LINE TECH Linear Modules. Ready to built-in linear modules with drive

Transcription

1 Ready to built-in linear modules with drive

2 Anodized profile, produced in extrusion molding method Linear rail guiding system (LM3 LM5) Actuation by ball screw, high-helix lead _ screw or toothed belt Optional inductive or mechanical limit _ switches AC servo drives or step motors, appropriate continuous or linear path control LINE TECH 2

3 Table of content page/s Design fundamentals 4 Designation system with ball screw drive 6 7 Designation system with toothed belt drive 8 9 Notices for the product selection: - Drives Mounting conditions Limit switches, Cables and Mating plugs Tables for cable assembly / plug code 16 Load rates 17 Dimension drawings - LM3 (Size 65) LM4 (Size 80) LM5 (Size 110) Dimensions motor mount 30 Grooves and sliding blocks, Profile cross-sections Calculation guidelines LINE TECH

4 Design fundamentals LINE TECH Linear Modules LINE TECH linear modules are of modular conception, ready to built-in linear carriages with drive unit. A linear rail guide with two guiding carriages is used as guiding element. The drive unit preferably consists of ball screws or toothed belts. With little axial load, also high-helix lead screws Speedy can be used. The guidance as well as the actuation are protected by a steel strapping or by the drive belt against the intrusion of dirt, chipping etc. The housing as well as the cradle are made of colorless anodized aluminium bars, prefabricated in an extrusion molding process. Additional, external mounted inductive proximity switches allow, in conjunction with servo drives or step motors and the control unit, for the perfect positioning and prevent from the carriage over run. Lubrication LINE TECH linear modules stand for a long lasting, maintenance free use. The guide system is therefore equipped with a specially developed device for continuous lubrication. Only the ball screws shall be lubricated approx. every 500 running hours through the provided grease point. Service temperature The permissible service temperature of 80 C is predetermined by the composites in use. For the motors and controls refer to the values in the respective publications. LINE TECH 4

5 Notes 5 LINE TECH

6 Designation system with ball screw drive Linear module (Designation exsample) L M B R Design LM = Linear module with linear rail guide Size (BxH) = 3 = size 65 x 85 mm 4 = size 80 x 100 mm 5 = size 110 x 129 mm H B Construction 2 = standard version Stroke absolut [mm] Protection B = with steel strapping N = without protection Drive N = without drive (in conjunction with mounting condition 00 ) R = rolled ball screw Stroke length per revolution [mm] LM3 LM4 LM5 rolled ball screw: 005, 010, , 010, , 010, 032 1) 1) not possible with ball screw with reduced axial play (preload R ) Limit switch 0 = without limit switch 1 = with 2 limit switches and reference position at front (drive mount) 2 = with 2 limit switches and reference position at rear (drive mount opposite) 3 = with 2 limit switches and additional reference switch at front (drive mount) 4 = with 2 limit switches and additional reference switch at rear (drive mount opposite) * seen from motor opposite towards motor ** available for lateral drive mount only *** standard version LINE TECH 6

7 Designation system with ball screw drive F - S 7 R L N N _ = Drawing type Lateral linear guide N = without lateral linear guide L = lateral linear guide left * R = lateral linear guide right * Connector shell N = without connector shell (loose cabel L = 2.0 m) *** S = with connector shell Position limit swiches / connector shell N = without limit switch L = left * R = right * Preload ball screw V = preloaded R = reduced axial play (play < 0.02 mm) *** N = without drive Tolerance class ball screw 7 = 52 µm / 300 mm *** 5 = 23 µm / 300 mm Material steel strapping N = without drive S = carbon steel R = stainless steel N = without steel strapping Motor mount N = without motor mount F = mounting plate for LINE TECH motor S = mounting plate for special motor Reduction 0 = without reduction (1 : 1 ** by lateral drive mount) 1 = reduction 1 : 2 ** 2 = reduction 1 : 2.5 ** Mounting conditions 00 = without drive (in conjunction with drive type N ) 01 = free shaft end 02 = with coupling and intermediate flange 03 = with crank and clamping 04 = set up for lateral drive mount right * 05 = set up for lateral drive mount left * 06 = set up for lateral drive mount top 07 = set up for lateral drive mount bottom 08 = with crank, clamping and lateral millimeter scale LINE TECH

