: 00 m/s * No dust, no metal powder, no corrosive gas, no inflammable gas, no oil mist To be used indoors, no direct sunlight Altitude: less than,000 m above sea level Insulation resistance: 00MΩ or more (by DC00V insulation tester) Dielectric strength: AC,00V/ min Insulation class: A 0 Mounting direction Can be installed in any direction. Protection structure Totally enclosed self-cooled type (IP0) The table shows typical output values of actuators. *: Typical characteristics when driven in combination with compatible drivers. *: Values after the temperature has risen and saturated with the aluminum radiation plates with the following sizes installed. FLA-A: 0 x 0 x [mm], FLA-A: 0 x 0 x 0 [mm] FLA-A: 0 x 0 x [mm], FLA-0A: 00 x 00 x [mm] *: Value of phase induced voltage constant multiplied by. *: For testing conditions, refer to [- Shock resistance] (P-) and [-0 Resistance to vibration] (P-). -

18 - Specifications 0 FB type (DCV) Item Combined driver - Driver input power supply Motel V FLA-A-xxFB FLA-A-xxFB FLA-A-xxFB FLA-0A-xxFB CCMDSP-D0PYC CCMDPE-D0PYC DC CCMDSP-D0PYC (CCMDPE-D0PYC) * Max. torque * N m..0.. () * () * (0) * Allowable continuous torque ** N m (.) * (.) * (.) * Max. rotational * speed r/min Allowable continuous rotational speed ** r/min Torque constant * N m/a Max. current * A Allowable continuous current ** A (.0) *. (.) *. (.0) *... (.0) * (.) * (.0) * MEF constant * V/(r/min) Number of poles in the motor Phase resistance Ω(0 ) Phase inductance mh Inertia moment (GD /) kg m Reduction ratio - :0 :00 :0 :00 :0 :00 :0 Motor position detector - Hall sensor Single motor resolution P/R Output shaft resolution P/R,00,000,00,000,00,000,00 Mass g Environmental conditions Motor insulation Operating temperature: 0 to 0 /Storage temperature: -0 to 0 Operating humidity/storage humidity: 0 to 0%RH (no condensation) Resistance to vibration: m/s (frequency: 0 to 00Hz) Shock resistance: 00 m/s * No dust, no metal powder, no corrosive gas, no inflammable gas, no oil mist To be used indoors, no direct sunlight Altitude: less than,000 m above sea level Insulation resistance: 00MΩ or more (by DC00V insulation tester) Dielectric strength: AC,00V/ min Insulation class: A Mounting direction Can be installed in any direction. Protection structure Totally enclosed self-cooled type (IP0) The table shows typical output values of actuators. *: Typical characteristics when driven in combination with compatible drivers. *: Values after the temperature has risen and saturated with the aluminum radiation plates with the following sizes installed. FLA-A: 0 x 0 x [mm], FLA-A: 0 x 0 x 0 [mm] FLA-A: 0 x 0 x [mm], FLA-0A: 00 x 00 x [mm] *: Value of phase induced voltage constant multiplied by. *: For testing conditions, refer to [- Shock resistance] (P-) and [-0 Resistance to vibration] (P-). *: When combined with this driver, the specifications are limited to the values in the parentheses. -

19 - Specifications FB type (DCV) Item Combined driver - Driver input power supply Motel V FLA-A-xxFB FLA-A-xxFB FLA-A-xxFB FLA-0A-xxFB CCMDSP-D0PYC CCMDPE-D0PYC DC Max. torque * N m..0.. Allowable continuous ** torque N m Max. rotational speed * r/min Allowable continuous rotational speed ** r/min Torque constant * N m/a Max. current * A Allowable continuous current ** A MEF constant * V/(r/min) Number of poles in the motor Phase resistance Ω(0 ) Phase inductance mh Inertia moment (GD /) kg m Reduction ratio - :0 :00 :0 :00 :0 :00 :0 Motor position detector - Hall sensor Single motor resolution P/R Output shaft resolution P/R,00,000,00,000,00,000,00 Mass g Environmental conditions Motor insulation Operating temperature: 0 to 0 /Storage temperature: -0 to 0 Operating humidity/storage humidity: 0 to 0%RH (no condensation) Resistance to vibration: m/s (frequency: 0 to 00Hz) Shock resistance: 00 m/s * No dust, no metal powder, no corrosive gas, no inflammable gas, no oil mist To be used indoors, no direct sunlight Altitude: less than,000 m above sea level Insulation resistance: 00MΩ or more (by DC00V insulation tester) Dielectric strength: AC,00V/ min Insulation class: A 0 Mounting direction Can be installed in any direction. Protection structure Totally enclosed self-cooled type (IP0) The table shows typical output values of actuators. *: Typical characteristics when driven in combination with compatible drivers. *: Values after the temperature has risen and saturated with the aluminum radiation plates with the following sizes installed. FLA-A: 0 x 0 x [mm], FLA-A: 0 x 0 x 0 [mm] FLA-A: 0 x 0 x [mm], FLA-0A: 00 x 00 x [mm] *: Value of phase induced voltage constant multiplied by. *: For testing conditions, refer to [- Shock resistance] (P-) and [-0 Resistance to vibration] (P-). -

