TY - BOOK AU - Rao, Singiresu S. TI - Mechanical Vibration in SI Units SN - 9781292178615 U1 - 620.3 23 PY - 2017/// CY - United Kingdom PB - Pearson Education KW - OCLC KW - Vibration--Statistical methods. KW - Vibration. N1 - 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 N2 - 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 UR - Pearson eBooks. ER -