Measurement Techniques for Engineers. Motion and Vibration Measurement
|
|
- Domenic Allison
- 5 years ago
- Views:
Transcription
1 Measurement Techniques for Engineers Motion and Vibration Measurement
2 Introduction Quantities that may need to be measured are velocity, acceleration and vibration amplitude Quantities useful in predicting fatigue failure of a particular part or machine or analysis to reduce structural vibrations or noise
3 Introduction Need to determine appropriate quantities in reference to a specified state ie velocity, displacement or acceleration in relation to ground Ideally want a transducer that connects to body in motion and provides output proportional to vibrational input
4 Introduction Ideal transducer independent of location should work whether vibrating structure is on ground, in air or in space Sound can be classified as a vibratory phenomena, especially important in building and equipment design (specialised and course does not cover this)
5 Simple Vibration Instruments Simple Wedge - attached to vibrating wall, at rest see a single wedge Wall is vibrating up and down in figure When vibration occurs see movement of wedge and can measure overlap distance shown in figure Using trigonometry the amplitude of the vibration can be calculated
6 Simple Vibration Instruments Cantilever beam - mounted on block placed against vibrating surface and length is able to be varied beam length is adjusted so the beam vibrates at natural frequency - resonance
7 Simple Vibration Instruments frequency of motion can be calculated based on Young s modulus of material, moment of inertia of beam, mass and length, which are all known
8 Principles of Seismic Instrument Used to measure motion of surfaces to which they are fixed sensitive to motion along one axis only therefore if motion 3D need 3 pickups along 3 mutually perpendicular axes Essential component is a seismic mass
9 inertia of seismic mass (tendency to remain fixed in spatial position) causes it to lag behind the motion of the casing when casing accelerated - causes deflection in support Principles of Seismic Instrument Seismic mass - body of metal suspended from a resilient support resilient support - one which deflection is proportional to the force applied to it
10 Principles of Seismic Instrument Deflection forms input to transducer which produces output signal figure 9.3 shows a potentiometer but any kind of transducer can be used Another example, seismic instrument in form of an accelerometer using a transducer in the form of an unbonded strain gauge
11 Principles of Seismic Instrument Dashpot in figure 9.3 represents damping which may come from hysteresis of supporting material or by filling casing with silicone fluid of suitable viscosity Select mass, stiffness of support and damping and by choosing appropriate transducer can be designed as a displacement pickup or a acceleration pickup (accelerometer)
12 Principles of Seismic Instrument Generally large mass and soft springs for vibrational displacement and small mass and stiff spring for acceleration indications Seismic pickup is essentially a damped spring mass system and natural frequency of vibration is calculated from spring stiffness and mass of seismic mass
13 Displacement Pickups Used to measure displacement of vibrating body when no fixed reference point available (eg movement of car body) Therefore want seismic mass to behave as if fixed in space Use large seismic mass and relatively floppy resilient support
14 Displacement Pickups Gives low natural angular frequency for system figure 9.4 shows frequency response of ζ = Actualdamp displacement pickup with various values of damping ratio (ζ) ζ=actual Damping Critical Damping
15 Displacement Pickups Critical damping = value of damping which allows displaced mass to return to original position without overshooting If ζ>1 mass returns slowly without overshooting If ζ<1 mass returns more quickly but overshoots and oscilates
16 Displacement Pickups For frequencies of vibration above natural frequency displacement of casing and mass are equal but opposite Seismic mass therefore virtually stands still Optimum ζ=0.707 in terms of least variation in displacement ratio so displacement pickups designed to have damping ratio of 0.7
17 Displacement Pickups At ζ=0.7 can bring ω/ω n down to 1.75 before error in displacement measurement exceeds 5%
18 Velocity Pickups Signal proportional to velocity may be obtained from a vibration by differentiating the signal from a displacement pickup by passing it through a differentiating circuit integrating the signal from an accelerometer by passing it through an integrating circuit using a seismic velocity pickup
19 Velocity Pickups Seismic velocity pickup - similar to figure 9.3 but with a velocity transducer instead of a displacement transducer Integrating from an accelerometer gives a much more accurate result than differentiating from a displacement pickup - differentiation amplifies errors in signal but integration diminishes them
