Module 4: Dynamic Vibration Absorbers and Vibration Isolator Lecture 19: Active DVA. The Lecture Contains: Development of an Active DVA
|
|
- Kellie Newman
- 5 years ago
- Views:
Transcription
1 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/ :35:51 PM]
2 In this section, we will consider the development of an active dynamic vibration absorber. It may be noted that Passive Neutralizer eliminates primary response only at a particular frequency. Use of active element - for example, a hydraulic actuator would increase the advantage of tuned mass damping for a broad frequency range. Figure 19.1: Active dynamic vibration absorber Let us consider the new model as shown in Fig Here, denotes the primary mass and the primary stiffness. The damping of the primary system is neglected. The system is subjected to a harmonic excitation. The primary system is attached to a secondary system of fixed mass and stiffness and respectively. However, there is an additional spring element with variable stiffness ' ' representative of a hydraulic actuator. file:///d /chitra/vibration_upload/lecture19/19_2.html[6/25/ :35:51 PM]
3 The governing EOM of the two DOF system may be written as (19.1) (19.2) Using from Equation 19.2 we get or or (19.3) Similarly, from Equation 19.1, we get or, or Thus, when the hydraulic actuator is switched on the active displacement of the primary mass be written as: may When the hydraulic system is switched off, the passive displacement of the primary mass written as may be file:///d /chitra/vibration_upload/lecture19/19_3.html[6/25/ :35:51 PM]
4 The ratio of active and passive displacement of the primary mass brings out the efficiency of the new system. Therefore, For a simple case, use As a test case, for and for From these expressions, you can check that the negetive feedback system with better for a wider frequency range. works file:///d /chitra/vibration_upload/lecture19/19_3.html[6/25/ :35:51 PM]
5 = Active DVA Now, we will consider another active DVA commonly known as proof mass actuator. The basic system is described in Fig Figure 19.2: Proof mass actuator A proof mass m p is connected to a magnetic base with spring k and damper c. The proof mass is placed over a solenoid in which magnetic field could be generated by passing current through coils. The resistance of the coil is R, inductance L, current passing through the coil is i and the proportionality constant corresponding to back EMF is k b. The EOM are provided below. Governing equation for electric system (19.4) Governing equation for mechanical system (19.5) where k a is the current constant Converting Equation 19.4 into frequency domain, (19.6) Similarly, from 19.5 Using Equation 19.6 we get file:///d /chitra/vibration_upload/lecture19/19_4.html[6/25/ :35:51 PM]
6 Denoting, (19.7) Also, force exerted by the proof mass actuator on the base is, therefore,. Using Equation 19.7 (19.8) This relationship tells us how force F will be generated by the proof mass accelerator upon application of voltage. file:///d /chitra/vibration_upload/lecture19/19_4.html[6/25/ :35:51 PM]
7 Application of active DVA Consider a SDOF system (undamped, mass m 1 ) subjected to base excitation. The equation of motion may be written as Figure 19.3: SDOF subjected to base excitation (19.9) Transforming into frequency domain this becomes Therefore, (19.10) Plugging the output of the Active DVA into the system and using Equation 19.8, we get the new displacement of m 1 as (19.11) file:///d /chitra/vibration_upload/lecture19/19_5.html[6/25/ :35:51 PM]
8 A Special case: When, is constant, One can show a wide band amplitude reduction of the primary mass (X 1 ) by suitably choosing k a and k b in equation (19.11) Numerical exercise: Consider,,, Find out the Transfer function and plot. file:///d /chitra/vibration_upload/lecture19/19_6.html[6/25/ :35:52 PM]
Introduction 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 informationLinear Second-Order Differential Equations LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
11.11 LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS A Spring with Friction: Damped Oscillations The differential equation, which we used to describe the motion of a spring, disregards friction. But there
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 informationChapter 23 Magnetic Flux and Faraday s Law of Induction
Chapter 23 Magnetic Flux and Faraday s Law of Induction 1 Overview of Chapter 23 Induced Electromotive Force Magnetic Flux Faraday s Law of Induction Lenz s Law Mechanical Work and Electrical Energy Generators
More informationSection 3.7: Mechanical and Electrical Vibrations
Section 3.7: Mechanical and Electrical Vibrations Second order linear equations with constant coefficients serve as mathematical models for mechanical and electrical oscillations. For example, the motion
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 informationMOOC QP Set 2 Principles of Vibration Control
Section I Section II Section III MOOC QP Set 2 Principles of Vibration Control (TOTAL = 100 marks) : 20 questions x 1 mark/question = 20 marks : 20 questions x 2 marks/question = 40 marks : 8 questions