8 LINE TECH-Linear Modules Designation system with toothed belt drive Linear Module (Designation exsample) L M B Z Design LM = Linear module with linear rail guide Size (BxH) = 3 = size 65 x 85 mm 4 = size 80 x 100 mm 5 = size 110 x 129 mm H B Construction 2 = standard version Stroke absolut [mm] Protection B = with steel strapping N = without protection Drive N = without drive (in conjunction with mounting condition 00 ) Z = toothed belt drive Stroke per revolution [mm] LM3 LM4 LM5 toothed belt drive: Limit switch 0 = without limit switch 1 = with 2 limit switches and reference position at front (drive mount) 2 = with 2 limit switches and reference position at rear (drive mount opposite) 3 = with 2 limit switches and additional reference switch at front (drive mount) 4 = with 2 limit switches and additional reference switch at rear (drive mount opposite) * seen from motor opposite towards motor ** available for lateral drive mount only *** standard version LINE TECH 8

9 LINE TECH-Linear Modules Designation system with toothed belt drive F - S N N L N N _ = Drawing type lateral linear guide N = without lateral linear guide L = lateral linear guide at left R = lateral linear guide at right Connector box N = without connector box (loose cable L = 2.0 m) *** S = with connector box Position limit switches / Connector box N = without limit switch L = left * R = right * Gear box mounting Gear box type N = without gear box *** H = Servo gear box (AE) S = Standard gear box (FH) N = without gear box D = top / rear H = front / top E = top / front K = front / bottom F = rear / bottom L = bottom / front G = rear / top M = bottom / rear Material steel strapping Motor mount N = without motor mount F = motor mount for LINE TECH motor S = motor mount for special motor N = without steel strapping S = carbon steel R = stainless steel Reduction 0 = without reduction X = i = (reduction gear box in conjunction with gear box types H or S Mounting conditions 00 = without drive (in conjunction with drive type N ) 11 = free shaft end right * 12 = free shaft end left * 13 = shaft end right with coupling and intermediate flange * 14 = shaft end left with coupling and intermediate flange * 17 = free shaft end on both sides (passing shaft) 18 = shaft end on both sides, with coupling and intermediate flange right 19 = shaft end on both sides, with coupling and intermediate flange left 25 = shaft end right with gear box mounting 26 = shaft end left with gear box mounting 27 = shaft on both sides, right with gear box mounting 28 = shaft on both sides, left with gear box mounting LINE TECH

10 Selection evidence Drive In order to simplify the selection of the optimal drive, you ll find hereafter the various drive solutions in line with the most important performance data. This allows for the comparison of the different drives and the selection of the drive solution appropriate to the customers individual need. In case of any specific or higher requirements to the positioning system we ask you to get in contact with LINE TECH customer service. Drive Size Execution 1) Stroke range Positioning diam. x pitch accuracy [mm] [mm] [µm/mm] Ball screw rolled rolled elective LM3 16x5, 16x10, 16x standard: 130/300 LM4 20x5, 20x20, 16x optional: 52/300 LM5 32x5, 32x10, 32x /300 High-helix lead screw «Speedy» LM3 16x25, 16x /300 LM4 24x40, 18x /300 LM5 30x50, 34x /300 Toothed belt, circumferential LM3 GT 5/ mm/u /1000 LM4 GT 5/ mm/u /1000 LM5 ST 8/ mm/u /1000 1) additional executions on request 3) subject to screw length and critical RPM (speed) as well as thread pitch 2) max. strength of extension at 1.6 m/sec LINE TECH 10

