Dynamic Responses Analysis of Bridges With Uncertain Parameters Under &nbsp;Moving Loads

LIU Fan; LI Lixiang; ZHAO Yan

doi:10.21656/1000-0887.430148

Volume 44 Issue 3

Mar. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(3): 241-247

LIU Fan, LI Lixiang, ZHAO Yan. Dynamic Responses Analysis of Bridges With Uncertain Parameters Under Moving Loads[J]. Applied Mathematics and Mechanics, 2023, 44(3): 241-247. doi: 10.21656/1000-0887.430148

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Dynamic Responses Analysis of Bridges With Uncertain Parameters Under Moving Loads

doi: 10.21656/1000-0887.430148

LIU Fan^1
,,
LI Lixiang¹,
ZHAO Yan^{1, 2
,
,}

1.
Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China
2.
Ningbo Research Institute of Dalian University of Technology, Ningbo, Zhejiang 315016, P.R.China

Received Date: 2022-04-27
Rev Recd Date: 2022-06-17

Available Online: 2023-03-20

Publish Date: 2023-03-15

Abstract

Abstract

The dynamic responses of bridges with uncertain parameters under moving loads were analyzed, and a polynomial dimensional decomposition method for the analysis of structural responses induced by moving loads was proposed for the first time. The uncertain parameters were regarded as independent random variables, and the random response function about these uncertain parameters was constructed. The dimensional decomposition of the function was further performed with a group of component functions with a gradually increasing number of variables, and the approximate expressions of the component functions were derived through the Fourier polynomial expansion. Then, the expansion coefficients were efficiently calculated through the introduction of the dimension-reduction integration method. The numerical examples give response estimation of bridges with uncertain parameters under moving loads, which in comparison with those from the Monte-Carlo simulation, verify the accuracy and efficiency of the proposed method.
- moving load,
- uncertainty quantification,
- polynomial dimensional decomposition,
- dimension-reduction integration

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References(15)

References

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