More informationIndex. Index. More information. in this web service Cambridge University Press
A-type elements, 4 7, 18, 31, 168, 198, 202, 219, 220, 222, 225 A-type variables. See Across variable ac current, 172, 251 ac induction motor, 251 Acceleration rotational, 30 translational, 16 Accumulator,
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 informationApplications of Second-Order Differential Equations
Applications of Second-Order Differential Equations ymy/013 Building Intuition Even though there are an infinite number of differential equations, they all share common characteristics that allow intuition
More informationTranslational Mechanical Systems
Translational Mechanical Systems Basic (Idealized) Modeling Elements Interconnection Relationships -Physical Laws Derive Equation of Motion (EOM) - SDOF Energy Transfer Series and Parallel Connections
More informationIntroduction to Vibration. Professor Mike Brennan
Introduction to Vibration Professor Mie Brennan Introduction to Vibration Nature of vibration of mechanical systems Free and forced vibrations Frequency response functions Fundamentals For free vibration
More informationModeling of Electrical Elements
Modeling of Electrical Elements Dr. Bishakh Bhattacharya Professor, Department of Mechanical Engineering IIT Kanpur Joint Initiative of IITs and IISc - Funded by MHRD This Lecture Contains Modeling of
More informationTuning TMDs to Fix Floors in MDOF Shear Buildings
Tuning TMDs to Fix Floors in MDOF Shear Buildings This is a paper I wrote in my first year of graduate school at Duke University. It applied the TMD tuning methodology I developed in my undergraduate research
More informationDynamics of Ocean Structures Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras
Dynamics of Ocean Structures Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras Module - 1 Lecture - 10 Methods of Writing Equation of Motion (Refer
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 informatione jωt = cos(ωt) + jsin(ωt),
This chapter introduces you to the most useful mechanical oscillator model, a mass-spring system with a single degree of freedom. Basic understanding of this system is the gateway to the understanding
More information1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction
1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction Lesson Objectives: 1) List examples of MDOF structural systems and state assumptions of the idealizations. 2) Formulate the equation of motion
More information2.4 Models of Oscillation
2.4 Models of Oscillation In this section we give three examples of oscillating physical systems that can be modeled by the harmonic oscillator equation. Such models are ubiquitous in physics, but are
More informationLECTURE 14: DEVELOPING THE EQUATIONS OF MOTION FOR TWO-MASS VIBRATION EXAMPLES
LECTURE 14: DEVELOPING THE EQUATIONS OF MOTION FOR TWO-MASS VIBRATION EXAMPLES Figure 3.47 a. Two-mass, linear vibration system with spring connections. b. Free-body diagrams. c. Alternative free-body
More informationCE 6701 Structural Dynamics and Earthquake Engineering Dr. P. Venkateswara Rao
CE 6701 Structural Dynamics and Earthquake Engineering Dr. P. Venkateswara Rao Associate Professor Dept. of Civil Engineering SVCE, Sriperumbudur Difference between static loading and dynamic loading Degree
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 informationIn this lecture you will learn the following
Module 9 : Forced Vibration with Harmonic Excitation; Undamped Systems and resonance; Viscously Damped Systems; Frequency Response Characteristics and Phase Lag; Systems with Base Excitation; Transmissibility
More informationChapter 5 Design. D. J. Inman 1/51 Mechanical Engineering at Virginia Tech
Chapter 5 Design Acceptable vibration levels (ISO) Vibration isolation Vibration absorbers Effects of damping in absorbers Optimization Viscoelastic damping treatments Critical Speeds Design for vibration
More informationMeasurement Techniques for Engineers. Motion and Vibration Measurement
Measurement Techniques for Engineers Motion and Vibration Measurement Introduction Quantities that may need to be measured are velocity, acceleration and vibration amplitude Quantities useful in predicting
More informationAdvanced Vibrations. Elements of Analytical Dynamics. By: H. Ahmadian Lecture One
Advanced Vibrations Lecture One Elements of Analytical Dynamics By: H. Ahmadian ahmadian@iust.ac.ir Elements of Analytical Dynamics Newton's laws were formulated for a single particle Can be extended to
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 information2.4 Harmonic Oscillator Models
2.4 Harmonic Oscillator Models In this section we give three important examples from physics of harmonic oscillator models. Such models are ubiquitous in physics, but are also used in chemistry, biology,
More informationInductors Maxwell s equations
Lecture 19 Chapter 34 Physics II Inductors Maxwell s equations Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Inductors Inductors (solenoids) store potential energy in a form
More informationStochastic Dynamics of SDOF Systems (cont.).