11 Selection evidence Repeating Reversal Speed Acceleration Axial load rate accuracy * backlash max. max. C dyn C 0 [+/- mm] [mm] [m/s] [m/s 2 ] [N] rolled normal backlash rolled 0.01 max ) or 3) pre-loaded 3) ) 3) ) 3) ) 3) zero backlash 1.6 (optional 5) 4) ) 0.1 zero backlash 1.6 (optional 5) 4) ) 0.1 zero backlash 1.6 (optional 5) 4) ) 4) no mechanical delimitation, depending on charge * without considering 5) special execution preloaded reversal backlash 11 LINE TECH

12 Selection evidence Mounting condition The LINE TECH positioning systems can be purchased in various mounting conditions (picture 1 to 10). Depending on the drive selection there are different standard configurations available. For the dimensions see page 30. Picture 1: Free shaft end straight (Mounting condition 01) Picture 2: Free shaft end right hand side (Mounting condition 11) Picture 3: Free shaft end left hand side (Mounting condition 12) Picture 4: Screw drive with coupling and intermediate plate (Mounting condition 02) LINE TECH 12

13 Selection evidence Picture 5: Screw drive with lateral drive mount left (Mounting condition 05) Picture 6: Screw drive with lateral drive mount right (Mounting condition 04) Picture 7: Screw drive with lateral drive mount bottom (Mounting condition 07) Picture 8: Screw drive with lateral drive mount top (Mounting condition 06) Picture 9: Belt drive left with coupling and intermediate plate (Mounting condition 14) Picture 10: Belt drive right with coupling and intermediate plate (Mounting condition 13) 13 LINE TECH

14 Limit switches Limit switches The limit switches are used in conjunction with a control unit to limit the stroke (prevent overrunning of the carriage) and to define the reference position. The widely used and LINE TECH standard inductive limit switches are of the PNP-break contact type and show the following characteristics: Supply: VDC Current consumption off-load: < 10 ma Load: max. 200 ma Mechanical switch-ratio: 0.4mm Fitting of the limit switches The fitting position of the limit switches is shown in picture 13a. The reference position can be allocated either to the plus (+) or to the minus (-) limit switch. Special applications often require a separate reference position switch which will be, upon customer definition, located between the plus and minus limit switch. The limit switch mounted closer to the drive (electrical motor) is named the front or forward limit switch. Limit switch-counterplugs with cable are not included in the delivery. However they can be ordered ready-made at LINE TECH (picture 13b). On request the limit switches can be connected to a connector shell (picture 13b). The limit switch cable (article ES31.2P) is equipped with a plug on one side. On request the following non standard limit switches are available: PNP-make type (PNP-NO) NPN-break type (NPN-NC) NPN-make type (NPN-NO) Mechanical limit switch (micro switch) The LINE TECH product range includes continuous- and linear path control systems as well as step motors, AC- and DC servo drives. The individual components are tuned together and complete LINE TECH elements to custom made positioning systems. Direction Reference point bridge + Direction Load + V DC PNP Opener 0 V (GND) Reference point in minus ( ) direction Front (drive side) Bridge pin 1 5 Reference point in plus (+) direction Rear (opposite drive side) Bridge pin PNP Opener 0 V (GND) + V DC Plug SFV50 acc. to IEC Load Plug connector The plug pin assignment for standard limit switches is shown in Figs. 11 and 12. The individual pins are assigned as follows: Pin 1 Pin 2 Pin 3 Pin 4 Pin 5 Minus ( ) direction (load) 0 V (GND) Plus ( ) direction (load) V DC Reference (load) Direction Reference + Direction Load + V DC PNP Opener 0 V (GND) Fig. 11: Plug connector with reference point bridge PNP Opener 4 0 V (GND) + V DC Load 2 5 PNP Opener 0 V (GND) + V DC Load Colour code legend for Figs. 11 and 12: Load = black +V DC = brown 0 V (GND) = blue 1 3 Plug SFV50 acc. to IEC Fig. 12: Plug connector with additional reference switch LINE TECH 14

