8434_Harris_02_b.qxd 09/20/2001 11:37 AM Page 2.1 CHAPTER 2 BASIC VIBRATION THEORY Ralph E. Blake INTRODUCTION This chapter presents the theory of free and forced steady-state vibration of single degree-of-freedom systems. Undamped systems and systems having viscous damping and structural damping are included. Multiple degree-of-freedom systems are discussed‚ including the normal-mode theory of linear elastic structures and Lagrange’s equations. ELEMENTARY PARTS OF VIBRATORY SYSTEMS
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VIBRATION MEASUREMENT In some practical situations‚ it might be difficult to develop a mathematical model of the system and predict its vibration characteristics through an analytical study. In such cases‚ we can use experimental methods to measure the vibration response of the system to a known input. This helps in identifying the system in terms of its mass‚ stiffness‚ and damping. In practice the measurement of vibration becomes necessary for the following reasons: 1. The increasing demands
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VIBRATION ANALYSIS FOR ELECTRONIC EQUIPMENT THIRD EDITION Dave S. Steinberg Steinberg & Associates and University of California‚ Los Angeles A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS‚ INC. New York Chichester Weinheim Brisbane Singapore Toronto This book is printed on acid-free paper. @ Copyright G2000 by John Wiley & Sons‚ Inc. All rights reserved. Published simultaneously in Canada. No part of this publication may be reproduced‚ stored in a retrieval system or transmitted
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CLASSIFICATION OF VIBRATION Vibration can be classified in several ways. Some of the important classifications are as follows. • Free Vibration. If a system‚ after an initial disturbance‚ is left to vibrate on its own‚ the ensuing vibration is known as free vibration. No external force acts on the system. The oscillation of a simple pendulum is an example of free vibration. • Forced Vibration. If a system is subjected to an external force (often‚ a repeating type of force)‚ the resulting vibration is known
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............................................ 1.1 Background............................................................................ 1.2 Brief History of Vibration..................................................... 1.3 Basic Concept of Mechanical Vibration................................ 1.4 The importance of Mechanical Vibration.............................. 1.5 Rotordynamics....................................................................... 1.6 Structure Monitoring system.......
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Chapter 2 Basics of Vibration Dynamics Vibrations are mechanical oscillations about an equilibrium position. There are cases when vibrations are desirable‚ such as in certain types of machine tools or production lines. Most of the time‚ however‚ the vibration of mechanical systems is undesirable as it wastes energy‚ reduces efficiency and may be harmful or even dangerous. For example‚ passenger ride comfort in aircraft or automobiles is greatly affected by the vibrations caused by outside disturbances
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system. INTRODUCTION Vibration is the periodic motion of a body or system of connected bodies displaced from a position of equilibrium. It is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The oscillations may be periodic or random. Free vibration occurs when a mechanical system is set off with an initial input and then allowed to vibrate freely. If there is no external force applied on the system‚ the system will experience free vibration. Motion of the system will
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into horizontal circular vibration‚ vertical vibration and shimmy vibration and additional vibration caused by the rolling and pressing of moving cone. In these vibrations‚ the horizontal circular vibration is the main forms‚ and other directions vibration is relatively small. So we will analysis the situations of horizontal circular vibration in the following. The body of inertia cone crusher is located in the vibration isolation system. Set the shear elastic of vibration isolation system as K. the
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MEEM 3700 Mechanical Vibrations Mohan Rao Chuck Van Karsen Mechanical Engineering-Engineering Mechanics Michigan Technological University Copyright 2003 MEEM 3700 Lecture 1-Introduction 1 No Forces No Motion Forces Motion MEEM 3700 Lecture 1-Introduction 2 1 Force Linear Non-Linear Arbitrary motion Harmonic Motion Motion Mechanical Vibrations Sound (Acoustics) MEEM 3700 Lecture 1-Introduction 3 Dynamics and Kinematics (MEEM 2700) Strength of Materials (MEEM
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devices can consume energy with different orders of magnitude from microwatts to several watts‚ as shown in Table 2. b. Identify how the mechanical vibration is induced (20 %) 2.3.1 Characterization of vibration system for motion harvesting Displacement driven generators are typically inertial mechanism-based‚ second-order vibration systems excited by periodical human body movement of the legs‚ limbs or feet. Ideally‚ these systems can be described as spring-mass systems ‚ as shown
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