Outline of Stochastic Dynamics of SDOF Systems (cont.). Weakly Stationary Response Processes. Equivalent White Noise Approximations. Gaussian Response Processes as Conditional Normal Distributions. Stochastic
More information557. Radial correction controllers of gyroscopic stabilizer
557. Radial correction controllers of gyroscopic stabilizer M. Sivčák 1, J. Škoda, Technical University in Liberec, Studentská, Liberec, Czech Republic e-mail: 1 michal.sivcak@tul.cz; jan.skoda@pevnosti.cz
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 informationNAME: PHYSICS 6B SPRING 2011 FINAL EXAM ( VERSION A )
NAME: PHYSCS 6B SPRNG 2011 FNAL EXAM ( VERSON A ) Choose the best answer for each of the following multiple-choice questions. There is only one answer for each. Questions 1-2 are based on the following
More information10 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 informationElctromagnetic hammer with impact
Elctromagnetic hammer with impact There are many technical systems that are based on the principles of construction of an Electromagnetic hammer with impact. The Figure shown 4.42 shows the sketch of such
More informationSlide 1 / 26. Inductance by Bryan Pflueger
Slide 1 / 26 Inductance 2011 by Bryan Pflueger Slide 2 / 26 Mutual Inductance If two coils of wire are placed near each other and have a current passing through them, they will each induce an emf on one
More informationLab 11 - Free, Damped, and Forced Oscillations
Lab 11 Free, Damped, and Forced Oscillations L11-1 Name Date Partners Lab 11 - Free, Damped, and Forced Oscillations OBJECTIVES To understand the free oscillations of a mass and spring. To understand how
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 information4.9 Free Mechanical Vibrations
4.9 Free Mechanical Vibrations Spring-Mass Oscillator When the spring is not stretched and the mass m is at rest, the system is at equilibrium. Forces Acting in the System When the mass m is displaced
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 informationThe GENESIS Project FIELD OF NEGATIVE ENERGY INTRODUCTION
The GENESIS Project REVISED Edition INTRODUCTION Existing physics tells us that fading oxilations faces the same direction as time-flow. To prevent fading radically, we have to find a time-flow formulation
More informationComparison between the visco-elastic dampers And Magnetorheological dampers and study the Effect of temperature on the damping properties
Comparison between the visco-elastic dampers And Magnetorheological dampers and study the Effect of temperature on the damping properties A.Q. Bhatti National University of Sciences and Technology (NUST),
More informationChapter 32. Inductance
Chapter 32 Inductance Joseph Henry 1797 1878 American physicist First director of the Smithsonian Improved design of electromagnet Constructed one of the first motors Discovered self-inductance Unit of
More informationMEG6007: Advanced Dynamics -Principles and Computational Methods (Fall, 2017) Lecture DOF Modeling of Shock Absorbers. This lecture covers:
MEG6007: Advanced Dynamics -Principles and Computational Methods (Fall, 207) Lecture 4. 2-DOF Modeling of Shock Absorbers This lecture covers: Revisit 2-DOF Spring-Mass System Understand the den Hartog
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 informationSuppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber
Suppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber J.C. Ji, N. Zhang Faculty of Engineering, University of Technology, Sydney PO Box, Broadway,
More informationEnergy balance in self-powered MR damper-based vibration reduction system
BULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES, Vol. 59, No. 1, 2011 DOI: 10.2478/v10175-011-0011-4 Varia Energy balance in self-powered MR damper-based vibration reduction system J. SNAMINA
More informationDesign and Analysis of a Simple Nonlinear Vibration Absorber
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 78-1684,p-ISSN: 30-334X, Volume 11, Issue Ver. VI (Mar- Apr. 014), PP 84-90 Design and Analysis of a Simple Nonlinear Vibration Absorber
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 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 informationDynamics of Ocean Structures Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras
Dynamics of Ocean Structures Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras Module - 01 Lecture - 09 Characteristics of Single Degree - of -
More informationSelf-inductance A time-varying current in a circuit produces an induced emf opposing the emf that initially set up the time-varying current.