20 - External dimensions - External dimensions The external dimensions of FLA series actuators are shown below. FLA-A-HP (Speed reducer: HarmonicPlanetary speed reducer) Unit: mm (third angle projection) 0 Motor cable Sensor cable Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. -

21 - External dimensions FLA-A-FB (Speed reducer: HarmonicDrive control) Sensor cable Motor cable speed reducer for precision Unit: mm (third angle projection) Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. 0-0

22 - External dimensions FLA-A-HP (Speed reducer: HarmonicPlanetary speed reducer) Unit: mm (third angle projection) 0 Motor cable Sensor cable Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. -

23 - External dimensions FLA-A-FB (Speed reducer: HarmonicDrive speed reducer for precision control) Unit: mm (third angle projection) Motor cable Sensor cable Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. 0 -

24 - External dimensions FLA-A-HP (Speed reducer: HarmonicPlanetary speed reducer) Unit: mm (third angle projection) 0 Motor cable Sensor cable Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. -

25 - External dimensions FLA-A-FB (Speed reducer: HarmonicDrive control) Sensor cable Motor cable speed reducer for precision Unit: mm (third angle projection) Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. 0 -

26 - External dimensions FLA-0A-HP (Speed reducer: HarmonicPlanetary speed reducer) Unit: mm (third angle projection) 0 Motor cable Sensor cable Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. -

27 - External dimensions FLA-0A-FB (Speed reducer: HarmonicDrive control) Sensor cable Motor cable speed reducer for precision Unit: mm (third angle projection) Note: For details on external dimensions, check our illustrated specifications. Please contact us for the tolerance when it is not indicated in the dimensions. 0 -

28 - Detector specifications 0 - Detector specifications The specifications of the detector mounted on FLA series actuators are shown below. Specifications [Position detector] Main specifications Model FLA-A FLA-A FLA-A FLA-0A Detection system Output type Hall sensor Open collector output Input voltage [V] DC ±% Resolution per motor revolution [P/R] When using a driver other than recommended drivers, install a pull-up resistor in the input circuit. The output inflow current must be 0 ma or less. Resolution of output shaft Model FLA-A FLA-A Reduction ratio : :0 :00 : :0 :00 Resolution of output shaft [P/R] 0,00,000 0,00,000 Resolvable angle per pulse [degrees] Model FLA-A FLA-0A Reduction ratio : :0 :00 : :0 Resolution of output shaft [P/R] 0,00,000,00 Resolvable angle per pulse Approx. Approx [degrees] Signal phase The phase relationships between the hall sensor output HU, HV, HW and the motor induced voltage are shown. (Rotation direction: When externally driven CW as viewed from the actuator output shaft side.) Model FLA-,,A FLA-0A Hn. R Note: Indicated by the mechanical angles of the motor shaft. -

29 - Detector specifications Specifications [Temperature detector] FLA series actuators have a temperature detector inside the motor. The temperature detector allows real-time measurement of the temperature inside the motor, which is useful to prevent overheating the motor circumference or other purposes. Note that the recommended drivers are not equipped with the interface for the temperature detector. Main specifications Model FLA-A FLA-A FLA-A FLA-0A Detection system Thermistor Input voltage [V] DC ±% Applicable temperature range [ ] 0 to 00 Characteristic of detected temperature [ ] Detected temperature [ ] =. - (Output voltage [V]) x. Detection error [ ] ± Voltage is output from the cable even when a temperature detector is not used. When not using the temperature detector, insulate the cable terminal. 0 -

30 - Output Shaft Characteristics - Output Shaft Characteristics Moment stiffness and Tilt Angle The moment stiffness refers to the torsional stiffness when a moment load is applied to the output shaft of the actuator (shown in the figure). For example, when a load is applied to the end of an arm attached on the output shaft of the actuator, the face of the output shaft of the actuator tilts in proportion to the moment load. The moment stiffness is expressed as the load/gradient angle. 0 Following items near the permissible moment load (Mc) of FLA series actuators are shown in the table below. Tilt angles: θ 0 Moment stiffness: K m Model Item FLA-A FLA-A FLA-A FLA-0A Mc Nm...0. θ 0 x0 - rad K m x0 Nm/rad.0... Note: The values shown above are typical values. -

31 - Rotation direction - Rotation direction The actuator rotates CCW as viewed from the output shaft when a CW drive command is given from a recommended driver (S series/f series). When a CCW drive command is given, it rotates CW as viewed from the output shaft. Counterclockwise rotation direction (with a CW drive command) 0-0

32 - Shock resistance - Shock resistance The shock resistance of the actuator is as follows, and this value is the same in up/down, left/right and front/rear directions: Impact acceleration: 00 m/s In our shock resistance test, the actuator is tested times in each direction. Actuator operation is not guaranteed in applications where impact exceeding the above value is constantly applied. Shock resistance test 0 -

33 -0 Resistance to vibration -0 Resistance to vibration The resistance to vibration of the actuator is as follows, and this value is the same in up/down, left/right and front/rear directions: Vibration acceleration: m/s (frequency: 0 to 00Hz) In our test, the actuator is tested for hours in each direction at a vibration frequency sweep period of 0 minutes. Resistance to vibration test 0 -