20 Velocity Pickups Velocity pickup - gives a direct velocity signal, this can be passed through an integrating circuit to give a displacement signal as well Velocity pickup designed to have a low value of ω n and to operate at angular frequencies well above this
21 Velocity Pickups So motion of seismic mass is virtually the same as that of the casing but opposite in phase Transducer is usually coil of wire carried by seismic mass
22 Velocity Pickups coil suspended in radial magnetic field so voltage is proportional to velocity generated in coil when it is vibrated axially Seismic mass consists of central rod plus nuts washers and coil former Rod connects together two flexible diaphragms whose stiffness add to form the spring
23 Velocity Pickups Coil former suspends coil in narrow annular slot in cylindrical magnet - field acting radially across slot Coil former may be made of metal so eddy currents are generated in it to provide eddy current damping
24 Acceleration pickups By designing the pickup system in figure 9.3 to have a low value of ω n could be used as displacement or velocity pickup for angular frequencies well above ω n For acceleration pickup have to go to opposite extreme
25 Acceleration pickups Fig 9.4 shows that for angular frequencies well below ω n the displacement of the seismic mass relative to the casing tends to zero Therefore at much lower frequencies seismic mass must be accelerating with same acceleration as casing therefore corresponding forces must apply to spring
26 Acceleration pickups Can use spring as transducer to tell us force applied to known mass and hence acceleration of mass and casing Fig 9.6 show the ratio of acceleration of seismic mass to acceleration of casing against ω/ ω n for values of ζ
27 Acceleration pickups Curve in fig 9.6 indicates that provided the damping ratio does not exceed 1.0 accurate readings will be obtained for frequencies of vibration from 0 to 0.2 of undamped natural frequency for heavier damping upper frequency limit will be less
28 Acceleration pickups Most accelerometers use a piezoelectric crystal as combined spring and transducer damping ratio of crystal almost zero ζ=0.01 ideal damping ration ζ=0.7 would give accurate reading up to 0.5 ω n
29 Acceleration pickups for accelerometer want highest undamped natural frequency (high spring stiffness and low mass) So piezoelectric crystal usually used as connection between seismic mass and casing as has high modulus of elasticity and so very high spring stiffness
30 Acceleration pickups Disadvantage at low frequencies of vibration charge leaks so limit to low frequency use (about 5 Hz)
10 Measurement of Acceleration, Vibration and Shock Transducers
Chapter 10: Acceleration, Vibration and Shock Measurement Dr. Lufti Al-Sharif (Revision 1.0, 25/5/2008) 1. Introduction This chapter examines the measurement of acceleration, vibration and shock. It starts
More informationBasic Principle of Strain Gauge Accelerometer. Description of Strain Gauge Accelerometer
Basic Principle of Strain Gauge Accelerometer When a cantilever beam attached with a mass at its free end is subjected to vibration, vibrational displacement of the mass takes place. Depending on the displacement
More informationLecture 19. Measurement of Solid-Mechanical Quantities (Chapter 8) Measuring Strain Measuring Displacement Measuring Linear Velocity
MECH 373 Instrumentation and Measurements Lecture 19 Measurement of Solid-Mechanical Quantities (Chapter 8) Measuring Strain Measuring Displacement Measuring Linear Velocity Measuring Accepleration and
More informationChapter 7 Vibration Measurement and Applications
Chapter 7 Vibration Measurement and Applications Dr. Tan Wei Hong School of Mechatronic Engineering Universiti Malaysia Perlis (UniMAP) Pauh Putra Campus ENT 346 Vibration Mechanics Chapter Outline 7.1
More informationLecture 20. Measuring Pressure and Temperature (Chapter 9) Measuring Pressure Measuring Temperature MECH 373. Instrumentation and Measurements
MECH 373 Instrumentation and Measurements Lecture 20 Measuring Pressure and Temperature (Chapter 9) Measuring Pressure Measuring Temperature 1 Measuring Acceleration and Vibration Accelerometers using
More informationChapter a. Spring constant, k : The change in the force per unit length change of the spring. b. Coefficient of subgrade reaction, k:
Principles of Soil Dynamics 3rd Edition Das SOLUTIONS MANUAL Full clear download (no formatting errors) at: https://testbankreal.com/download/principles-soil-dynamics-3rd-editiondas-solutions-manual/ Chapter
More informationEE 5344 Introduction to MEMS CHAPTER 6 Mechanical Sensors. 1. Position Displacement x, θ 2. Velocity, speed Kinematic
I. Mechanical Measurands: 1. Classification of main types: EE 5344 Introduction MEMS CHAPTER 6 Mechanical Sensors 1. Position Displacement x, θ. Velocity, speed Kinematic dx dθ v =, = ω 3. Acceleration
More informationThe secondary winding have equal no. of turns. The secondary windings are placed identically on either side of the primary winding.