Inductance Self-inductance A time-varying current in a circuit produces an induced emf opposing the emf that initially set up the time-varying current. Basis of the electrical circuit element called an
More information2. Materials and Methods The main function of the Tuneable Dynamic Vibration Absorber is to damp the undesirable vibration on the system
Avestia Publishing 80 International Journal of Mechanical Engineering and Mechatronics Volume 1, Issue 1, Year 2012 Journal ISSN: 1929-2724 Article ID: 010, DOI: 10.11159/ijmem.2012.010 Developing a New
More informationVTU-NPTEL-NMEICT Project
VTU-NPTEL-NMEICT Project Progress Report The Project on Development of Remaining Three Quadrants to NPTEL Phase-I under grant in aid NMEICT, MHRD, New Delhi SME Name : Course Name: Type of the Course Module
More informationElectromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance
Lesson 7 Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance Oscillations in an LC Circuit The RLC Circuit Alternating Current Electromagnetic
More informationHandout 10: Inductance. Self-Inductance and inductors
1 Handout 10: Inductance Self-Inductance and inductors In Fig. 1, electric current is present in an isolate circuit, setting up magnetic field that causes a magnetic flux through the circuit itself. This
More informationPhysics 6B Summer 2007 Final
Physics 6B Summer 2007 Final Question 1 An electron passes through two rectangular regions that contain uniform magnetic fields, B 1 and B 2. The field B 1 is stronger than the field B 2. Each field fills
More informationVibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee
Vibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee Module - 1 Review of Basics of Mechanical Vibrations Lecture - 2 Introduction
More informationMATHEMATICAL MODEL OF DYNAMIC VIBRATION ABSORBER-RESPONSE PREDICTION AND REDUCTION
ANNALS of Faculty Engineering Hunedoara International Journal of Engineering Tome XIV [2016] Fascicule 1 [February] ISSN: 1584-2665 [print; online] ISSN: 1584-2673 [CD-Rom; online] a free-access multidisciplinary
More informationModule 6: Smart Materials & Smart Structural Control Lecture 33: Piezoelectric & Magnetostrictive Sensors and Actuators. The Lecture Contains:
The Lecture Contains: Piezoelectric Sensors and Actuators Magnetostrictive Sensors and Actuators file:///d /chitra/vibration_upload/lecture33/33_1.htm[6/25/2012 12:42:09 PM] Piezoelectric Sensors and Actuators
More informationStructural Dynamics Lecture 4. Outline of Lecture 4. Multi-Degree-of-Freedom Systems. Formulation of Equations of Motions. Undamped Eigenvibrations.
Outline of Multi-Degree-of-Freedom Systems Formulation of Equations of Motions. Newton s 2 nd Law Applied to Free Masses. D Alembert s Principle. Basic Equations of Motion for Forced Vibrations of Linear
More informationLecture 39. PHYC 161 Fall 2016
Lecture 39 PHYC 161 Fall 016 Announcements DO THE ONLINE COURSE EVALUATIONS - response so far is < 8 % Magnetic field energy A resistor is a device in which energy is irrecoverably dissipated. By contrast,
More informationCh 3.7: Mechanical & Electrical Vibrations
Ch 3.7: Mechanical & Electrical Vibrations Two important areas of application for second order linear equations with constant coefficients are in modeling mechanical and electrical oscillations. We will
More informationLECTURE 12. STEADY-STATE RESPONSE DUE TO ROTATING IMBALANCE
LECTURE 12. STEADY-STATE RESPONSE DUE TO ROTATING IMBALANCE Figure 3.18 (a) Imbalanced motor with mass supported by a housing mass m, (b) Freebody diagram for, The product is called the imbalance vector.
More informationSection 2.2 : Electromechanical. analogies PHILIPE HERZOG AND GUILLAUME PENELET
Section 2.2 : Electromechanical analogies PHILIPE HERZOG AND GUILLAUME PENELET Paternité - Pas d'utilisation Commerciale - Partage des Conditions Initiales à l'identique : http://creativecommons.org/licenses/by-nc-sa/2.0/fr/
More informationLecture Module 5: Introduction to Attitude Stabilization and Control
1 Lecture Module 5: Introduction to Attitude Stabilization and Control Lectures 1-3 Stability is referred to as a system s behaviour to external/internal disturbances (small) in/from equilibrium states.
