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Research on Dynamic Instability of Irregularly-Shaped Arch Bridge Based on Catastrophe Theory

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Abstract:

According to the characteristic of poor stiffness of V-shaped beams, transverse dynamic instability model of V-shaped is presented by Catastrophe Theory. Mechanism of stability of V-shaped is analyzed. Coordinates of two cusps and instable bifurcation set is derived. Effect of nonlinear coefficient and frequency ratio on amplitude of V-shaped beams are analyzed. When nonlinear coefficient is , continuous change of can arise abrupt change of amplitude. Then the jumping phenomenon can leads destruction of V-shaped beams.

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Periodical:

Applied Mechanics and Materials (Volumes 99-100)

Pages:

832-837

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.99-100.832

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Online since:

September 2011

Authors:

Xiao Rong Yang, Xue Jing Shen, Min Zhong, Jiao Xia Lan

Keywords:

Catastrophe Theory, Dynamic Instability, Irregularly-Shaped Arch Bridge, Large Flexibility Bridge, Thin-Walled Curved Beam

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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References

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