15 Limit switches, Cables and Mating plugs Drive motor Plus limit switch at rear Minus limit switch in front Limit switch cable with connector (ES31.2P) Cable length 2 m Control unit Picture 13a: Fitting position of the limit switches Connector shell Picture 13b: Connector shell and cable Cables LINE TECH will assemble your cable to your specifications. Single cables can be obtained as per the following order reference: Cable K Use A = AC motor cable B = Brake cable D = DC motor cable E = encoder cable L = Limit switch cable N = Power cable R = Resolver cable S = Stepper motor cable (3-phase) T = Stepper motor cable (2-phase) Z = Special cable Cable length 03 = 3 m 05 = 5 m 10 = 10 m (for intermediate lengths use next longer cable) K L 05 R Sheath definition Outer / inner Plug code actor side according to table on next page Plug code feed side according to table on next page Code cable assembly according to table on next page M = PUR / PVC (E-chain suitable) * N = PVC / PVC (E-chain suitable) R = PUR / PUR (E-chain suitable) * standard Mating plug for limit switch connection CFLKB05A CFLKB05B LINE TECH can supply the following plug types for connecting limit switches: - Straight socket Article no.: CFLKB05A - Angle socket Article no.: CFLKB05B Fig. 14: Mating plug 15 LINE TECH

16 Tables for cable assembly / plug code Cable assembly Code Cable type Use Code Cable type Use 001 5x0.25C11Y-S L, Z x0.25C11Y-S E, Z x2.0X0.25C11Y-S E, R x0.5x11Y-S B G0.75C11Y A, S, T G0.75+2x(2x0.75)C11Y-S A, D G1.5+2x(2x0.75)C11Y-S A, D 020 Plug code Code Plug designation Use Code Cable type Use 000 loose cable end all pole SUB-D socket E, R pole SUB-D plug E, R pole SUB-D plug E, R 010 loose cable end for Servostar pole M23 socket counter-rotating E, R 011 loose cable end for Servostar pole M23 socket co-rotating E 012 loose cable end for Servostar pole F-code M23 socket counterrotating E 013 loose cable end for Servostar pole DIN41524 M16 straight plug L pole 20A 300V M23 plug A pole DIN angle plug L PE 9/26A 300/600 V M23 socket A pole DIN M16 straight socket L PE 7.5/11A 60/300 V M23 socket A pole DIN angle socket L pole 11A 380V M23 socket S pole M16 straight plug B pole 90 angle socket B 3 LINE TECH 16

17 Load rates Load rate The load rate is given by the guiding system. Considering the requested life time we recommend to apply max. 20% of the dynamic load rate to the unit. Mx 0 My 0 Torque Cz (2) Cz (1) Also for the torque, the values are determined by the execution of the guiding system. The illustration at right (picture 15) shows the directions of possible torque application. Cy (1) Cy (2) Z Y Mz 0 Area momentum For positioning units the maximum allowed deflection angle is of 5. This value being exceeded will have an impact on the unit s life-cycle. Picture 15: Directions of possible torque application Type Drive Load rates dynamic Load rates static Torques static Area momentum Cy (1) Cy (2) Cz (1) Cz (2) Cy 0 (1) Cy 0 (2) Cz 0 (1) Cz 0 (2) Mx 0 My 0 Mz 0 Iy s Iz s [kn] [kn] [Nm] [cm 4 ] LM3 Screw drive LM3 Toothed belt LM4 Screw drive LM4 Toothed belt LM5 Screw drive LM5 Toothed belt LINE TECH

18 LINE TECH Linear Module LM3 Size 65 Detailled table of content page(s) Dimension drawings LM3 (size 65): - LM3.2 with linear rail guiding system and screw drive 19 - LM3.2 with linear rail guiding system and toothed belt drive LINE TECH 18

