| 書目名稱 | Inverse problems in vibration | | 編輯 | G. M. L. Gladwell | | 視頻video | http://file.papertrans.cn/475/474714/474714.mp4 | | 叢書名稱 | Mechanics: Dynamical Systems | | 圖書封面 |  | | 描述 | The last thing one settles in writing a book is what one should put in first. Pascal‘s Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen- frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system‘ of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen- functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or e | | 出版日期 | Book 19861st edition | | 關(guān)鍵詞 | inverse problem; vibration | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-1178-0 | | isbn_softcover | 978-94-015-1180-3 | | isbn_ebook | 978-94-015-1178-0Series ISSN 0169-667X | | issn_series | 0169-667X | | copyright | Springer Science+Business Media Dordrecht 1986 |
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