Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Narrow-Band Random Excitation

Xiang Jun Lan; Zhi Hua Feng; Xiao Dong Zhu; Hong Lin

doi:10.4028/www.scientific.net/AMM.43.257

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 43Nonlinear Dynamics of a Parametrically Excited...

Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Narrow-Band Random Excitation

Abstract:

The first mode parametric resonance of a laminated beam subject to narrow-band random excitation is taken into consideration. The method of multiple scales is used and the stochastic jump and bifurcation have been investigated aiming at the stationary joint probability of the response of the system by using finite difference method. Results show that stochastic jump occurs mainly in the region of triple valued solution. The higher is the frequency, the more probable is the jump from the stationary nontrivial branch to the trivial one, whereas the most probable motion gradually approaches the trivial one when the band width becomes higher.

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Periodical:

Applied Mechanics and Materials (Volume 43)

Pages:

257-261

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.43.257

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Online since:

December 2010

Authors:

Xiang Jun Lan, Zhi Hua Feng, Xiao Dong Zhu, Hong Lin

Keywords:

Laminated Beam, Narrow-Band Random Excitation, Nonlinear Dynamics

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References

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