34 - Operable range 0 - Operable range The graphs on the following pages indicate the operable range of each driver when combined with a FLA series actuator. For details, refer to [Chapter Selection guidelines].. Continuous motion range The range allows continuous operation for the actuator.. 0% duty motion range This range indicates the torque rotation speed which is operable in the 0% duty operation (the ratio of operating time and delay time is 0:0). Limit the operation cycle to a period of several minutes, and keep it within a range where the overload alarm or overheat alarm of the driver does not sound.. Motion range during acceleration and deceleration This range indicates the torque rotation speed which is operable momentarily. The range allows instantaneous operation like acceleration and deceleration, usually. The continuous and 0% duty motion ranges in each graph are measured on the condition where the radiation plate specified in the graph is installed. The aforementioned continuous motion range and 0% duty motion range represent allowable ranges where the actuator installed on a specified aluminum radiation plate is operated under natural air cooling. If the radiation area of the mounting member is small or heat conduction of the material is poor, adjust the operating conditions to keep the rise in the actuator's ambient temperature to 0 K or less as a guide. Depending on the operating conditions or load conditions such as during acceleration/deceleration or when a load is connected, it may become difficult to drive at a constant low speed. -

35 - Operable range HP type (DCV) Combined driver: CCMDSP-D0PYC (S series) Radiation plate: 0*0* mm Radiation plate: 0*0*0 mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 0*0* mm Radiation plate: 00*00* mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range 0 Continuous motion range -

36 - Operable range HP type (DCV) Combined driver: CCMDPE-D0PYC (F series) Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 0*0* mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 0*0*0 mm Radiation plate: 0*0* mm Radiation plate: 00*00* mm 0 Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range -

37 - Operable range HP type (DCV) Combined driver: CCMDSP-D0PYC (S series) CCMDPE-D0PYC (F series) Radiation plate: 0*0* mm Radiation plate: 0*0*0 mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 0*0* mm Radiation plate: 00*00* mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range 0 Continuous motion range Continuous motion range -

38 - Operable range FB type (Speed ratio 0, DCV) Combined driver: CCMDSP-D0PYC (S series) Radiation plate: 0*0* mm Radiation plate: 0*0*0 mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Torque [Nm] Motion range during acceleration and deceleration Continuous motion range 0% duty motion range 0 Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 0*0* mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 00*00* mm -

39 - Operable range FB type (Speed ratio 0, DCV) Combined driver: CCMDPE-D0PYC (F series) Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 0*0* mm Torque [Nm] Motion range during acceleration and deceleration Continuous motion range 0% duty motion range Radiation plate: 0*0*0 mm Radiation plate: 0*0* mm Radiation plate: 00*00* mm Torque [Nm] Motion range during acceleration and deceleration Motion range during acceleration and deceleration 0% duty motion range 0% duty motion range Continuous motion range Torque [Nm] Continuous motion range 0 -

40 - Operable range FB type (Speed ratio 00, DCV) Combined driver: CCMDSP-D0PYC (S series) Torque [Nm] Motion range during acceleration and deceleration Motion range during acceleration and deceleration 0% duty motion range 0% duty motion range Continuous motion range Radiation plate: 0*0* mm Torque [Nm] Continuous motion range Radiation plate: 0*0*0 mm Radiation plate: 0*0* mm 0 Torque [Nm] Motion range during acceleration and deceleration Continuous motion range 0% duty motion range -

41 - Operable range FB type (Speed ratio 00, DCV) Combined driver: CCMDPE-D0PYC (F series) Torque [Nm] Motion range during acceleration and deceleration Motion range during acceleration and deceleration 0% duty motion range 0% duty motion range Continuous motion range Radiation plate: 0*0* mm Torque [Nm] Continuous motion range Radiation plate: 0*0*0 mm Radiation plate: 0*0* mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range 0-0

42 - Operable range FB type (Speed ratio 0, DCV) Combined driver: CCMDSP-D0PYC (S series) CCMDPE-D0PYC (F series) Radiation plate: 0*0* mm Radiation plate: 0*0*0 mm Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Continuous motion range 0 Torque [Nm] Motion range during acceleration and deceleration Continuous motion range Radiation plate: 0*0* mm Motion range during acceleration and deceleration 0% duty motion range 0% duty motion range Torque [Nm] Continuous motion range Radiation plate: 00*00* mm -

43 - Operable range FB type (Speed ratio 00, DCV) Combined driver: CCMDSP-D0PYC (S series) CCMDPE-D0PYC (F series) Radiation plate: 0*0* mm Radiation plate: 0*0*0 mm Motion range during acceleration and deceleration Motion range during acceleration and deceleration Torque [Nm] Torque [Nm] 0% duty motion range Continuous motion range Motion range during acceleration and deceleration Continuous motion range 0% duty motion range Radiation plate: 0*0* mm Torque [Nm] Continuous motion range 0% duty motion range 0 -