UNIT 4 DISPLACEMENT MEASURMENT Electrical comparator Working principle of Electrical comparators: These instruments are based on the theory of Wheatstone A.C. Bridge. When the bridge is electrically balanced,
More informationSENSORS and TRANSDUCERS
SENSORS and TRANSDUCERS Tadeusz Stepinski, Signaler och system The Mechanical Energy Domain Physics Surface acoustic waves Silicon microresonators Variable resistance sensors Piezoelectric sensors Capacitive
More informationLANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR.
LANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR. IBIKUNLE ROTIMI ADEDAYO SIMPLE HARMONIC MOTION. Introduction Consider
More informationSensors and Transducers. mywbut.com
Sensors and Transducers 1 Objectives At the end of this chapter, the students should be able to: describe the principle of operation of various sensors and transducers; namely.. Resistive Position Transducers.
More informationModule 2 Mechanics of Machining. Version 2 ME IIT, Kharagpur
Module 2 Mechanics of Machining Lesson 10 Dynamometers for measuring cutting forces Instructional objectives At the end of this lesson, the students would be able to (i) (ii) (iii) (iv) show the general
More informationME 515 Mechatronics. Overview of Computer based Control System
ME 515 Mechatronics Introduction to Sensors I Asanga Ratnaweera Department of Faculty of Engineering University of Peradeniya Tel: 081239 (3627) Email: asangar@pdn.ac.lk Overview of Computer based Control
More informationI. MEASUREMENT OF TEMPERATURE
I. MEASUREMENT OF TEMPERATURE Most frequent measurement and control Direct contact: thermometer, Indirect contact: pyrometer (detect generated heat or sensing optical properties) 1. Definition of temperature
More informationDisplacement at very low frequencies produces very low accelerations since:
SEISMOLOGY The ability to do earthquake location and calculate magnitude immediately brings us into two basic requirement of instrumentation: Keeping accurate time and determining the frequency dependent
More informationStep 1: Mathematical Modeling
083 Mechanical Vibrations Lesson Vibration Analysis Procedure The analysis of a vibrating system usually involves four steps: mathematical modeling derivation of the governing uations solution of the uations
More informationPart 2. Sensor and Transducer Instrument Selection Criteria (3 Hour)
Part 2 Sensor and Transducer Instrument Selection Criteria (3 Hour) At the end of this chapter, you should be able to: Describe the definition of sensor and transducer Determine the specification of control
More informationMAE106 Laboratory Exercises Lab # 6 - Vibrating systems
MAE106 Laboratory Exercises Lab # 6 - Vibrating systems Goals Understand how the oscillations in a mechanical system affect its behavior. Parts & equipment Qty Part/Equipment 1 Seeeduino board 1 Motor
More informationChapter 23: Principles of Passive Vibration Control: Design of absorber
Chapter 23: Principles of Passive Vibration Control: Design of absorber INTRODUCTION The term 'vibration absorber' is used for passive devices attached to the vibrating structure. Such devices are made
More informationIntroduction to structural dynamics
Introduction to structural dynamics p n m n u n p n-1 p 3... m n-1 m 3... u n-1 u 3 k 1 c 1 u 1 u 2 k 2 m p 1 1 c 2 m2 p 2 k n c n m n u n p n m 2 p 2 u 2 m 1 p 1 u 1 Static vs dynamic analysis Static
More informationIntroduction to Mechanical Vibration
2103433 Introduction to Mechanical Vibration Nopdanai Ajavakom (NAV) 1 Course Topics Introduction to Vibration What is vibration? Basic concepts of vibration Modeling Linearization Single-Degree-of-Freedom
More informationNONLINEAR CHARACTERISTICS OF THE PILE-SOIL SYSTEM UNDER VERTICAL VIBRATION
IGC 2009, Guntur, INDIA NONLINEAR CHARACTERISTICS OF THE PILE-SOIL SYSTEM UNDER VERTICAL VIBRATION B. Manna Lecturer, Civil Engineering Department, National Institute of Technology, Rourkela 769008, India.
