Electronic Resource

Energy Methods in Dynamics

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Penilaian

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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.

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Availability

Inventory Code	Barcode	Call Number	Location	Status
1408000311	EB0000589	620.3 Ngu e	Central Library	Available

Detail Information

Series Title

Interaction of Mechanics and Mathematics

Call Number

620.3 Ngu e

Publisher

Switzerland : Springer Cham., 2014

Collation

xii, 413p.: Ill.

Language

English

ISBN/ISSN

978-3-319-05419-3

Classification

620.3

Content Type

-

Media Type

-

Carrier Type

-

Edition

1

Subject(s)

Vibration--Mathematical models

Specific Detail Info

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Statement of Responsibility

RIZAL

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