Mechanical Vibrations: M.K.S. System |
Contents
FUNDAMENTALS OF VIBRATIONS 127 | 1 |
DAMPED FREE VIBRATIONS | 3 |
5 | 23 |
Copyright | |
13 other sections not shown
Common terms and phrases
acceleration amount of damping amplitude of vibration angular C₁ C₂ constant corresponding Coulomb damping critical damping critical speed cycle damping coefficient damping factor dashpot deflection curve degree of freedom Determine differential equation disc displacement displacement-time plot equal equation of motion equilibrium position equivalent excitation Fo sin wt forced vibrations forcing function free vibrations freedom system given by equation gives Illustrative Example inertia force initial conditions instant k₂ kg-cm kg-cm-secē kg-cm/rad kg-sec/cm kg/cm Laplace transform load m₁ mass maximum mode shapes moment of inertia natural frequency obtained oscillations pendulum phase angle phase plane rad/sec ratio resonance rotating rotor shaft shown in Fig simple harmonic motion solution spring force spring-mass system steady stiffness Substituting system shown torque torsional undamped vector velocity vertical viscous damping w/wn weight X₁ zero