Mechanical vibrations / Singiresu S. Rao, University of Miami.

Includes bibliographical references and index

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 Systems1.5 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 Dampers1.9.2 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 Coefficients1.12 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 Newtonâ#x80;#x99;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 Motion2.3.2 Solution; 2.4 Response of First-Order Systems and Time Constant; 2.5 Rayleighâ#x80;#x99;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; 2.7.2 Graphical Representation of Roots and Corresponding Solutions; 2.8 Parameter Variations and Root Locus Representations.

For courses in vibration engineering. Building Knowledge: Concepts of Vibration in Engineering Retaining the style of previous editions, this Sixth SI Edition of Mechanical Vibrations effectively presents theory, computational aspects, and applications of vibration, introducing undergraduate engineering students to the subject of vibration engineering in as simple a manner as possible. Emphasizing computer techniques of analysis, Mechanical Vibrations thoroughly explains the fundamentals of vibration analysis, building on the understanding achieved by students in previous undergraduate.