ENGLISH

Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods

By Ronald E. Mickens

Book information

Publisher
World Scientific Publishing Company
ISBN
981429165X, 9789814291651
LCC
QA221 .M53 2010
Open Library ID
OL23832932M
Language
english
Format
PDF
Filesize
3 MB (3160034 bytes)
Pages
255\255
Time added
2012-02-04 16:00:00
Механика;Теория колебаний

Description

This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of "truly nonlinear" (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply these technique to the field of nonlinear oscillations.

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