Fundamentals of Mechanical Vibrations

Fundamentals of Mechanical Vibrations

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Bibliographic Details
Main Author: Cai, Liang-Wu
Format: eBook
Language:English
Published: Newark : John Wiley & Sons, Incorporated, 2016.
Series:New York Academy of Sciences Ser.
Subjects:
Machinery > Vibration.
Vibration > Mathematical models.
Electronic books.
Online Access:Click for online access
Table of Contents:
  • Intro
  • Title Page
  • Copyright
  • Table of Contents
  • Series Preface
  • Preface
  • Chapter 1: A Crash Course on Lagrangian Dynamics
  • 1.1 Objectives
  • 1.2 Concept of "Equation of Motion"
  • 1.3 Generalized Coordinates
  • 1.4 Admissible Variations
  • 1.5 Degrees of Freedom
  • 1.6 Virtual Work and Generalized Forces
  • 1.7 Lagrangian
  • 1.8 Lagrange's Equation
  • 1.9 Procedure for Deriving Equation(s) of Motion
  • 1.10 Worked Examples
  • 1.11 Linearization of Equations of Motion
  • 1.12 Chapter Summary
  • Problems
  • Chapter 2: Vibrations of Single-DOF Systems
  • 2.1 Objectives
  • 2.2 Types of Vibration Analyses
  • 2.3 Free Vibrations of Undamped System
  • 2.4 Free Vibrations of Damped Systems
  • 2.5 Using Normalized Equation of Motion
  • 2.6 Forced Vibrations I: Steady-State Responses
  • 2.7 Forced Vibrations II: Transient Responses
  • 2.8 Chapter Summary
  • Problems
  • Chapter 3: Lumped-Parameter Modeling
  • 3.1 Objectives
  • 3.2 Modeling
  • 3.3 Idealized Elements
  • 3.4 Lumped-Parameter Modeling of Simple Components and Structures
  • 3.5 Alternative Methods
  • 3.6 Examples with Lumped-Parameter Models
  • 3.7 Chapter Summary
  • Problems
  • Chapter 4: Vibrations of Multi-DOF Systems
  • 4.1 Objectives
  • 4.2 Matrix Equation of Motion
  • 4.3 Modal Analysis: Natural Frequencies and Mode Shapes
  • 4.4 Free Vibrations
  • 4.5 Eigenvalues and Eigenvectors
  • 4.6 Coupling, Decoupling, and Principal Coordinates
  • 4.7 Forced Vibrations I: Steady-State Responses
  • 4.8 Forced Vibrations II: Transient Responses
  • 4.9 Chapter Summary
  • Problems
  • Reference
  • Chapter 5: Vibration Analyses Using Finite Element Method
  • 5.1 Objectives
  • 5.2 Introduction to Finite Element Method
  • 5.3 Finite Element Analyses of Beams
  • 5.4 Vibration Analyses Using SOLIDWORKS
  • 5.5 Chapter Summary
  • Problems
  • Appendix A: Review of Newtonian Dynamics
  • A.1 Kinematics
  • A.2 Kinetics
  • Appendix B: A Primer on MATLAB
  • B.1 Matrix Computations
  • B.2 Plotting
  • Appendix C: Tables of Laplace Transform
  • C.1 Properties of Laplace Transform
  • C.2 Function Transformations
  • Index
  • End User License Agreement

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