## Theory of Vibration: An IntroductionThe aim of this book is to impart a sound understanding, both physical and mathematical, of the fundamental theory of vibration and its applications. The book presents in a simple and systematic manner techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents new concepts in simple terms and explains procedures for solving problems in considerable detail. |

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konular intro da n donuna kadar güzel bir sırsayla alınmış bunun dışında anlatım dili akıcı olmakla beraber kullanışli bir kitap..

### Contents

CHAPTER | 1 |

CHAPTER 2 | 33 |

CHAPTER 3 | 61 |

CHAPTER 4 | 135 |

CHAPTER 5 | 185 |

CHAPTER 6 | 237 |

CHAPTER 7 | 301 |

337 | |

345 | |

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### Common terms and phrases

acceleration amplitude angular applied arbitrary assumed beam body called chapter characteristic equation complete solution consider constant coordinates damped single degree damping coefficient damping factor defined degree of freedom depends Derive described Determine differential equation direction discussed displacement dynamic effect elastic energy equal to zero equation of motion equilibrium equivalent evaluated Example expressed figure forcing function Fourier free vibration freedom system freedom system shown function F(t given harmonic inertia initial conditions integral leads length linear mass matrix method modal natural frequency obtained oscillations particle periodic position preceding presented Problem rad/s ratio reduces resonance respectively response result rigid roots shaft shown in Fig shows simple single degree solution spring static steady stiffness coefficient torsional undamped vector velocity vibration viscous written yields