More information(Refer Slide Time: 1: 19)
Mechanical Measurements and Metrology Prof. S. P. Venkateshan Department of Mechanical Engineering Indian Institute of Technology, Madras Module - 4 Lecture - 46 Force Measurement So this will be lecture
More informationAPPLICATIONS OF VIBRATION TRANSDUCERS
APPLICATIONS OF VIBRATION TRANSDUCERS 1) Measurements on Structures or Machinery Casings: Accelerometers and Velocity Sensors Used in gas turbines, axial compressors, small and mid-size pumps. These sensors
More informationPIEZOELECTRIC TECHNOLOGY PRIMER
PIEZOELECTRIC TECHNOLOGY PRIMER James R. Phillips Sr. Member of Technical Staff CTS Wireless Components 4800 Alameda Blvd. N.E. Albuquerque, New Mexico 87113 Piezoelectricity The piezoelectric effect is
More informationModule I Module I: traditional test instrumentation and acquisition systems. Prof. Ramat, Stefano
Preparatory Course (task NA 3.6) Basics of experimental testing and theoretical background Module I Module I: traditional test instrumentation and acquisition systems Prof. Ramat, Stefano Transducers A
More informationSENSORS AND TRANSDUCERS
Electrical Measurements International Program Department of Electrical Engineering UNIVERSITAS INDONESIA ANDRITTO ABDUL GHAFFAR ANDHIKA ADIEL INSANI Lecturer : Ir. Chairul Hudaya, ST, M.Eng., Ph.D., IPM
More informationEngineering Science OUTCOME 2 - TUTORIAL 3 FREE VIBRATIONS
Unit 2: Unit code: QCF Level: 4 Credit value: 5 Engineering Science L/60/404 OUTCOME 2 - TUTORIAL 3 FREE VIBRATIONS UNIT CONTENT OUTCOME 2 Be able to determine the behavioural characteristics of elements
More informationMechatronics II Laboratory EXPERIMENT #1: FORCE AND TORQUE SENSORS DC Motor Characteristics Dynamometer, Part I
Mechatronics II Laboratory EXPEIMENT #1: FOCE AND TOQUE SENSOS DC Motor Characteristics Dynamometer, Part I Force Sensors Force and torque are not measured directly. Typically, the deformation or strain
More informationRobotics Intelligent sensors (part 2)
Robotics Intelligent sensors (part ) Tullio Facchinetti Tuesday 6 th December, 06 http://robot.unipv.it/toolleeo Pressure measurement static pressure is a force applied to
More informationResonant Column and Torsional Cyclic Shear System
Resonant Column and Torsional Cyclic Shear System Combined Resonant Column (RC) & Torsional Cyclic Shear (TCS) Test apparatus to determinate with saturated soil : Shear Modulus Damping Modulus versus Shear
More informationLaboratory 7 Measurement on Strain & Force. Department of Mechanical and Aerospace Engineering University of California, San Diego MAE170
Laboratory 7 Measurement on Strain & Force Department of Mechanical and Aerospace Engineering University of California, San Diego MAE170 Megan Ong Diana Wu Wong B01 Tuesday 11am May 17 th, 2015 Abstract:
More informationVirtual Prototyping of Electrodynamic Loudspeakers by Utilizing a Finite Element Method
Virtual Prototyping of Electrodynamic Loudspeakers by Utilizing a Finite Element Method R. Lerch a, M. Kaltenbacher a and M. Meiler b a Univ. Erlangen-Nuremberg, Dept. of Sensor Technology, Paul-Gordan-Str.
More informationSIMPLE HARMONIC MOTION
SIMPLE HARMONIC MOTION PURPOSE The purpose of this experiment is to investigate simple harmonic motion. We will determine the elastic spring constant of a spring first and then study small vertical oscillations
More informationspring magnet Fig. 7.1 One end of the magnet hangs inside a coil of wire. The coil is connected in series with a resistor R.
1 A magnet is suspended vertically from a fixed point by means of a spring, as shown in Fig. 7.1. spring magnet coil R Fig. 7.1 One end of the magnet hangs inside a coil of wire. The coil is connected
More informationStrain Measurements. Isaac Choutapalli
Note that for axial elongation (Eaxiai > 0), Erransverse (from Equation C.6), and therefore Strain Measurements Isaac Choutapalli Department of Mechanical Engineering The University of Texas - Pan American
More informationFinite Element Analysis of Piezoelectric Cantilever
Finite Element Analysis of Piezoelectric Cantilever Nitin N More Department of Mechanical Engineering K.L.E S College of Engineering and Technology, Belgaum, Karnataka, India. Abstract- Energy (or power)
More informationEQUIVALENT SINGLE-DEGREE-OF-FREEDOM SYSTEM AND FREE VIBRATION
1 EQUIVALENT SINGLE-DEGREE-OF-FREEDOM SYSTEM AND FREE VIBRATION The course on Mechanical Vibration is an important part of the Mechanical Engineering undergraduate curriculum. It is necessary for the development
More informationTRANSFORMERS B O O K P G
TRANSFORMERS B O O K P G. 4 4 4-449 REVIEW The RMS equivalent current is defined as the dc that will provide the same power in the resistor as the ac does on average P average = I 2 RMS R = 1 2 I 0 2 R=
More informationForce and Displacement Measurement
Force and Displacement Measurement Prof. R.G. Longoria Updated Fall 20 Simple ways to measure a force http://scienceblogs.com/dotphysics/200/02/diy_force_probe.php Example: Key Force/Deflection measure
More informationBook Page cgrahamphysics.com Transformers
Book Page 444-449 Transformers Review The RMS equivalent current is defined as the dc that will provide the same power in the resistor as the ac does on average P average = I 2 RMS R = 1 2 I 0 2 R= V RMS
More informationDynamics of Machinery
Dynamics of Machinery Two Mark Questions & Answers Varun B Page 1 Force Analysis 1. Define inertia force. Inertia force is an imaginary force, which when acts upon a rigid body, brings it to an equilibrium
More information17 M00/430/H(2) B3. This question is about an oscillating magnet.