19 LINE TECH Linear Module LM3.2 with linear rail guiding system and screw drive Stroke Nominal size Dimensions Designation L L M Screw length Length steel strapping Weight [mm] [kg] LM3.2. Stroke L 58 L + 22 L 22 4,6 kg + 0,65 kg/100 mm Stroke 19 LINE TECH

20 LINE TECH Linear Module LM3.2 with linear rail guiding system and toothed belt drive (without protection) 11 19,5 Stroke ,5 85 4x M4x8 19,5 40 ø 15 h ø 38 H7x L M 95 L x M5x8 65 8x M5 Nominal size Dimensions Designation L L M Belt length Weight [mm] [kg] LM3.2. NZ Stroke L x Stroke ,5 kg + 0,60 kg/100 mm Stroke LINE TECH 20

21 LINE TECH Linear Module LM3.2 with linear rail guiding system and toothed belt drive (with steel strapping) 11 19,5 Stroke , ,5 85 4x M4x ø 15 h L M L ø 38 H7x x M5x x M5 Nominal size Dimensions Designation L L M Belt length Length steel strapping Weight [mm] [kg] LM3.2. BZ Stroke L x Stroke L 10 4,8 kg + 0,60 kg/100 mm Stroke 21 LINE TECH

22 LINE TECH Linear Module LM4 Size 80 Detailled table of content page(s) Dimension drawings LM4 (size 80): - LM4.2 with linear rail guiding system and screw drive 23 - LM4.2 with linear rail guiding system and toothed belt drive LINE TECH 22

23 LINE TECH Linear Module LM4.2 with linear rail guiding system and screw drive Stroke Lubrication hole Nominal size Dimensions Designation L L M Screw length Length steel strapping Weight [mm] [kg] LM4.2. Stroke L 60 L + 30 L 28 7,8 kg + 0,95 kg/100 mm Stroke 23 LINE TECH

24 LINE TECH Linear Module LM4.2 with linear rail guiding system and toothed belt drive (without protection) Stroke Nominal size Dimensions Designation L L M Belt length Weight [mm] [kg] LM4.2. NZ Stroke L x Stroke ,4 kg + 0,93 kg/100 mm Stroke LINE TECH 24

25 LINE TECH Linear Module LM4.2 with linear rail guiding system and toothed belt drive (with steel strapping) Stroke Nominal size Dimensions Designation L L M Belt length Length steel strapping Weight [mm] [kg] LM4.2. BZ Stroke L x Stroke L 12 9,1 kg + 0,95 kg/100 mm Stroke 25 LINE TECH

26 LINE TECH Linear Module LM5 Size 110 Detailled table of content page(s) Dimension drawings LM5 (size 110): - LM5.2 with linear rail guiding system and screw drive 27 - LM5.2 with linear rail guiding system and toothed belt drive LINE TECH 26

27 LINE TECH Linear Module LM5.2 with linear rail guiding system and screw drive Stroke x M10x20 60,6 ø85 f8 ø22 h Lubrication hole 13 L M L , x M8x18 85 Nominal size Dimensions Designation L L M Screw length Length steel strapping Weight [mm] [kg] LM5.2. Stroke L 75 L + 50 L 30 16,8 kg + 1,90 kg/100 mm Stroke 27 LINE TECH

28 LINE TECH Linear Module LM5.2 with linear rail guiding system and toothed belt drive (without protection) 9 24,5 Stroke x M4x8 24, ø 19 h ø 64 H7x2.5 69,5 150 L M 150 L 4x M6x x M8x18 Nominal size Dimensions Designation L L M Belt length Weight [mm] [kg] LM5.2. NZ Stroke L x Stroke ,6 kg + 1,48 kg/100 mm Stroke LINE TECH 28

29 LINE TECH Linear Module LM5.2 with linear rail guiding system and toothed belt drive (with steel strapping) 9 18,5 Stroke x M4x8 18, ø 19 h L M L ø 64 H7x2.5 69, x M6x x M8x18 Nominal size Dimensions Designation L L M Belt length Length steel strapping Weight [mm] [kg] LM5.2. BZ Stroke L x Stroke L 14 19,5 kg + 1,50 kg/100 mm Stroke 29 LINE TECH

