Mechanical Vibration
Mechanical vibration is defined as the measurement of a periodic process of oscillations with respect to an equilibrium point. This book should provide essential concepts involving vibrational analysis, uncertainty modeling, and vibration control. It should also give a good fundamental basis in computational results, mathematical modeling and assessment in performance of different systems and system components. Attention will be paid to vibrating systems such as beams, strings, plates and membranes, vibration isolation, critical speeds, the balancing of rotating and reciprocating machinery. Basic principles of control theory will be presented from feedback control systems. Finally, chapters will include numerous example problems and possibly projects.
Contents
Introduction & Background
 Distinguishing Mechanical Vibration
 Prerequisites
 Background & Models
 Idealization & Formulation
 Equilibrium
 Second Law of Motion
 Units
Single Degree of Freedom: Introduction
 Deterministic Modeling
 Damping, Mass & Stiffness
 Electrical Analogy and relations
 Equations of Motion
 Formulation of Energy
 Lagrange Form Applied
 Pendulum Motion
 Free Vibration without Damping
 Harmonic forced without damping
 Vibrational Resonance
 Practice Problems
Single Degree of Freedom: Damping

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