44 - Cable specifications 0 - Cable specifications The following tables show specifications of the motor and sensor cables of the FLA series actuators. Motor cable specifications Cable specifications Color Red White Black Wire diameter Model No. Name Motor phase-u Motor phase-v Motor phase-w Nominal outer diameter (mm) Conductor size.0 AWG.0 AWG. AWG0 0. AWG Sensor cable specifications Cable specifications Color Signal name Remarks Red +V Power supply input +V Black 0V Power supply input 0V (GND) White HU Hall sensor output (phase-u) Green HV Hall sensor output (phase-v) Blue HW Hall sensor output (phase-w) Yellow TH Thermistor output Wire diameter Model No. Nominal outer diameter (mm) Conductor size,,, 0 0. AWG FLA series actuators have a tapped hole for a grounding wire instead of a ground cable. When grounding, refer to the illustrated specifications for the requirements of the tapped hole for a grounding wire. If not grounded, a malfunction may occur due to noise or other causes. Incorrect wiring such as a reversed power input connection may cause a malfunction or failure. Voltage is output from the cable even when a temperature detector (thermistor) is not used. When not using the temperature detector, insulate the cable terminal. -

45 Chapter Selection guidelines This chapter explains how to select a proper FLA series actuator. - Load inertia moment - - Verifying and examining load weights - - Examining operating status -

46 - Load inertia moment Selection guidelines - Load inertia moment When using a recommended driver (S series/f series) to drive a FLA series actuator, the driver parameter (Pn.0: Inertia ratio) needs to be changed according to the inertia moment of a load. "Inertia moment ratio" is the percentage value of the ratio of the total inertia moment to the inertia moment of the motor incorporated into the FLA series actuators. Calculate the inertia moment according to the formula shown below to set Pn.0. To calculate the inertia moment of a load, refer to "A- Calculating inertia moment" on page -. The symbols in the formulas are: J L : Load inertia moment J A : Inertia moment of actuator (output shaft conversion) J M : Inertia moment of motor J S : Total inertia moment converted to motor shaft R: Reduction ratio of FLA series actuator Pn.0:Inertia moment ratio [%] J = R ( J L + J A ) S J - J Pn.0= J S M M 00 [ 0 - kg m ] [%] 0 Model Table Inertia moment Item Inertia moment of actuator Inertia moment of motor (output shaft conversion) J J M A x0 - kg m x0 - kg m FLA-A-0HP. 0.0 FLA-A-0FB 0.0 FLA-A-00FB FLA-A-0HP. 0.0 FLA-A-0FB FLA-A-00FB FLA-A-0HP 0 0. FLA-A-0FB 0 0. LA-A-00FB FLA-0A-0HP 0. FLA-0A-0FB

47 - Verifying and examining load weights - Verifying and examining load weights FLA series actuators have a bearing incorporated to directly support an external load (at the output flange). Ensure that the maximum load moment load and maximum axial load are not exceeding the permissible values. Maximum load moment load and maximum axial load The formula below shows how to calculate the maximum load moment load (M max). () Verify that the maximum load moment load (M max ) is less than or equal to the permissible moment load (Mc). () Verify that the maximum axial load (F amax ) is less than or equal to the permissible axial load (F ac ). Load Actuator Selection guidelines Formula (): Maximum load moment load Fr max (Lr + R) + Fa max La M max = 000 Symbols used in the formula Mmax Maximum load moment load Nm Frmax Max. radial load N Refer to Fig.. Famax Max. axial load N Refer to Fig.. Lr,La mm Refer to Fig.. R Offset amount mm Refer to Fig. and Table. Fig. : External load action Table Main roller bearing specifications Offset amount permissible moment load R Mc Permissible axial load Fac Item Model mm Nm N FLA-A-HP.. FLA-A-FB.. FLA-A-HP.. FLA-A-FB.. FLA-A-HP.0.0 FLA-A-FB..0 FLA-0A-HP.. FLA-0A-FB.0. Note: Please contact us for the specifications of the main roller bearing and other parts used on this product. 0 -

48 - Examining operating status Selection guidelines 0 - Examining operating status The actuator generates heat if started/stopped repeatedly or operated continuously at high speed. Accordingly, examine whether or not the generated heat can be accommodated. The study is as follows: Examining actuator rotation speed Calculate the required rotation speed (r/min) of the load driven by the FLA series. For linear operation, use the rotation speed conversion formula below: Linear travel speed (mm/min) Rotation speed (r/min) = Screw feed pitch (mm) Screw pitch (mm) 0 0r/min r/min 0r/min 0r/min 00r/min 00r/min Linear travel speed (mm/min) Select an appropriate reduction ratio from,, 0 and 00 so that the calculated rotation speed does not exceed the maximum rotational speed of the FLA series actuator. Calculating and examining load inertia moment Calculate the load inertia moment of the load driven by the FLA series actuator. Refer to [A- Calculating inertia moment] (P-) for the calculation. 0 Rotation speed (r/min) -

49 - Examining operating status Load torque calculation Calculate the load torque as follows: Rotary motion The rotary torque for the rotating mass W on the ring of radius r from the center of rotation is shown in the figure to the right. T =. µ W r T : Rotary torque (Nm) μ : Friction coefficient W : Mass (kg) r : Average radius of friction side (m) Linear operation (horizontal operation) The rotary torque when the mass W moves horizontally due to the screw of pitch P is shown below. P T =. µ W Mass: W π Pitch: P T : Rotary torque (Nm) Friction: μ μ : friction coefficient W : mass (kg) P : Screw feed pitch (m) Linear operation (vertical operation) The rotary torque when the mass W moves vertically due to the screw of pitch P is shown below. P T =. W π Mass: W Friction: μ Mass: W Radius: r Pitch: P Selection guidelines 0 -

