Mechanical VibrationsWith 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. |
Contents
comments have helped me improve the presentation I am most grateful to Profes | 2 |
Mechanical Vibrations is organized into 14 chapters and 3 appendixes The material | 6 |
CHAPTER | 8 |
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Common terms and phrases
A₁ amplitude analysis angular Assume beam C₁ coefficients coordinates cos(wt cycle damped system damper damping constant damping ratio deflection degree of freedom denotes displacement eigenvalue eigenvectors engine equations of motion equilibrium position EXAMPLE excitation expressed F₁ Figure Find the natural find the response forcing function Fourier series Fourier series expansion free vibration freedom system frequency of vibration given by Eq harmonic motion inertia initial conditions Input data k₁ k₂ Laplace transform linear m₂ machine mass m₁ matrix maximum method mode shapes moment of inertia natural frequency obtain oscillation pendulum potential energy problem rad/sec resonance rotating rotor shaft shown in Fig single degree solution of Eq spring constant spring-mass system steady-state stiffness subroutine system shown torsional spring torsional system undamped vector velocity viscous damping w₁ X₁ x₁(t zero ΕΙ ωπ