30 Dimensions motor mount Dimensions motor mount The basic dimensions for the drive mount are shown in this chapter. The dimensions shown in pictures 16 to 19 are also valid for the respective axially symmetric executions (drive mount left or bottom). The drive mount is likely to protrude above or below in most cases (depending on the size of the drive and the module respective. Type Dimensions A 1 A 2 B C D 1 D 2 E F* G* [mm] LM * * LM * * LM * * * dimension depending on motor type D 1 Intermediate plate upon motor B E A 1 F C Picture 16 Screw drive with coupling and intermediate plate Picture 17 Screw drive with lateral drive mount right Intermediate plate upon motor A 2 D 2 E C B G Picture 18 Screw drive with lateral drive mount top Picture 19 Belt drive right with coupling and intermediate plate LINE TECH 30

31 Notes 31 LINE TECH

32 Grooves and sliding blocks, Profile cross-sections LM3 Grooves and sliding blocks For all unit sizes the profiles, and often the carriages as well, come with grooves. The cradles of the linear modules LM4 and LM5 are not equipped with such. The fixing on those two types is made through threaded holes. The positions of the grooves as well as the maximum thread reach are shown in profile cross-sections. According to the groove width, sliding blocks of the types NS5, NS6 and NS8 are suitable. The sliding blocks are available at LINE TECH. The order number must show type, material and thread size (e.q. NS5 St M5). The available types are shown in the chart beside. a Groove Dimension a Material Order width number [mm] [mm] 5 M3 / M4 / M5 St / Inox NS5 6 M4 / M5 / M6 St / Inox NS6 8 M4 / M5 / M6 / M8 St / Inox NS8 Material Dim. a Sample: NS5 St M5 Profile cross-sections LM3.2 with linear rail guiding system and screw drive LM3.2 with linear rail guiding system and toothed belt drive M1:2 M1:2 LINE TECH 32

33 Profile cross-sections LM4/LM5 LM4.2 with linear rail guiding system and screw drive LM4.2 with linear rail guiding system and toothed belt drive M1:2 M1:2 LM5.2 with linear rail guiding system and screw drive LM5.2 with linear rail guiding system and toothed belt drive M1:2 M1:2 33 LINE TECH

34 Calculation guidelines Concept The determination of service life must be calculated based on the respective documents of the linear guide bar system and the ball screw drives. Also for the drive belts we shall refer to the specific literature. It is the guide bar or guide roller system which normally determines the service life. Therefore the following rules can be applied for a coarse definition. Dynamic load The nominal service life L10 is being calculated from the dynamic load factor C dyn [N] and the applied load F r [N]: C dyn 3 L 10 = ( ) F r Static load [105 m run] in case of only static load to be applied, the static index f S is being calculated in order to show that a module with an adequate load capacity has been selected. Taking into account the static load factor C 0 [N] and the load F r [N] it results: C 0 f S = F r If f S 1, the safety margin is sufficient. If f S 1, contact LINE TECH for further advise. Remark The above formulas are applicable only in case all bearings are equally loaded, i.e. the load F r F is applied at the center of the cradle. Especially in vertical arrangements of the linear modules, the drive (screw or belt) must be checked. LINE TECH disposes of different test programs. If you provide us all the necessary information, we ll be pleased to assist you. Definition of the drive motor The drive motor forms the link between the control signal and the movement to be applied to a given load. Size and type of the drive motor primarily depend on the load, the required displacement speed and the acceleration factor. Calculation and choice of a positioning unit shall be based on the worst case service conditions. For the optimal drive unit configuration, LINE TECH offers you different types of step-motors, DC and AC motors together with the appropriate continuous- or linear path control. To allow you the determination of the adequate drive motor for any specific application, always use the formulas and examples shown hereafter. Key to the formulas at page 43: d [mm] = screw diameter d 1 [mm] = diameter driving wheel d 2 [mm] = diameter driven gear d 3 [mm] = diameter pinion or belt pulley F L [N] = feed power i [ ] = gear reduction J [kgm 2 ] = mass moment of inertia J 1 [kgm 2 ] = mass moment of inertia driving wheel J 2 [kgm 2 ] = mass moment of inertia driven gear J M [kgm 2 ] = mass moment of inertia drive motor J R [kgm 2 ] = rotatory mass moment of inertia J T [kgm 2 ] = translatory mass moment of inertia l [mm] = screw length M B [Nm] = acceleration torque resp. breaking moment M d [Nm] = motor continuous torque (see motor spec.) M eff [Nm] = motor effective output torque M L [Nm] = load moment M M [Nm] = motor torque (see motor spec.) M max [Nm] = motor torque peak m T [kg] = external load ( linear moving mass) n k [min -1 ] = critical speed for screw drive n M [min -1 ] = motor speed p [mm] = screw pitch P A [W] = power output s B [mm] = acceleration / brake path t B [s] = acceleration / braking period t L [s] = running time under load moment t 0 [s] = stop period unloaded v [m/s] = rate of feed η [ ] = mechanical efficiency on motor shaft LINE TECH 34

