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Mechanical Vibration
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center|Mechanical Vibration Text
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
Mechanical engineering Mechanics
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