17 M00/430/H(2) B3. This question is about an oscillating magnet. The diagram below shows a magnet M suspended vertically from a spring. When the magnet is in equilibrium its mid-point P coincides with
More informationC. points X and Y only. D. points O, X and Y only. (Total 1 mark)
Grade 11 Physics -- Homework 16 -- Answers on a separate sheet of paper, please 1. A cart, connected to two identical springs, is oscillating with simple harmonic motion between two points X and Y that
More informationSlide 1. Temperatures Light (Optoelectronics) Magnetic Fields Strain Pressure Displacement and Rotation Acceleration Electronic Sensors
Slide 1 Electronic Sensors Electronic sensors can be designed to detect a variety of quantitative aspects of a given physical system. Such quantities include: Temperatures Light (Optoelectronics) Magnetic
More informationModeling and Experimentation: Mass-Spring-Damper System Dynamics
Modeling and Experimentation: Mass-Spring-Damper System Dynamics Prof. R.G. Longoria Department of Mechanical Engineering The University of Texas at Austin July 20, 2014 Overview 1 This lab is meant to
More informationAPPLICATION OF DENSITOMETERS TO LIQUID MEASUREMENT Class #
APPLICATION OF DENSITOMETERS TO LIQUID MEASUREMENT Class # 2010.1 Joe Harris National Sales Manager Anton Paar USA 10215 Timber Ridge Drive Ashland, VA 23005 Introduction There are a variety of accurate
More informationSound Waves. Sound waves are longitudinal waves traveling through a medium Sound waves are produced from vibrating objects.
Sound Waves Sound waves are longitudinal waves traveling through a medium Sound waves are produced from vibrating objects Introduction Sound Waves: Molecular View When sound travels through a medium, there
More informationDEVELOPMENT OF SEISMIC ISOLATION TABLE COMPOSED OF AN X-Y TABLE AND WIRE ROPE ISOLATORS
DEVELOPMENT OF SEISMIC ISOLATION TABLE COMPOSED OF AN X-Y TABLE AND WIRE ROPE ISOLATORS 7 Hirokazu SHIMODA, Norio NAGAI, Haruo SHIMOSAKA And Kenichiro OHMATA 4 SUMMARY In this study, a new type of isolation
More informationWEEKS 8-9 Dynamics of Machinery
WEEKS 8-9 Dynamics of Machinery References Theory of Machines and Mechanisms, J.J.Uicker, G.R.Pennock ve J.E. Shigley, 2011 Mechanical Vibrations, Singiresu S. Rao, 2010 Mechanical Vibrations: Theory and
More informationChapter III Harmonic Excitation of Single-Degree-of-Freedom systems Forced Vibration
Chapter III Harmonic Excitation of Single-Degree-of-Freedom systems Forced Vibration There are many sources of excitations that cause machines and structures to vibrate. They include Unbalance rotating
More informationINSTRUMENTATION ECE Fourth Semester. Presented By:- Sumit Grover Lect., Deptt. of ECE
INSTRUMENTATION ECE Fourth Semester Presented By:- Sumit Grover Lect., Deptt. of ECE Detailed Contents Objectives Sensors and transducer Classification of transducers Temperature transducers Resistance
More informationCOMPLEX MODULUS AND DAMPING MEASUREMENTS USING RESONANT AND NON-RESONANT METHODS
COMPLEX MODULUS AND DAMPING MEASUREMENTS USING RESONANT AND NON-RESONANT METHODS S. Gade, K. Zaveri, H. Konstantin-Hansen and H. Herlufsen Briiel & Kjaer, Skodsborgvej 307,285O Naerum, Denmark ABSTRACT
More informationDESIGN AND SIMULATION OF UNDER WATER ACOUSTIC MEMS SENSOR
DESIGN AND SIMULATION OF UNDER WATER ACOUSTIC MEMS SENSOR Smitha G Prabhu 1, Nagabhushana S *2 1 Dept. Of Electronics and communication, Center for Nano Materials and MEMS, 2 Dept. of Electronics and Communication,
More informationThe 5rd International Conference on. COMEC OCTOBER 2013, Brasov, Romania WORK SAFETY
The 5rd International Conference on Computational Mechanics and Virtual Engineering COMEC 2013 24 25 OCTOBER 2013, Brasov, Romania THEORETICAL STUDIES AND EXPERIMENTAL DETERMINATIONS FOCUSED ON THE INCREASE
More informationDynamics of structures
Dynamics of structures 2.Vibrations: single degree of freedom system Arnaud Deraemaeker (aderaema@ulb.ac.be) 1 Outline of the chapter *One degree of freedom systems in real life Hypothesis Examples *Response
More informationMembers Subjected to Torsional Loads
