## An Introduction to the Principles of Vibrations of Linear Systems |

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### Contents

Superposition of simple harmonic vibrations | 14 |

Free vibrations | 29 |

Forced vibrations | 43 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

amplitude amplitude and phase anti-phase assumed axis bandpass beats becomes boundary conditions Calculate the value capacitor Chapter coil Consider constant corresponding cos(cof counter-electromotive force critical speed damped system damping ratio degrees of freedom differential equation displacement dt2 dt electrical circuit ellipse equal equation of motion equilibrium position example FIGURE fixed force transmitted forced vibration Fourier frame freedom system frequency equation frequency ratio friction function given Hence impedance inductor initial conditions LC circuit loaded shaft lowest natural frequency mass maximum value mechanical mode shape modulus natural frequency Newton's second law Obtain an expression oscillations pendulum period phase angle phasor diagram Q factor rad/s rectangle resonance response resulting motion rev/min rotating second rotor shown in Fig shows simple harmonic motion sinusoidal solution spring of stiffness spring-mass system Substituting in Equation system shown tion vector vertical vibrograph viscous damper voltage zero