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 informationME 563 HOMEWORK # 7 SOLUTIONS Fall 2010
ME 563 HOMEWORK # 7 SOLUTIONS Fall 2010 PROBLEM 1: Given the mass matrix and two undamped natural frequencies for a general two degree-of-freedom system with a symmetric stiffness matrix, find the stiffness
More informationCh. 23 Electromagnetic Induction, AC Circuits, And Electrical Technologies
Ch. 23 Electromagnetic Induction, AC Circuits, And Electrical Technologies Induced emf - Faraday s Experiment When a magnet moves toward a loop of wire, the ammeter shows the presence of a current When
More information1 2 U CV. K dq I dt J nqv d J V IR P VI
o 5 o T C T F 3 9 T K T o C 73.5 L L T V VT Q mct nct Q F V ml F V dq A H k TH TC L pv nrt 3 Ktr nrt 3 CV R ideal monatomic gas 5 CV R ideal diatomic gas w/o vibration V W pdv V U Q W W Q e Q Q e Carnot
More informationUniversity of California at Berkeley Structural Engineering Mechanics & Materials Department of Civil & Environmental Engineering Spring 2012 Student name : Doctoral Preliminary Examination in Dynamics
More informationChapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.
Chapter 14 Oscillations 14-1 Oscillations of a Spring If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The
More informationPhysics General Physics. Lecture 24 Oscillating Systems. Fall 2016 Semester Prof. Matthew Jones
Physics 22000 General Physics Lecture 24 Oscillating Systems Fall 2016 Semester Prof. Matthew Jones 1 2 Oscillating Motion We have studied linear motion objects moving in straight lines at either constant
More informationSprings Old Exam Questions
Springs Old Exam Questions Q1. A spring has a stiffness of 15 Nm 1. Calculate the extension of the spring when a weight of 8.0 N is suspended on it. Give your answer in metres. extension of spring... m
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 informationMAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194
MAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194 Question 1 (a) List three sources of heat in soldering (b) state the functions of flux in soldering (c) briefly describe with aid of diagram
More informationInductance. Slide 2 / 26. Slide 1 / 26. Slide 4 / 26. Slide 3 / 26. Slide 6 / 26. Slide 5 / 26. Mutual Inductance. Mutual Inductance.
Slide 1 / 26 Inductance 2011 by Bryan Pflueger Slide 2 / 26 Mutual Inductance If two coils of wire are placed near each other and have a current passing through them, they will each induce an emf on one
More informationFail-safe semi-active dynamic vibration absorber design
Fail-safe semi-active dynamic vibration absorber design Huijbers, J.H.H. Published: 01/01/2006 Document Version Publisher s PDF, also known as Version of Record (includes final page, issue and volume numbers)
More informationAC Circuits III. Physics 2415 Lecture 24. Michael Fowler, UVa
AC Circuits III Physics 415 Lecture 4 Michael Fowler, UVa Today s Topics LC circuits: analogy with mass on spring LCR circuits: damped oscillations LCR circuits with ac source: driven pendulum, resonance.
More informationg E. An object whose weight on 6 Earth is 5.0 N is dropped from rest above the Moon s surface. What is its momentum after falling for 3.0s?
