A Semi-Analytical Method for Peak Response Analysis of Bridge Stochastic Vibration Under Seismic Excitation

YANG Liu; MAO Chenyang; ZHAO Yan

doi:10.21656/1000-0887.460024

Volume 46 Issue 12

Dec. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(12): 1501-1514

YANG Liu, MAO Chenyang, ZHAO Yan. A Semi-Analytical Method for Peak Response Analysis of Bridge Stochastic Vibration Under Seismic Excitation[J]. Applied Mathematics and Mechanics, 2025, 46(12): 1501-1514. doi: 10.21656/1000-0887.460024

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A Semi-Analytical Method for Peak Response Analysis of Bridge Stochastic Vibration Under Seismic Excitation

doi: 10.21656/1000-0887.460024

YANG Liu¹,
MAO Chenyang²,
ZHAO Yan^{2,3
,
,}

1. Tianjin Seismological Bureau, Tianjin 300201, P.R.China;
2. State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, School of Mechanics and Aerospace Engineering, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China;
3. Ningbo Institute of Dalian University of Technology, Ningbo, Zhejiang 315016, P.R.China

Funds:

The National Science Foundation of China(11772084)

Received Date: 2025-02-12
Rev Recd Date: 2025-03-31

Available Online: 2025-12-31

Abstract

Abstract

A semi-analytical method for peak response analysis of first-passage failure of linear structures under stochastic seismic excitation was presented. Based on a multi-modal orthogonal decomposition strategy, the effective decoupling of temporal and spatial variables was achieved, to transform the structural physical stress response into the efficient modal space solution. The pseudo excitation method was employed to derive analytical expressions for modal response spectral moments under seismic spectrum excitation. Combined with the probability density function of response peaks according to the first-passage failure mechanism, a high-precision and rapid computational model for vibration peak responses was established. In the engineering case of a typical long-span cable-stayed bridge, comparative analysis of stress response peaks for critical components was conducted. Numerical results demonstrate that, compared with conventional methods, the proposed approach maintains computational accuracy while improving computational efficiency by 2 orders of magnitude, providing an effective tool for seismic reliability assessment of large-scale engineering structures.
- seismic response spectrum,
- random vibration,
- pesudo excitation method,
- first passage failure

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References(44)

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