Featuring 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. MATLAB is thoroughly integrated throughout the text.
目录
Chapter 1: Introduction 1.1 Introduction1.2 Preliminaries from Dynamics1.3 SummaryExercisesChapter 2: Modeling of Vibratory Systems 2.1 Introduction2.2 Inertia Elements2.3 Stiffness Elements2.4 Dissipation Elements2.5 Model Construction2.6 Design for Vibration 2.7 SummaryExercisesChapter 3: Single Degree-of-Freedom Systems: Governing Equations 3.1 Introduction3.2 Force-Balance and Moment-Balance Methods3.3 Natural Frequency and Damping Factor3.4 Governing Equations for Different Types of Damping3.5 Governing Equations for Different Types of Applied Forces3.6 Lagrange's Equations3.7 SummaryExercisesChapter 4: Single Degree-of-Freedom System: Solution for Response and Free-Response Characteristics 4.1 Introduction4.2 Free Responses of Undamped and Damped Systems4.3 Stability of Single Degree-of-Freedom System4.4 Machine Tool Chatter4.5 Single Degree-of-Freedom Systems with Nonlinear Elements4.6 SummaryExercisesChapter 5: Single Degree-of-Freedom Systems Subjected to Periodic Excitations 5.1 Introduction5.2 Response to Harmonic Excitation5.3 Frequency-Response Function5.4 Systems with Rotating Unbalanced Mass5.5 Systems with Base Excitation5.6 Acceleration Measurement: Accelerometer5.7 Vibration Isolation5.8 Energy Dissipation and Equivalent Damping5.9 Response to Excitation with Harmonic Components5.10 Influence of Nonlinear Stiffness on Forced Response5.11 SummaryExercisesChapter 6: Single Degree-of-Freedom Systems Subjected to Transient Excitations 6.1 Introduction6.2 Response to Impulse Excitation6.3 Response to Step Input6.4 Response to Ramp Input6.5 Spectral Energy of the Response6.6 Response to Rectangular Pulse Excitation6.7 Response to Half-Sine Wave Pulse6.8 Impact Testing 6.9 SummaryExercisesChapter 7: Multiple Degree-of-Freedom Systems: Governing Equations and Natural Frequencies and Mode Shapes 7.1 Introduction7.2 Governing Equations7.3 Free Responses7.4 Rotating Shafts on Flexible Supports 7.5 Stability7.6 SummaryExercisesChapter 8: Multiple Degree-of-Freedom Systems: General Solution for Response and Forced Oscillations 8.1 Introduction8.2 Normal-Mode Approach8.3 State-Space Formulation8.4 Laplace Transform Approach8.5 Transfer Functions and Frequency-Response Functions8.6 Vibration Absorbers8.7 Vibration Isolation: Transmissibility Ratio8.8 Systems with Moving Base8.9 SummaryExercisesChapter 9: Vibrations of Beams 9.1 Introduction9.2 Governing Equations of Motion9.3 Free Oscillations: Natural Frequencies and Mode Shapes9.4 Forced Oscillations9.5 SummaryGlossaryAppendix A Laplace Transform Pairs B Fourier Series C Decibel Scale D Solutions to Ordinary Differential Equations E Matrices F Complex Numbers and
| 出版社 | Nelson Engineering |
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| 作者 | Balakumar Balachandran |