50 - Examining operating status Selection guidelines 0 Acceleration time and deceleration time Calculate acceleration and deceleration times for the selected actuator. Acceleration time: t a = k t = k ( JA + JL) ( J + J ) π N 0 TM TL π N Deceleration time: d A L 0 TM + TF + TL Rotation speed ta: Acceleration time (s) td: Deceleration time (s) JA: Actuator inertia moment (kg m ) JL: Load inertia moment (kg m ) N N: Actuator rotation speed (r/min) TM: Maximum actuator torque (Nm) TF: Actuator friction torque (Nm) Time TF=KT x IR-TR ta td KT: Torque constant (Nm/A) TR: Allowable continuous torque (Nm) IR: Allowable continuous current (A) TL: Load torque (Nm); The polarity is positive (+) when the torque is applied in the rotation direction, or negative (-) when it is applied in the opposite direction. Calculation example Select an actuator that best suits the following operating conditions: Rotation speed: 0 r/min Load inertia moment: 0. kg m Since the load mechanism is mainly inertia, the load torque is negligibly small. () FLA-A-00FB-H- is tentatively selected. () From the rated table, the following values are obtained: JA = 0.0 kg m, TM =. Nm, TR =. Nm, KT =.0 Nm/A, IR =.A. () Based on the above formula, the actuator's friction torque TF is calculated as.0 x.. =. Nm. () The acceleration time and deceleration time can be obtained as follows from the above formulas: ta = (0.0+0.) x x π/0 x 0/. = 0.00 s td = (0.0+0.) x x π/0 x 0/(.+ x.) = 0.0 s () If the calculated acceleration/deceleration times are too long, correct the situation by: Reducing load inertia moment Selecting an actuator with a larger frame size -

51 - Examining operating status Examining effective torque and average rotation speed One way to check if the heat generated from the actuator during operation would present a problem is to determine if the point of operation, determined by the effective torque and average rotation speed, is inside the continuous motion range explained in [ - Operable range] (P-). Using the following formula, calculate the effective torque Tm and average rotation speed Nav when the actuator is operated repeatedly in the drive pattern shown to the right. T N m av = T a ta + Tr t t N ta + N tr = t + T d t ta : Acceleration time from speed 0 to N (s) td : Deceleration time from speed N to 0 (s) tr : Operation time at constant speed N (s) t : Cycle time (s) Tm : Effective torque (Nm) Ta : Torque during acceleration (Nm) Tr : Torque at constant speed (Nm) Td : Torque during deceleration (Nm) Nav : Average rotation speed (r/min) N : Rotation speed at constant speed (r/min) r + N t d d Calculation example An example of FLA-A-00FB-H- is explained. Operating conditions: Accelerate an inertia load and then let it move at a constant speed, followed by deceleration, based on conditions similar to those used in calculation example. The travel angle per cycle is 0 and the cycle time is second. () The travel angle is calculated from the area of the rotation speed vs. time diagram shown above. In other words, the travel angle is calculated as follows: θ = (N / 0) x {tr + (ta + td) / } x 0 Accordingly, tr = θ/ ( x N) (ta + td) / When θ= 0, and ta = 0.00 (s), td = 0.0 (s), N = 0 (r/min) in calculation example, are applied to this formula, tr is calculated as 0. (s). () Next, calculate the torque during acceleration and torque during deceleration. Based on the acceleration/deceleration time formulas in the preceding section, the relational expressions for torque during acceleration and torque during deceleration are as follows: Ta = (Ja+JL) x xπ / 0 x N / ta + TL Td = (Ja+JL) x xπ / 0 x N / td xtf TL When the values in calculation example are applied to this formula, Ta =. (Nm) and Td =.0 (Nm) are obtained. () Calculate the effective torque. Apply the values in () and (), and Tr = 0 (Nm) and t = (s), to the above formulas. T m = = N Torque Rotation speed. Nm ta Ta tr td t: Cycle time Tr ts: Stopped time Td ts Ta, Tr, Td: Output torques Time Time Selection guidelines 0 () Calculate the average rotation speed. Apply the values in (), and N = 0 (r/min) and t = (s), to the above formulas = Nav = 0.0 r/min -

