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Applied asymptotic methods in nonlinear oscillations / by Yu. A. Mitropolskii and Nguyen Van Dao.

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Author/Creator:
Mitropolʹskiĭ, I͡U. A. (I͡Uriĭ Alekseevich), 1917-2008
Language:
English
Imprint:
Dordrecht ; Boston : Kluwer Academic Publishers, c1997.
Format:
  • Book
  • x, 341 p. : ill. ; 25 cm.
Bibliography:
Includes bibliographical references (p. [332]-335) and index.
Contents:
  • Free oscillations of quasi-linear systems-- self-excited oscillations-- forced oscillations-- parametrically-excited oscillations-- interaction of nonlinear oscillations-- averaging method. Appendices: principal co-ordinates-- some trigonometric formulae often used in the averaging method.
  • (source: Nielsen Book Data)
Publisher's Summary:
This 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. The 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 text 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 should be of intereest to both students and researchers in applied mathematics, physical and mechanical sciences, and engineering.
(source: Nielsen Book Data)
Contributor:
Dao, Nguyen Van.
Series:
Solid mechanics and its applications ; v. 55.
Subjects:
ISBN:
079234605X
9780792346050

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