PhysicsndMathsTutor.com 1 1. Take the acceleration due to gravity, g E, as 10 m s on the surface of the Earth. The acceleration due to gravity on the surface of the Moon is g E. n object whose weight on
More informationChapter 14 Oscillations
Chapter 14 Oscillations If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system is a
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 informationRESPONSE SPECTRUM METHOD FOR ESTIMATION OF PEAK FLOOR ACCELERATION DEMAND
RESPONSE SPECTRUM METHOD FOR ESTIMATION OF PEAK FLOOR ACCELERATION DEMAND Shahram Taghavi 1 and Eduardo Miranda 2 1 Senior catastrophe risk modeler, Risk Management Solutions, CA, USA 2 Associate Professor,
More information2.003 Engineering Dynamics Problem Set 10 with answer to the concept questions
.003 Engineering Dynamics Problem Set 10 with answer to the concept questions Problem 1 Figure 1. Cart with a slender rod A slender rod of length l (m) and mass m (0.5kg)is attached by a frictionless pivot
More informationE11 Lecture 13: Motors. Professor Lape Fall 2010
E11 Lecture 13: Motors Professor Lape Fall 2010 Overview How do electric motors work? Electric motor types and general principles of operation How well does your motor perform? Torque and power output
More informationThe dimensions of an object tend to change when forces are
L A B 8 STRETCHING A SPRING Hooke s Law The dimensions of an object tend to change when forces are applied to the object. For example, when opposite forces are applied to both ends of a spring, the spring
More informationChapter 30. Inductance. PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow
Chapter 30 Inductance PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Learning Goals for Chapter 30 Looking forward at how a time-varying
More informationLecture 35. PHYC 161 Fall 2016
Lecture 35 PHYC 161 Fall 2016 Induced electric fields A long, thin solenoid is encircled by a circular conducting loop. Electric field in the loop is what must drive the current. When the solenoid current
More information666. Controllable vibro-protective system for the driver seat of a multi-axis vehicle
666. Controllable vibro-protective system for the driver seat of a multi-axis vehicle A. Bubulis 1, G. Reizina, E. Korobko 3, V. Bilyk 3, V. Efremov 4 1 Kaunas University of Technology, Kęstučio 7, LT-4431,
More informationMechanical and Acoustical Resonators
Lab 11 Mechanical and Acoustical Resonators In this lab, you will see how the concept of AC impedance can be applied to sinusoidally-driven mechanical and acoustical systems. 11.1 Mechanical Oscillator
More informationMulti Degrees of Freedom Systems
Multi Degrees of Freedom Systems MDOF s http://intranet.dica.polimi.it/people/boffi-giacomo Dipartimento di Ingegneria Civile Ambientale e Territoriale Politecnico di Milano March 9, 07 Outline, a System
More informationa) Find the equation of motion of the system and write it in matrix form.
.003 Engineering Dynamics Problem Set Problem : Torsional Oscillator Two disks of radius r and r and mass m and m are mounted in series with steel shafts. The shaft between the base and m has length L
More informationDevelopment of an MRE adaptive tuned vibration absorber with self-sensing capability
University of Wollongong Research Online Faculty of Engineering and Information Sciences - Papers: Part A Faculty of Engineering and Information Sciences 2015 Development of an MRE adaptive tuned vibration
More informationIntroduction to Continuous Systems. Continuous Systems. Strings, Torsional Rods and Beams.
Outline of Continuous Systems. Introduction to Continuous Systems. Continuous Systems. Strings, Torsional Rods and Beams. Vibrations of Flexible Strings. Torsional Vibration of Rods. Bernoulli-Euler Beams.
More information1 Fig. 3.1 shows the variation of the magnetic flux linkage with time t for a small generator. magnetic. flux linkage / Wb-turns 1.
1 Fig. 3.1 shows the variation of the magnetic flux linkage with time t for a small generator. 2 magnetic 1 flux linkage / 0 10 2 Wb-turns 1 2 5 10 15 t / 10 3 s Fig. 3.1 The generator has a flat coil
More informationPreliminary Examination - Dynamics
Name: University of California, Berkeley Fall Semester, 2018 Problem 1 (30% weight) Preliminary Examination - Dynamics An undamped SDOF system with mass m and stiffness k is initially at rest and is then
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 informationME 563 Mechanical Vibrations Lecture #1. Derivation of equations of motion (Newton-Euler Laws)
ME 563 Mechanical Vibrations Lecture #1 Derivation of equations of motion (Newton-Euler Laws) Derivation of Equation of Motion 1 Define the vibrations of interest - Degrees of freedom (translational, rotational,
More informationDifferential Equations
Differential Equations A differential equation (DE) is an equation which involves an unknown function f (x) as well as some of its derivatives. To solve a differential equation means to find the unknown
More informationChapter 30 Inductance and Electromagnetic Oscillations
Chapter 30 Inductance and Electromagnetic Oscillations Units of Chapter 30 30.1 Mutual Inductance: 1 30.2 Self-Inductance: 2, 3, & 4 30.3 Energy Stored in a Magnetic Field: 5, 6, & 7 30.4 LR Circuit: 8,
More information