Members Subjected to Torsional Loads Torsion of circular shafts Definition of Torsion: Consider a shaft rigidly clamped at one end and twisted at the other end by a torque T = F.d applied in a plane perpendicular
More information1. Distinguish the important characteristics of instrument that are totally electrical and totally electronic in nature. [16]
Code No: RR320204 Set No. 1 1. Distinguish the important characteristics of instrument that are totally electrical and totally electronic in nature. [16] 2. Distinguish between deterministic signals and
More informationEstimation of Rotational FRFs via Cancellation Methods
Estimation of Rotational FRFs via Cancellation Methods Nomenclature ij ( l, k ) ij M. Reza shory, Semnan university, Iran Email: mashoori@semnan.ac.ir exact ccelerance measured accelerance when two mechanical
More informationModule 4: Dynamic Vibration Absorbers and Vibration Isolator Lecture 19: Active DVA. The Lecture Contains: Development of an Active DVA
The Lecture Contains: Development of an Active DVA Proof Mass Actutor Application of Active DVA file:///d /chitra/vibration_upload/lecture19/19_1.htm[6/25/2012 12:35:51 PM] In this section, we will consider
More informationDesign of a MEMS Capacitive Comb-drive Accelerometer
Design of a MEMS Capacitive Comb-drive Accelerometer Tolga Kaya* 1, Behrouz Shiari 2, Kevin Petsch 1 and David Yates 2 1 Central Michigan University, 2 University of Michigan * kaya2t@cmich.edu Abstract:
More informationDSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 1
DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 1 Problem 1 (Motor-Fan): A motor and fan are to be connected as shown in Figure 1. The torque-speed characteristics of the motor and fan are plotted on the same
More informationRaymond A. Serway Chris Vuille. Chapter Thirteen. Vibrations and Waves
Raymond A. Serway Chris Vuille Chapter Thirteen Vibrations and Waves Periodic Motion and Waves Periodic motion is one of the most important kinds of physical behavior Will include a closer look at Hooke
More informationNatural Frequency and Mode Shape Analysis of Circular Cutters
IOSR Journal of Engineering (IOSRJEN) ISSN: 2250-3021 ISBN: 2878-8719 PP 61-65 National Symposium on engineering and Research Natural Frequency and Mode Shape Analysis of Circular Cutters Mr. Katale Ganesh
More information7.Piezoelectric, Accelerometer and Laser Sensors
7.Piezoelectric, Accelerometer and Laser Sensors 7.1 Piezoelectric sensors: (Silva p.253) Piezoelectric materials such as lead-zirconate-titanate (PZT) can generate electrical charge and potential difference
More informationHonors Differential Equations
MIT OpenCourseWare http://ocw.mit.edu 18.034 Honors Differential Equations Spring 009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. LECTURE 7. MECHANICAL
More informationKNIFE EDGE FLAT ROLLER
EXPERIMENT N0. 1 To Determine jumping speed of cam Equipment: Cam Analysis Machine Aim: To determine jumping speed of Cam Formulae used: Upward inertial force = Wvω 2 /g Downward force = W + Ks For good
More informationAnalytical Design of Micro Electro Mechanical Systems (MEMS) based Piezoelectric Accelerometer for high g acceleration
Analytical Design of Micro Electro Mechanical Systems (MEMS) based Piezoelectric Accelerometer for high g acceleration Arti Arora 1, Himanshu Monga 2, Anil Arora 3 Baddi University of Emerging Science
More informationDESIGN AND FABRICATION OF THE MICRO- ACCELEROMETER USING PIEZOELECTRIC THIN FILMS
DESIGN AND FABRICATION OF THE MICRO- ACCELEROMETER USING PIEZOELECTRIC THIN FILMS JYH-CHENG YU and FU-HSIN LAI Department of Mechanical Engineering National Taiwan University of Science and Technology
More informationChapter 8. Model of the Accelerometer. 8.1 The static model 8.2 The dynamic model 8.3 Sensor System simulation
Chapter 8. Model of the Accelerometer 8.1 The static model 8.2 The dynamic model 8.3 Sensor System simulation 8.2.1 Basic equations 8.2.2 Resonant frequency 8.2.3 Squeeze-film damping 8.2 The dynamic model
More informationTransduction Based on Changes in the Energy Stored in an Electrical Field
