A dynamic branch-switching method for parametrically excited systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • A.Y.T. Leung
  • T. Ge

Detail(s)

Original languageEnglish
Article number584719
Pages (from-to)183-196
Journal / PublicationShock and Vibration
Volume6
Publication statusPublished - 1999
Externally publishedYes

Link(s)

Abstract

The branch-switching algorithm in static is applied to steady state dynamic problems. The governing ordinary differential equations are transformed to nonlinear algebraic equations by means of harmonic balance method using multiple frequency components. The frequency components of the (irrational) nonlinearity of oscillator are obtained by Fast Fourier Transform and Toeplitz Jacobian method (FFT/TJM). All singularities, folds, flips, period doubling and period bubbling, are computed accurately in an analytical manner. Coexisting solutions can be predicted without using initial condition search. The consistence of both stability criteria in time and frequency domains is discussed. A highly nonlinear parametrically excited system is given as example. All connected solution paths are predicted. © 1999, IOS Press. All rights reserved.

Research Area(s)

Citation Format(s)

A dynamic branch-switching method for parametrically excited systems. / Leung, A.Y.T.; Ge, T.

In: Shock and Vibration, Vol. 6, 584719, 1999, p. 183-196.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review