Nonlinear Complex Dynamic Phenomena of the Perturbed Metallic Bar Considering Dissipating Effect

ZHAO Guang-hui; ZHANG Nian-mei; YANG Gui-tong

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ZHAO Guang-hui, ZHANG Nian-mei, YANG Gui-tong. Nonlinear Complex Dynamic Phenomena of the Perturbed Metallic Bar Considering Dissipating Effect[J]. Applied Mathematics and Mechanics, 2005, 26(2): 130-136.

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Nonlinear Complex Dynamic Phenomena of the Perturbed Metallic Bar Considering Dissipating Effect

Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China

Received Date: 2003-05-13
Rev Recd Date: 2004-09-15
Publish Date: 2005-02-15

Abstract

Abstract

Considering Peierls-Nabarro effect,one-dimensional finite metallic bar subjected with periodic field was researched under Neumann boundary condition.Dynamics of this system was described with displacement by perturbed sine-Gordon type equation.Finite difference scheme with fourth-order central differences in space and second-order central differences in time was used to simulate dynamic responses of this system.For the metallic bar with specified sizes and physical features,effect of amplitude of external driving on dynamic behavior of the bar was investigated under initial breather condition.Four kinds of typical dynamic behaviors are shown:x-independent simple harmonic motion;harmonic motion with single wave;quasi-periodic motion with single wave;temporal chaotic motion with single spatial mode.Poincar map and power spectrum are used to determine dynamic features.
- sine-Gordon system,
- Neumann boundary condition,
- chaotic

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References(6)

References

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