Lecture 6- Transduction Based on Changes in the Energy Stored in an Electrical Field Actuator Examples Microgrippers Normal force driving In-plane force driving» Comb-drive device F = εav d 1 ε oε F rwv
More informationT1 T e c h n i c a l S e c t i o n
1.5 Principles of Noise Reduction A good vibration isolation system is reducing vibration transmission through structures and thus, radiation of these vibration into air, thereby reducing noise. There
More informationPhysical and Biological Properties of Agricultural Products Acoustic, Electrical and Optical Properties and Biochemical Property
Physical and Biological Properties of Agricultural Products Acoustic, Electrical and Optical Properties and Biochemical Property 1. Acoustic and Vibrational Properties 1.1 Acoustics and Vibration Engineering
More informationDynamic Analysis on Vibration Isolation of Hypersonic Vehicle Internal Systems
International Journal of Engineering Research and Technology. ISSN 0974-3154 Volume 6, Number 1 (2013), pp. 55-60 International Research Publication House http://www.irphouse.com Dynamic Analysis on Vibration
More informationModal Analysis: What it is and is not Gerrit Visser
Modal Analysis: What it is and is not Gerrit Visser What is a Modal Analysis? What answers do we get out of it? How is it useful? What does it not tell us? In this article, we ll discuss where a modal
More informationThe student will experimentally determine the parameters to represent the behavior of a damped oscillatory system of one degree of freedom.
Practice 3 NAME STUDENT ID LAB GROUP PROFESSOR INSTRUCTOR Vibrations of systems of one degree of freedom with damping QUIZ 10% PARTICIPATION & PRESENTATION 5% INVESTIGATION 10% DESIGN PROBLEM 15% CALCULATIONS
More informationWORK SHEET FOR MEP311
EXPERIMENT II-1A STUDY OF PRESSURE DISTRIBUTIONS IN LUBRICATING OIL FILMS USING MICHELL TILTING PAD APPARATUS OBJECTIVE To study generation of pressure profile along and across the thick fluid film (converging,
More informationCHAPTER 4 DESIGN AND ANALYSIS OF CANTILEVER BEAM ELECTROSTATIC ACTUATORS
61 CHAPTER 4 DESIGN AND ANALYSIS OF CANTILEVER BEAM ELECTROSTATIC ACTUATORS 4.1 INTRODUCTION The analysis of cantilever beams of small dimensions taking into the effect of fringing fields is studied and
More informationIdentification of crack parameters in a cantilever beam using experimental and wavelet analysis
Identification of crack parameters in a cantilever beam using experimental and wavelet analysis Aniket S. Kamble 1, D. S. Chavan 2 1 PG Student, Mechanical Engineering Department, R.I.T, Islampur, India-415414
More informationLAST TIME: Simple Pendulum:
LAST TIME: Simple Pendulum: The displacement from equilibrium, x is the arclength s = L. s / L x / L Accelerating & Restoring Force in the tangential direction, taking cw as positive initial displacement
More information2 marks Questions and Answers
1. Define the term strain energy. A: Strain Energy of the elastic body is defined as the internal work done by the external load in deforming or straining the body. 2. Define the terms: Resilience and
More informationEF 152 Physics for Engineers II
EF 152 Physics for Engineers II Prof. Will Schleter Prof. Amy Biegalski http://ef.engr.utk.edu/ef152 Physics I Review: Physics II Preview: Vectors, Ratios, Estimation, 1D, 2D Motion Projectile Motion,
More informationDynamics of Machines Prof. Amitabha Ghosh Department of Mechanical Engineering Indian Institute of Technology, Kanpur
Dynamics of Machines Prof. Amitabha Ghosh Department of Mechanical Engineering Indian Institute of Technology, Kanpur Module - 3 Lecture - 3 Balancing Machines and Field Balancing of Rotating Discs We
More informationMODELLING OF VIBRATION WITH ABSORBER
Journal of Machine Engineering, Vol. 10, No.4, 2010 mumerical modelling, Simulink, vibration, machine, absorber Jiří VONDŘICH 1 Evžen THÖNDE 1 Slavomír JIRKŮ 1 MODEING OF VIBRATION WITH ABSORBER Machine
More informationSimple Harmonic Motion ===============================================
PHYS 1105 Last edit: May 25, 2017 SMU Physics Dept. Simple Harmonic Motion =============================================== Goal To determine the spring constant k and effective mass m eff of a real spring.