52 - Examining operating status Selection guidelines 0 () The figure below shows the points of operation determined by the effective torque and average rotation speed calculated above, plotted on the graph of operable range of FLA- A-00FB-H-, exceeding the continuous motion range. The conclusion is that this actuator cannot be operated continuously under these conditions. Accordingly, the operation pattern load (possible reduction) actuator model No. etc., must be reexamined. The following formula is a modified version of the formula for effective torque. By applying the value of allowable continuous torque to Tm in this formula, the allowable cycle time can be calculated. T t = a t a + T r tr Tm + T d t d Torque [Nm] Motion range during acceleration and deceleration 0% duty motion range Continuous motion range Radiation plate: 0*0*0 (mm) Apply the following: Ta =. Nm, Tr = 0 Nm, Td =.0 Nm, Tm =. Nm, ta = 0.00 s, tr = 0. s, td = 0.0 s. Then, the following equation is obtained: t = (. x x 0.0)/. =.0 s Based on the result, setting the cycle time to. seconds or more to provide a longer stopped time gives Tm =. Nm or less, thereby permitting continuous operation within the allowable continuous torque. The aforementioned continuous motion range represents an allowable range where the actuator installed on a specified aluminum radiation plate is operated under natural air cooling. If the radiation area of the mounting member is small or heat conduction of the material is poor, adjust the operating conditions to keep the rise in the actuator's ambient temperature to 0 K or less as a guide. -

53 Chapter Installing the actuator The following explains the installation procedures of the actuators. - Receiving Inspection - - Notices on handling - - Location and installation -

54 - Receiving Inspection Installing the actuator - Receiving Inspection Check the following items after unpacking the package. Inspection procedure Check the items thoroughly for damage sustained during transportation. If any item is damaged, immediately contact the dealer. Check if the actuator is what you ordered. The nameplate is found on the rear end face of the FLA series actuator. Check the TYPE field on the nameplate to confirm that it is indeed the model you have ordered. If any item is wrong, immediately contact the dealer. Refer to the section [- Model] (P-) in this manual for the detail of the model codes. 0 WARNING WARNING When Using a Recommended Driver The characteristics of the recommended drivers have been adjusted according to the actuators and each model has its own driver parameters. Ensure that you check the driver and actuator models and use with the appropriate parameters. Using with invalid parameters may cause the actuator to burn out due to insufficient torque or overcurrent, resulting in an injury or fire. When Using a Driver Other Than Recommended Drivers When using a driver other than the recommended drivers, ensure that the specifications of the actuator are not exceeded. Using the driver exceeding the actuator specifications may cause an actuator malfunction or failure. -

55 - Notices on handling - Notices on handling Handle the FLA series actuator carefully by observing the notices specified below. CAUTION () Do not apply any excessive force or impact, especially to the actuator's output shaft. () Do not put the actuator on a table, shelf, etc., where the actuator could easily fall. () Do not connect the actuator terminals directly to the power supply. The actuator may burn and cause fire or electric shock. () The allowable storage temperature is -0 to +0. Do not expose the actuator to direct sunlight for long periods of time or store it in areas in low or high temperature. () The allowable relative storage humidity is 0% or less. Do not store the actuator in a very humid place or in areas where temperatures are likely to fluctuate greatly during day and night. ()Do not use or store the actuator in locations subject to flammable or corrosive gases or dust particles. Installation and transmission torque Examples of the FLA series actuator assembly are shown below. Use high-tension bolts and tighten them with a torque wrench to control the tightening torque. When fastening the actuator in place, use flat washers for bolt seating surfaces because the tightening torque is high and the actuator flange is made of aluminum. [Assembly example] Installing the actuator 0 -

56 - Notices on handling Installing the actuator Item Recommended tightening torque and transmission torque Model Output shaft FLA-A FLA-A FLA-A FLA-0A Actuator Output shaft Actuator Output shaft Actuator Output shaft Actuator Number of bolts, size -M -M -M -M -M -M -M -M Bolt installation mm 0 P.C.D. Tightening torque Nm Transmission torque Nm Note ) The female thread material is premised to withstand the bolt tightening torque ) Recommended bolt: Hexagonal bolt per JIS B Intensity category: JIS B 0. or higher ) Calculation conditions Torque efficiency: 0. Tightening efficiency:. Tightening friction coefficient: 0. Use of positioning pins The FLA series actuator has positioning pin holes in the output rotary unit. Use these pins as necessary. For details, refer to [- External dimensions] (P-) or the illustrated specifications. 0 *: Do not drive positioning pins, but keep proper fitting clearances to the actuator axises. Failure to do so may result in damage to the actuator, deformation of the actuator shaft, or decreased pin positional accuracy. Surface treatments Example of use of positioning pins Standard FLA series actuators are given the following surface treatments: Location Housing Speed reducer rotating part (output flange) Bolt Surface treatments No treatment (aluminum and plastic materials are exposed) Raydent treatment Chrome plating or no treatment (SUS material is exposed) The surface treatments given to FLA series actuators do not fully prevent rust. -

57 - Location and installation - Location and installation Environment of location The environmental conditions of the installation location for FLA series actuators must be as follows. Determine an appropriate installation location by observing these conditions without fail. Operating temperature: 0 to 0 The temperature in the cabinet may be higher than the atmosphere depending on the power loss of housed devices and size of the cabinet. Plan the cabinet size, cooling system, and device locations so the ambient temperature of the actuator is kept 0 or below. Operating humidity: Relative humidity of 0 to 0%. Make sure no condensation occurs. Take note that condensation is likely to occur in a place where there is a large temperature change between day and night or when the actuator is started/stopped frequently. Vibration: Impact: Use environment: Protection class: Do not expose it to the sunlight. Altitude: lower than,000 m above sea level m/s (0 to 00Hz) or less (Refer to [-0 Resistance to vibration] (P-)) 00 m/s or less (Refer to [- Shock resistance] (P-)) Free from condensation, metal powder, corrosive gases, water, oil mist, flammable gases, etc. Standard products are structurally designed to meet the IP-0 requirements. The protection class against water entry is as follows: 0: Not protected against entry of water. The protection class against contact and entry of foreign matter is as follows: : Protected against wires and etc. Protected against entry of a wire or solid matter that has a diameter of.00 mm or more. FLA series actuators have a simple sealed structure, which does not completely prevent lubricant leaks. Take additional measures to prevent leaks as necessary. Installing the actuator 0 -

