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Energy Methods and Rayleighs Principle
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acceleration amplitude of motion amplitude ratio angular displacement Answer approximate boundary conditions cable center of percussion characteristic values characteristic vector coefficient curve cycle cylinder damping ratio deflection degrees of freedom Determine the natural differential equation dimensionless dry friction elastic energy dissipated engine equation of motion equilibrium position EXAMPLE PROBLEM Figure forced vibration forcing function free body diagram free vibration freedom system frequencies and mode frequency equation harmonic motion hysteretic hysteretic damping in.-lb/radian inertia kinetic energy lb/in linear load lowest natural frequency mass system mean square mechanical vibration mode shape modulus natural frequency oscillation pendulum piston potential energy principal coordinates principal mode Rayleigh's principle resonance response rigid body rotation rubber shaft shown simple harmonic simple harmonic motion single degree solution solve speed spring and mass static steady-state Substituting torsional spring transfer matrix transient vertical viscous damping weight zero