More informationLectures Chapter 10 (Cutnell & Johnson, Physics 7 th edition)
PH 201-4A spring 2007 Simple Harmonic Motion Lectures 24-25 Chapter 10 (Cutnell & Johnson, Physics 7 th edition) 1 The Ideal Spring Springs are objects that exhibit elastic behavior. It will return back
More informationGeneral Physics I. Lecture 12: Applications of Oscillatory Motion. Prof. WAN, Xin ( 万歆 )
General Physics I Lecture 1: Applications of Oscillatory Motion Prof. WAN, Xin ( 万歆 ) inwan@zju.edu.cn http://zimp.zju.edu.cn/~inwan/ Outline The pendulum Comparing simple harmonic motion and uniform circular
More information9 MECHANICAL PROPERTIES OF SOLIDS
9 MECHANICAL PROPERTIES OF SOLIDS Deforming force Deforming force is the force which changes the shape or size of a body. Restoring force Restoring force is the internal force developed inside the body
More informationPhysics 2001/2051 The Compound Pendulum Experiment 4 and Helical Springs
PY001/051 Compound Pendulum and Helical Springs Experiment 4 Physics 001/051 The Compound Pendulum Experiment 4 and Helical Springs Prelab 1 Read the following background/setup and ensure you are familiar
More informationLEP Coupled pendula
1.3.5 Related topics Spiral spring, gravity pendulum, spring constant, torsional vibration, torque, beat, angular velocity, angular acceleration, characteristic frequency. Principle and task Two equal
More informationSTRUCTURAL DYNAMICS BASICS:
BASICS: STRUCTURAL DYNAMICS Real-life structures are subjected to loads which vary with time Except self weight of the structure, all other loads vary with time In many cases, this variation of the load
More informationUnit 2: Simple Harmonic Motion (SHM)
Unit 2: Simple Harmonic Motion (SHM) THE MOST COMMON FORM OF MOTION FALL 2015 Objectives: Define SHM specifically and give an example. Write and apply formulas for finding the frequency f, period T, w
More informationOverview. Sensors? Commonly Detectable Phenomenon Physical Principles How Sensors Work? Need for Sensors Choosing a Sensor Examples
Intro to Sensors Overview Sensors? Commonly Detectable Phenomenon Physical Principles How Sensors Work? Need for Sensors Choosing a Sensor Examples Sensors? American National Standards Institute A device
More informationMV Module 5 Solution. Module 5
Module 5 Q68. With a neat diagram explain working principle of a vibrometer. D-14-Q5 (a)-10m Ans: A vibrometer or a seismometer is an instrument that measures the displacement of a vibrating body. It can
More informationTOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations:
TOPIC E: OSCILLATIONS EXAMPLES SPRING 2019 Mathematics of Oscillating Systems Q1. Find general solutions for the following differential equations: Undamped Free Vibration Q2. A 4 g mass is suspended by
More informationStructural Dynamics. Spring mass system. The spring force is given by and F(t) is the driving force. Start by applying Newton s second law (F=ma).
Structural Dynamics Spring mass system. The spring force is given by and F(t) is the driving force. Start by applying Newton s second law (F=ma). We will now look at free vibrations. Considering the free
More informationD : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown.
D : SOLID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. Q.2 Consider the forces of magnitude F acting on the sides of the regular hexagon having
More informationLaboratory notes. Torsional Vibration Absorber
Titurus, Marsico & Wagg Torsional Vibration Absorber UoB/1-11, v1. Laboratory notes Torsional Vibration Absorber Contents 1 Objectives... Apparatus... 3 Theory... 3 3.1 Background information... 3 3. Undamped
More informationChapter 14: Periodic motion
Chapter 14: Periodic motion Describing oscillations Simple harmonic motion Energy of simple harmonic motion Applications of simple harmonic motion Simple pendulum & physical pendulum Damped oscillations
More informationSilicon Capacitive Accelerometers. Ulf Meriheinä M.Sc. (Eng.) Business Development Manager VTI TECHNOLOGIES
Silicon Capacitive Accelerometers Ulf Meriheinä M.Sc. (Eng.) Business Development Manager VTI TECHNOLOGIES 1 Measuring Acceleration The acceleration measurement is based on Newton s 2nd law: Let the acceleration
More information