58 - Location and installation Installing the actuator Installation When installing the actuator, pay attention to precision and do not tap the actuator output part with a hammer, etc. The actuator has built-in detectors such as a hall sensor. Excessive impact may damage the detectors. Installation procedure Align the axis of rotation of the actuator and the load mechanism precisely. Note : Perform this alignment carefully, especially when a rigid coupling is used. Even slight misalignment may cause the permissible load of the actuator to be exceeded, resulting in damage to the output shaft. Connect the driver and wiring. For details on wiring, refer to [- Cable specifications] (P-) and the related manuals of recommended drivers (S series/f series). Wire the motor cable and sensor cable. Do not pull the cables with a strong force. The connection points may be damaged. Install the cable with slack not to apply tension to the actuator. Provide a sufficient bending radius (at least times the cable diameter), especially when the cable flexes. 0 Do not bring strong magnetic bodies (magnet chucks, permanent magnets, etc.) near the rear cover of the actuator. A sensor abnormality or failure may result. WARNING Do not disassemble/reassemble the actuator. The actuator uses many precision parts. If the actuator is disassembled/reassembled by the customer, it may cause burned damage or uncontrollable operation of the actuator, resulting in fire or injury. -

59 Chapter Appendix A- Unit conversion - A- Calculating inertia moment -

60 Unit conversion Apx Appendix 0 A- Unit conversion This manual employs SI system for units. Conversion factors between the SI system and other systems are as follows: ()Length SI system m Unit ft. in. Factor Unit ft. in. Factor.. SI system m ()Linear speed SI system m/s Unit m/min ft./min ft./s in/s Factor 0.0.0x Unit m/min ft./min ft./s in/s Factor 0... SI system m/s ()Linear acceleration SI system m/s Unit m/min ft./min ft./s in/s Factor. x0 -.x Unit m/min ft./min ft./s in/s Factor 00.x0.. SI system m/s ()Force SI system N Unit kgf lb (force) oz (force) Factor.. 0. Unit kgf lb (force) oz (force) Factor SI system N ()Mass SI system kg Unit lb. oz. Factor Unit lb. oz. Factor.0. SI system kg ()Angle SI system rad Unit deg. min. sec. Factor 0.0.x0 -.x0 - Unit deg. min. sec. Factor..x0.0x0 SI system rad ()Angular speed SI system rad/s Unit deg/s deg/min r/s r/min Factor 0.0.x Unit deg/s deg/min r/s r/min Factor..x0 0.. SI system rad/s -

61 Unit conversion ()Angular acceleration SI system rad/s Unit deg/s deg/min Factor 0.0.x0 - Unit deg/s deg/min Factor..x0 SI system rad/s ()Torque SI system N m Unit kgf m lb ft lb in oz in Factor x0 - Unit kgf m lb ft lb in oz in Factor SI system N m (0)Inertia moment SI system kg m Unit kgf m s kgf cm s lb ft lb ft s lb in lb in s oz in oz in s Factor x0..x0. Unit kgf m s kgf cm s lb ft lb ft s lb in lb in s oz in oz in s Factor x0-0..x0 -.0x0 - SI system kg m ()Torsional spring constant, moment stiffness SI system N m/rad Unit kgf m/rad kgf m/arc min kgf m/ deg lb ft/ deg lb in/ deg Factor 0.0. x0 -.x Unit kgf m/rad kgf m/arc min kgf m/ deg lb ft/ deg lb in/ deg Factor.. x0.. SI system N m/rad Apx Appendix 0 -

62 Calculating inertia moment Apx Appendix 0 A- Calculating inertia moment Formula of mass and inertia moment () Both centerlines of rotation and gravity are the same: The following table includes formulas to calculate mass and inertia moment. m : mass (kg), Ix, Iy, Iz: inertia moments which rotates around x-, y-, z-axes respectively (kg m ) G : distance from end face of gravity center (m) ρ : specific gravity Unit Length: m, Mass: kg, Inertia moment: kg m Object form Mass, inertia, gravity center Object form Mass, inertia, gravity center Cylinder x R z L Slanted cylinder Ellipsoidal cylinder x B z L Rectangular pillar x θ B L z A R y y C C y m = π R L ρ Ix = mr Iy = Iz = m m m = π R L ρ Iθ = m L R + L R + { R ( + cos θ) + L sin θ} m = BCL ρ ( C ) Ix = m B + C L Iy = m + B L Iz = m + m = ABCρ ( C ) Ix = m B + ( A ) Iy = m C + ( B ) Iz = m A + Circular pipe z x Ball R R Cone L R: Outer diameter R: Inner diameter x R G z Square pipe D x B z A R L y y y m = π Iy = m ( R R ) Lρ ( ) Ix = m R + R Iz = m m = πr I = mr m = π R ( R + R ) ( R + R ) Ix = mr 0 Lρ ( L ) Iy = m R + 0 ( L ) Iz = m R + 0 L G = ρ m = AD( B - D)ρ {( B - D) D } L + L + Ix = m + A Iy = m + ( B- D) + D A Iz = m + ( B- D) + D -

