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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Yu A Mitropolskii; Nguyen Dao |

ISBN: | 9789401588478 9401588473 |

OCLC Number: | 851380281 |

Description: | 1 online resource (x, 342 pages). |

Contents: | 1. Free Oscillations of Quasi-linear Systems -- 2. Self-excited Oscillations -- 3. Forced Oscillations -- 4. Parametrically-excited Oscillations -- 5. Interaction of Nonlinear Oscillations -- 6. Averaging Method -- Appendix 1. Principal Coordinates -- Appendix 2. Some Trigonometric Formulae Often Used in the Averaging Method -- References. |

Series Title: | Solid mechanics and its applications, 55. |

Responsibility: | by Yu. A. Mitropolskii, Nguyen Dao. |

More information: |

### Abstract:

The present volume addresses the application of asymptotic methods in nonlinear oscillations. Such methods see a large variety of applications in physics, mechanics and engineering. The advantages of using asymptotic methods in solving nonlinear problems are firstly simplicity, especially for computing higher approximations, and secondly their applicability to a large class of quasi-linear systems. In contrast to the existing literature, this book is concerned with the applied aspects of the methods concerned and also contains problems relevant to the everyday practice of engineers, physicists and mathematicians. Usually, dynamics systems are classified and examined by their degrees of freedom. This book is constructed from another point of view based upon the originating mechanism of the oscillations: free oscillation, self-excited oscillation, forced oscillation, and parametrically excited oscillation. The text has been designed to cover material from the elementary to the more advanced, in increasing order of difficulty. It is of considerable interest to both students and researchers in applied mathematics, physical and mechanical sciences, and engineering.

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