A dynamic branch-switching method for parametrically excited systems

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-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

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Publisher's Copyright Statement
  • This full text is made available under CC-BY 3.0. https://creativecommons.org/licenses/by/3.0/
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0033319220&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(b04953d7-c29d-4e3c-9d33-dd5c3ca2b2bc).html

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)

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100
Frequency Component Engineering
50
Algebraic Equation Engineering
50
Fast Fourier Transf... Engineering
50
Initial Condition Engineering
50
Jacobian matrix Engineering
50
Frequency Domain Engineering
50
Harmonic Balance Engineering
50
Singularities Engineering
50
Time Domain Engineering
50
Multiple Frequency Engineering
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Citation Format(s)

[ RIS ] [ BibTeX ]
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 - Publication in refereed journal › peer-review

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