A dynamic branch-switching method for parametrically excited systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 584719 |
| Pages (from-to) | 183-196 |
| Journal / Publication | Shock and Vibration |
| Volume | 6 |
| Publication status | Published - 1999 |
| Externally published | Yes |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
|
| 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)
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.
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 journal › peer-review
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