63 Calculating inertia moment Object form Mass, inertia, gravity center Object form Mass, inertia, gravity center Rhombus pillar x Isosceles triangle pillar z x G B B z A A Hexagonal pillar Right triangle pillar Example of specific gravity The following tables show references of specific gravity. Confirm the specific gravity for the material of the drive load. Unit: g/cm Material C y C y m = ABCρ Ix = m B + Iy = m C + m = ABCρ = B Ix m Iy = Iz = C G = Specific gravity ( C ) ( A ) ( A ) Iz = m B + + C m A + C B m A + Material Specific gravity Material Specific gravity SUS0. Aluminum.0 Epoxy resin.0 SC. Duralumin.0 ABS.0 SS00. Silicon.0 Silicon resin.0 Cast iron. Quartz glass.0 Polyurethane rubber. Copper. Teflon.0 Brass.0 Fluorocarbon resin.0 () Both centerlines of rotation and gravity are not the same: The following formula calculates the inertia moment when the rotary center is different from the gravity center. I = Ig + mf I: Inertia moment when the gravity center axis does not match the rotational axis (kg m ) I g : Inertia moment when the gravity center axis matches the rotational axis (kg m ) Calculate according to the shape by using formula (). m: mass (kg) F: Distance between rotary center and gravity center (m) () Inertia moment of linear operation objects The inertia moment, converted to actuator axis, of a linear motion object driven by a screw, etc., is calculated using the formula below. P I = m π I: Inertia moment of a linear operation object converted to actuator axis (kg m ) m: mass (kg) P: Linear travel per actuator one revolution (m/rev) x B x G B G z z A A C y B y m = AB ρ Ix = mb Iy = m A + B Iz = m = ABCρ Ix = m( B + C ) Iy = m A + C Iz = m A + B C G = Rotary center axis m A + B F Gravity center axis B G = Apx Appendix 0 -

64 Calculating inertia moment Inertia moment of cylinder The inertia moment of a cylinder may be obtained from the graphs to the right. Inertia moment (kgm ) 000 Inertia moment (specific gravity:.) Length (mm) 000 Apx Appendix 0 Length Radius Apply the top graph to aluminum materials (specific gravity:.) and bottom graph to steel materials (specific gravity:.). (Example) Material: Aluminum Outer diameter: 00mm Length: mm Shape: Column Since the outer diameter is 00mm, the radius is 0mm. Therefore, the above graph gives the inertia moment as follows: Approx.. x 0 - kg m (Calculated value: kg m ) Radius R (mm) Inertia moment (kgm ) Length (mm) 000 Inertia moment (specific gravity:.) Radius R (mm) -

65 Warranty Period and Terms The equipment listed in this document is warranted as follows: Warranty period Under the condition that the actuator are handled, used and maintained properly followed each item of the documents and the manuals, all the applicable products are warranted against defects in workmanship and materials for the shorter period of either one year after delivery or,000 hours of operation time. Warranty terms All the applicable products are warranted against defects in workmanship and materials for the warranted period. This limited warranty does not apply to any product that has been subject to: () user's misapplication, improper installation, inadequate maintenance, or misuse. () disassembling, modification or repair by others than Harmonic Drive Systems, Inc. () imperfection caused by a non-applicable product. () disaster or others that does not belong to the responsibility of Harmonic Drive Systems, Inc. Our liability shall be limited exclusively to repairing or replacing the product only found by Harmonic Drive Systems, Inc. to be defective. Harmonic Drive Systems, Inc. shall not be liable for consequential damages of other equipment caused by the defective products, and shall not be liable for the incidental and consequential expenses and the labor costs for detaching and installing to the driven equipment.

66 Certified to ISO00/ISO00 (TÜV SÜD Management Service GmbH) All specifications and dimensions in this manual subject to change without notice. This manual is correct as of September 0. Head Office/Ichigo Omori Building, F -- Minami-Ohi, Shinagawa-ku, Tokyo, Japan 0-00 TEL+(0)--00 FAX+(0)-- Overseas Division/- Hotakamaki, Azumino-shi, Nagano, Japan -0 TEL+(0)-- FAX+(0)--0 HOTAKA Plant/- Hotakamaki, Azumino-shi, Nagano, Japan -0 TEL+(0)--00 FAX+(0)--0 Harmonic Drive AG/Hoenbergstraβe, Limburg, Germany TEL FAX0-00- Harmonic Drive L.L.C/ Lynnfield Street, Peabody, MA, 00, U.S.A. TEL FAX "HarmonicDrive " is a trademark of Harmonic Drive Systems Inc. The academic or general nomenclature of our products "HarmonicDrive " is "strain wave gearing." 0-0R-TFLA-E