## Mechanical vibrations: theory and applications |

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### Contents

SYSTEMS WITH ONE DEGREE | 23 |

SYSTEMS WITH MORE THAN ONE DEGREE | 142 |

METHODS FOR FINDING | 190 |

Copyright | |

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amplitude applied Assume beam boundary conditions Chap characteristic equation constant damper damping factor defined deflection degrees of freedom differential equation discrete systems disk displacement displacement vector eigenvalues elements equation in Eq equations of motion equivalent Example FORMAT free vibration frequency equation function fundamental frequency GOTO harmonic motion Hence IANS illustrated in Fig inertia initial conditions iteration kinetic energy linear listed in Fig mass modal matrix modal vector mode shape modes of vibration natural frequency NDATA nonlinear obtain one-degree-of-freedom system orthogonal oscillation pendulum phase angle phase plane phasor plot potential energy principal modes print-out problem rad/s Rayleigh Repeat Prob resonance rotating shaft shown in Eq shown in Fig spring force static equilibrium static equilibrium position steady-state response subroutine Substituting Eq system in Fig system shown torque trajectory transfer matrix TRANSIENT RESPONSE TRESP undamped system values velocity viscous damping WRITE zero