Dynamic response analysis of vehicles crossing a bridge considering the randomness of road surface roughness

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (14) : 299-306.

XIE Juanjuan1, LI Jin1, TIAN Zhen1, ZHEN Longxin2, GU Yu1, LAO Xiaodong1, ZHANG Chengguang1

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Abstract

In order to analyze the dynamic response of vehicles crossing a bridge considering random road surface roughness, a random vehicle-bridge coupling vibration model was established.The road surface roughness was simulated and transformed using the road irregularity power spectrum, and the probability density evolution method was introduced to solve the system’s random response.The calculation was carried out and verified by two examples: the reliability of the model was verified by comparison with the classical examples; and the precision and efficiency of dynamic responses of the stochastic vehicle-bridge system calculated by the probability density evolution method were verified by comparison with the Monte Carlo method results.The two cases show that the calculation results of the random vibration system model are reliable, and the probability density evolution method can effectively improve the calculation efficiency under the premise of ensuring accuracy.Finally, the random responses of vehicles and bridges at different speeds were analyzed.The results show that: the speed of the vehicle is not sensitive to the mean value of the bridge response, but it has a greater impact on the mean value of the vehicle response; the standard deviation of the responses of the bridge and the vehicle increases as the vehicle speed increases.Under different road grade, the probability maximums of the bridge displacement and vehicle acceleration increase with the increase of vehicle speed; under different speed condition, the probability maximums of the bridge displacement and vehicle acceleration increase with the reducing of the road grade.

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vehicle-bridge coupling / probability density evolution method / roughness of road / random response

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XIE Juanjuan, LI Jin, TIAN Zhen, ZHEN Longxin, GU Yu, LAO Xiaodong, ZHANG Chengguang. Dynamic response analysis of vehicles crossing a bridge considering the randomness of road surface roughness[J]. Journal of Vibration and Shock, 2021, 40(14): 299-306

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