ReviewsThe need that this (book) addresses is, in my opinion, a fresh and constant look at high performance systems where nonlinear phenomena are important and become more and more critical in many engineering applications., The book explores new advances in vibration technology, and at the same time keeps the traditional values of vibration theories. The integration of standard course materials with computer software will prepare the student to adapt to recent dramatic changes in the engineering computing environment, and allow the student to get access to the physics of more complicated or more practical problems, and not to just limit himself/herself to the few classroom examples.
Dewey Edition21
IllustratedYes
Dewey Decimal620.30151
Table Of Content1. INTRODUCTION. Introduction. Preliminaries from Dynamics. Summary. 2. MODELING OF VIBRATORY SYSTEMS. Introduction. Inertia Elements. Stiffness Elements. Dissipation Elements. Model Construction. Summary. 3. SINGLE DEGREE-OF-FREEDOM SYSTEMS: GOVERNING EQUATION. Introduction. Force-Balance and Moment-Balance Methods. Natural Frequency and Damping Factor. Governing Equations for Different Types of Damping. Governing Equations for Different Types of Applied Forces and Moments. Lagrange's Equations. Summary. 4. SINGLE DEGREE-OF-FREEDOM SYSTEM: SOLUTION FOR RESPONSE AND FREE-RESPONSE CHARACTERISTICS. Introduction. General Solution. Free Responses of Undamped and Damped Systems. Stability of Single Degree-of-Freedom System. Machine Tool Chatter. Single Degree-of-Freedom Systems with Nonlinear Elements. Summary. 5. SINGLE DEGREE-OF-FREEDOM SYSTEMS SUBJECTED TO PERIODIC EXCITATIONS. Introduction. Response to Harmonic Excitation. Frequency-Response Function. Systems with Rotating Unbalanced Mass. System with Base Excitation. Acceleration Measurement: Accelerometer. Vibration Isolation. Energy Dissipation and Equivalent Damping. Response to Periodic Excitation. Influence of Nonlinear Spring on Forced Response. Summary. 6. SINGLE DEGREE-OF-FREEDOM SYSTEMS SUBJECTED TO TRANSIENT FORCES. Introduction. Response to Impulse Excitation. Response to Step Input. Response to Ramp Input. Spectral Energy of the Response. Response to Rectangular Pulse Excitation. Response to Half-Sine Wave Pulse. Summary. 7. MULTIPLE DEGREE-OF-FREEDOM SYSTEMS: GOVERNING EQUATIONS AND CHARACTERISTICS OF FREE OSCILLATIONS. Introduction. Governing Equations. Free Oscillations. Stability. Summary. 8. MULTIPLE DEGREE-OF-FREEDOM SYSTEMS: GENERAL SOLUTION FOR RESPONSE AND FORCED OSCILLATIONS. Introduction. Normal-Mode Approach. State-Space Formulation. Laplace Transform Approach. Transfer Functions and Frequency-Response Functions. Vibration Absorbers. Vibration Isolation: Transmissibility Ratio. Systems with Moving Base. Summary. 9. VIBRATION OF BEAMS. Introduction. Governing Equations of Motion. Free Oscillations. Forced Oscillations. Summary. APPENDICES. Laplace Transform Pairs. Fourier Series. The Decibel. Direct Methods to Determine Response to Harmonic Excitation. Matrices.
SynopsisFeaturing outstanding coverage of linear and non-linear single degree-of-freedom and multi-degree-of-freedom systems, this book teaches the use of vibration principles in a broad spectrum of applications. In this introduction for undergraduate students, authors Balakumar Balachandran and Edward B. Magrab present vibration principles in a general context and illustrate the use of these principles through carefully chosen examples from different disciplines. Their balanced approach integrates principles of linear and nonlinear vibrations with modeling, analysis, prediction, and measurement so that physical understanding of the vibratory phenomena and their relevance for engineering design can be emphasized. The authors also provide design guidelines that are applicable to a wide range of vibratory systems.