Probability distribution of random variables of impact coefficient in numerical simulating the vehicle-bridge coupled vibration

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (18) : 123-128.

SHEN Ruili1，GUAN Kuai1，FANG Kai1

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Abstract

The bridge and vehicle were treated as two separated sub-systems, the FEM model of vehicle-bridge vibrations were established based on ANSYS software. Trigonometric series iteration and inverse discrete Fourier transform were used to simulate the deck roughness. The dynamic response of vehicle-bridge coupled vibration system was solved by using separated iterative algorithm. A new method was introduced to calculate impact coefficient by numerical simulating the vehicle-bridge coupled vibration of a simple supported beam bridge. Mathematical statistics method was used to get the probability distribution function of impact coefficient and the impact coefficient whose confidence coefficient is 0.05. The result indicates that (1) the deck roughness had a significant influence on impact effect of bridge; (2) Sample of impact coefficient obtained by using trigonometric series iteration are normally distributed and the other obtained by using inverse discrete Fourier transform obey extreme-I probability distribution; (3) Impact coefficient got by using inverse discrete Fourier transform were larger than that of trigonometric series iteration, both of them were larger than that of methods on the Specification.

Key words

highway bridge / separated iterative algorithm / deck roughness / vehicle model / impact coefficient / probability distribution

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SHEN Ruili1，GUAN Kuai1，FANG Kai1. Probability distribution of random variables of impact coefficient in numerical simulating the vehicle-bridge coupled vibration[J]. Journal of Vibration and Shock, 2015, 34(18): 123-128

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