Truly Nonlinear Oscillations
Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
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ISBN-13:
9789814291651
Veröffentl:
2010
Einband:
HC gerader Rücken kaschiert
Erscheinungsdatum:
18.01.2010
Seiten:
262
Autor:
Ronald E. Mickens
Gewicht:
537 g
Format:
235x157x19 mm
Sprache:
Englisch
Beschreibung:
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.
Background and General Comments; Establishing Periodicity; Harmonic Balance; Parameter Expansions; Iteration Methods; Averaging Methods; Comparative Analysis.
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