Parametrically excited system studied by dynamic branch switching meth

A. Y T Leung; Ge Tong

Parametrically excited system studied by dynamic branch switching meth

A. Y T Leung, Ge Tong

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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 (FFT). All singularities, folds, flips, period doubling and predicted 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 are discussed. A highly nonlinear parametrically excited system is given as example. All connected solution paths are predicted.

Original language	English
Title of host publication	Proceedings of the International Conference on Nonlinear Mechanics, ICNM
Publisher	Shanghai Univ
Pages	684-689
Publication status	Published - 1998
Externally published	Yes
Event	Proceedings of the 1998 3rd International Conference on Nonlinear Mechanics, ICNM - Shanghai, China Duration: 17 Aug 1998 → 20 Aug 1998

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Conference	Proceedings of the 1998 3rd International Conference on Nonlinear Mechanics, ICNM
City	Shanghai, China
Period	17/08/98 → 20/08/98

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@inproceedings{5f83334718684cc6bc02d6af2fc31b3b,

title = "Parametrically excited system studied by dynamic branch switching meth",

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 (FFT). All singularities, folds, flips, period doubling and predicted 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 are discussed. A highly nonlinear parametrically excited system is given as example. All connected solution paths are predicted.",

author = "Leung, {A. Y T} and Ge Tong",

year = "1998",

language = "English",

pages = "684--689",

booktitle = "Proceedings of the International Conference on Nonlinear Mechanics, ICNM",

publisher = "Shanghai Univ",

note = "Proceedings of the 1998 3rd International Conference on Nonlinear Mechanics, ICNM ; Conference date: 17-08-1998 Through 20-08-1998",

}

TY - GEN

T1 - Parametrically excited system studied by dynamic branch switching meth

AU - Leung, A. Y T

AU - Tong, Ge

PY - 1998

Y1 - 1998

N2 - 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 (FFT). All singularities, folds, flips, period doubling and predicted 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 are discussed. A highly nonlinear parametrically excited system is given as example. All connected solution paths are predicted.

AB - 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 (FFT). All singularities, folds, flips, period doubling and predicted 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 are discussed. A highly nonlinear parametrically excited system is given as example. All connected solution paths are predicted.

UR - http://www.scopus.com/inward/record.url?scp=0032299141&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0032299141&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SP - 684

EP - 689

BT - Proceedings of the International Conference on Nonlinear Mechanics, ICNM

PB - Shanghai Univ

T2 - Proceedings of the 1998 3rd International Conference on Nonlinear Mechanics, ICNM

Y2 - 17 August 1998 through 20 August 1998

ER -

Parametrically excited system studied by dynamic branch switching meth

Abstract

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