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Titlebook: Inverse problems in vibration; G. M. L. Gladwell Book 19861st edition Springer Science+Business Media Dordrecht 1986 inverse problem.vibra

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发表于 2025-3-21 17:25:09 | 显示全部楼层 |阅读模式
书目名称Inverse problems in vibration
编辑G. M. L. Gladwell
视频video
丛书名称Mechanics: Dynamical Systems
图书封面Titlebook: Inverse problems in vibration;  G. M. L. Gladwell Book 19861st edition Springer Science+Business Media Dordrecht 1986 inverse problem.vibra
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
关键词inverse problem; vibration
版次1
doihttps://doi.org/10.1007/978-94-015-1178-0
isbn_softcover978-94-015-1180-3
isbn_ebook978-94-015-1178-0Series ISSN 0169-667X
issn_series 0169-667X
copyrightSpringer Science+Business Media Dordrecht 1986
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发表于 2025-3-21 23:00:58 | 显示全部楼层
Inversion of Discrete Second-Order Systems,uences, while the Supplement to Gantmakher and Krein (1950), and Krein (1952) make use of the theory of continued fractions developed by Stieltjes (1918). Krein sees his results as giving mechanical interpretations of Stieltjes’ analysis.
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Book 19861st edition 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 model
发表于 2025-3-22 06:46:53 | 显示全部楼层
0169-667X arge 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 whic
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Matrix Analysis,Science, it will be assumed that the reader has had some exposure to it: the presentation in the early stages will therefore be brief. The reader may supplement the treatment here with standard texts, in particular Bishop, Gladwell and Michaelson (1965).
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978-94-015-1180-3Springer Science+Business Media Dordrecht 1986
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Mechanics: Dynamical Systemshttp://image.papertrans.cn/i/image/474714.jpg
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https://doi.org/10.1007/978-94-015-1178-0inverse problem; vibration
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