Parametrically excited system studied by dynamic branch switching method
Author(s)
Author(s)
Ge, T.
Date Issued
1998
Publisher
Shanghai University Press
Related Publication(s)
Proceedings of the 3rd International Conference on Nonlinear Mechanics (ICNM-III)
Start page
684
End page
689
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.
SFU Affiliated Publication
No
Availability at SFU Library
No database links found.