Fundamentals of Vibration Study |
Contents
Simple harmonic motion and equivalent systems | 9 |
DAMPING AND FORCED VIBRATION One Degree of Freedom | 16 |
Effective inertia | 18 |
8 other sections not shown
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a.sin A₁ A₂ acceleration amplitude angular displacement arbitrary constants axis b.sin beam C₁ calculated Chapter complementary function critical value curve cycle damped system damping coefficient damping forces dashpot degrees of freedom determined differential dynamic magnifier dynamic stiffness effective inertia energy engineering equation of motion example formula Fourier Fourier series given harmonic Hence initial conditions integral J₁ J₂ k₂ Ker Wilson lbs./in linear mass maximum method modulus moment of inertia natural frequency node obtained operator pendulum phase-angle polar inertia poundals practical quantities quency radians ratio resonant frequency result shaft simple harmonic motion sin pt sinh sinusoidal slugs solution spring static deflection steady rotation substitution swinging form system of Fig T₁ termed torque torsional system torsional vibration unit vector velocity vibration problems vibration study wt+4 zero damping