书目名称 | Energy Methods in Dynamics |
编辑 | Khanh Chau Le,Lu Trong Khiem Nguyen |
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概述 | Gives insight into the mechanism of vibrations and waves in order to control them in an optimal way Introduction to the systematic and intensive use of Hamilton‘s variational principle and its general |
丛书名称 | Interaction of Mechanics and Mathematics |
图书封面 |  |
描述 | .Energy Methods in Dynamics .is a textbook based on the lectures given by the first author at Ruhr University Bochum, Germany. Its aim is to help students acquire both a good grasp of the first principles from which the governing equations can be derived, and the adequate mathematical methods for their solving. Its distinctive features, as seen from the title, lie in the systematic and intensive use of Hamilton‘s variational principle and its generalizations for deriving the governing equations of conservative and dissipative mechanical systems, and also in providing the direct variational-asymptotic analysis, whenever available, of the energy and dissipation for the solution of these equations. It demonstrates that many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), Wentzel–Kramers–Brillouin (WKB), and Whitham are derivable from this variational-asymptotic analysis..This second edition includes the solutions to all exercises as well as some new materials concerning amplitude and slope modulations of nonlinear dispersive waves.. |
出版日期 | Book 2014Latest edition |
关键词 | Dissipation; Energy; Hamilton’s Variational Principle and its Generalization; Variational-asymptotic Me |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-319-05419-3 |
isbn_softcover | 978-3-319-05418-6 |
isbn_ebook | 978-3-319-05419-3Series ISSN 1860-6245 Series E-ISSN 1860-6253 |
issn_series | 1860-6245 |
copyright | Springer International Publishing Switzerland 2014 |