Table of contents:
Preface --
Acknowledgments --
List of Symbols --
Chapter 1 Fundamentals of Vibration --
1.1 Preliminary Remarks --
1.2 Brief History of the Study of Vibration --
1.2.1 Origins of the Study of Vibration --
1.2.2 From Galileo to Rayleigh --
1.2.3 Recent Contributions --
1.3 Importance of the Study of Vibration --
1.3.1 Conversion of Vibrations to Sound by the Human Ear --
1.4 Basic Concepts of Vibration --
1.4.1 Vibration --
1.4.2 Elementary Parts of Vibrating Systems 1.4.3 Number of Degrees of Freedom --
1.4.4 Discrete and Continuous Systems --
1.5 Classification of Vibration --
1.5.1 Free and Forced Vibration --
1.5.2 Undamped and Damped Vibration --
1.5.3 Linear and Nonlinear Vibration --
1.5.4 Deterministic and Random Vibration --
1.6 Vibration Analysis Procedure --
1.7 Spring Elements --
1.7.1 Nonlinear Springs --
1.7.2 Linearization of a Nonlinear Spring --
1.7.3 Spring Constants of Elastic Elements --
1.7.4 Combination of Springs --
1.7.5 Spring Constant Associated with the Restoring Force due to Gravity --
1.8 Mass or Inertia Elements 1.8.1 Combination of Masses --
1.9 Damping Elements --
1.9.1 Construction of Viscous Dampers --
1.9.2 Linearization of a Nonlinear Damper --
1.9.3 Combination of Dampers --
1.10 Harmonic Motion --
1.10.1 Vectorial Representation of Harmonic Motion --
1.10.2 Complex-Number Representation of Harmonic Motion --
1.10.3 Complex Algebra --
1.10.4 Operations on Harmonic Functions --
1.10.5 Definitions and Terminology --
1.11 Harmonic Analysis --
1.11.1 Fourier Series Expansion --
1.11.2 Complex Fourier Series --
1.11.3 Frequency Spectrum --
1.11.4 Time- and Frequency-Domain Representations 1.11.5 Even and Odd Functions --
1.11.6 Half-Range Expansions --
1.11.7 Numerical Computation of Coefficients --
1.12 Examples Using MATLAB --
1.13 Vibration Literature --
Chapter Summary --
References --
Review Questions --
Problems --
Design Projects --
Chapter 2 Free Vibration of Single-Degree-of-Freedom Systems --
2.1 Introduction --
2.2 Free Vibration of an Undamped Translational System --
2.2.1 Equation of Motion Using Newton's Second Law of Motion --
2.2.2 Equation of Motion Using Other Methods --
2.2.3 Equation of Motion of a Spring-Mass System in Vertical Position --
2.2.4 Solution 2.2.5 Harmonic Motion --
2.3 Free Vibration of an Undamped Torsional System --
2.3.1 Equation of Motion --
2.3.2 Solution --
2.4 Response of First-Order Systems and Time Constant --
2.5 Rayleigh's Energy Method --
2.6 Free Vibration with Viscous Damping --
2.6.1 Equation of Motion --
2.6.2 Solution --
2.6.3 Logarithmic Decrement --
2.6.4 Energy Dissipated in Viscous Damping --
2.6.5 Torsional Systems with Viscous Damping --
2.7 Graphical Representation of Characteristic Roots and Corresponding Solution --
2.7.1 Roots of the Characteristic Equation

Summary:
For courses in vibration engineering.Building Knowledge: Concepts of Vibration in EngineeringRetaining the style of previous editions, thisSixth SI EditionofMechanical Vibrationseffectively presents theory, computational aspects, and applications of vibration, introducing undergraduate engineering students to the su.