35 Calculation guidelines J 2 m T v F L v m T F L d 3 i = d 1 d 2 M M n M J1 p (screw pitch) J M Drive motor J 2 i = d 1 d 2 MM, nm J M Drive motor J 1 Motor speed [min -1 ] n M = v p i n M = v π d 3 i Critical speed [min -1 ] n K = d l 2 Load moment [Nm] M L = p i F L π M L = d 3 i F L Translatory mass moment of inertia Rotatory mass moment of inertia (for steel) [kgm 2 ] [kgm 2 ] p J T = m T π J R = 7,7 d 4 l d 2 3 J T = m T Total of reduced mass moments mass moments of inertia [kgm 2 ] J = J M + J 1 + i 2 (J R + J T + J 2 ) (at gear reduction 1:2 => i = 0.5) Acceleration or Braking moment M B = f (n M ) [Nm] M B = n M J 9.55 t B Acceleration or Braking moment M B = f (s B ) [Nm] M B = 4 π s B J p i t 2 B M B = 4 s B J d 3 i t B 2 Acceleration or Braking moment t B = f (n M ) [s] t B = n M J 9.55 M B Acceleration or Braking moment *t B = f (s B ) [s] t B = 4 π s B J p i M B t B = 4 s B J d 3 i M B Speed reached after acceleration [min -1 ] n M = 120 s B p i t B n M = 120 s B d 3 π i t B Distance travelled during acceleration [mm] s B = n M t B p i 120 s B = n M t B d 3 π i 120 Sum of torques to be overcome by the motor [Nm] 1 M M = (M L + M B ) h Power output [W] P A = M M n M 9.55 Effective value of motor output torque [Nm] M eff = t B (M M /M d ) 2 + t L (M L /M d ) 2 t B + t L + t 0 M d 35 LINE TECH

36 Product range The LINE TECH product range includes mechanical, electrical and electronic components which meet all the requirements of modern handling technology and special purpose machine building. Due to their superior design characteristics LINE TECH positioning units and LINE TECH linear modules linear carriages of modular design are ideally suited to applications with high precision and performance requirements. Various sizes and a multitude of drives allow for application specific problem solving. LINE TECH AG Europastrasse 19 CH-8152 Glattbrugg Phone Fax info@linetech.ch LINE TECH controls and drives are specifically designed for single-axle and multi-axle positioning units. The wide range of products includes continuousand linear path control systems as well as step motors, DC and AC servo motors and thus meeting any requirement of control systems. Besides the manufacture of components, LINE TECH specializes in the development of system solutions. It goes without saying that this includes commissioning by LINE TECH customer service upon request. Your LINE TECH representative: is a registered trade mark of LINE TECH AG. LINE TECH AG e Subject to design changes