With an emphasis on computer techniques of analysis, this book presents the theory, computational aspects, and applications of vibrations in as simple a manner as possible. This text gives expanded explanations of the fundamentals of vibration including history of vibration, degree of freedom systems, vibration control, vibration measurement, and more. For engineers and other professionals who want a clear introduction to vibration engineering.
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acceleration amplitude angular Assume coordinates cycle damped system damper damping constant damping ratio degree of freedom denotes Determine differential equations displacement dynamic eigenvectors elastic engine equations of motion equilibrium position equivalent mass equivalent spring constant example excitation expressed Figure Find the natural find the response forcing function Fourier series Fourier series expansion free vibration freedom system frequencies and mode frequency of vibration fundamental frequency given by Eq harmonic force harmonic motion hysteresis inertia initial conditions Input data kinetic energy Laplace transform linear machine matrix maximum mechanical modal mode shapes multidegree of freedom natural frequency nonlinear obtain oscillation pendulum period phase angle potential energy rad/sec resonance rotating rotor shaft shown in Fig single degree solution of Eq Sound and Vibration spring constant spring-mass system steady-state response subroutine system shown torsional spring torsional system unbalance undamped vector velocity vertical viscous damping zero