US 12,462,073 B2
Method for probabilistic assessment of seismic resistance of long-span arch bridge based on time-frequency hybrid computation
Jianting Zhou, Chongqing (CN); Helu Yu, Chongqing (CN); Zhengsong Xiang, Chongqing (CN); Pengfei Wei, Chongqing (CN); Wei Lu, Chongqing (CN); Zhongbo Tang, Chongqing (CN); Yulong Guo, Chongqing (CN); Chengjun Yan, Chongqing (CN); and Jinyang Li, Chongqing (CN)
Assigned to Chongqing Jiaotong University, Chongqing (CN); Sichuan Highway and Bridge Construction Group Co., LTD, Chengdu (CN); and Sichuan Road and Bridge East China Construction Co., LTD, Chengdu (CN)
Filed by Chongqing Jiaotong University, Chongqing (CN); Sichuan Highway and Bridge Construction Group Co., LTD, Chengdu (CN); and Sichuan Road and Bridge East China Construction Co., LTD, Chengdu (CN)
Filed on Feb. 20, 2025, as Appl. No. 19/058,057.
Claims priority of application No. 202410234883.6 (CN), filed on Feb. 29, 2024.
Prior Publication US 2025/0278528 A1, Sep. 4, 2025
Int. Cl. G06F 30/13 (2020.01); G01M 5/00 (2006.01)
CPC G06F 30/13 (2020.01) [G01M 5/0008 (2013.01); G01M 5/0066 (2013.01)] 7 Claims
OG exemplary drawing
 
1. A method for a probabilistic assessment of a seismic resistance of a long-span arch bridge based on a time-frequency hybrid computation, comprising following steps:
S1, acquiring structural parameters of the long-span arch bridge;
S2, constructing a dynamic model of the long-span arch bridge according to the structural parameters acquired in the S1;
S3, reducing the dynamic model of the long-span arch bridge in the S2 through modal decomposition, to obtain related data of first N modes of the dynamic model, and decomposing a seismic excitation by use of a time-frequency spectrum decomposition technology, to obtain a time-frequency deterministic basis function and an orthogonal random variable of a seismic excitation process;
S4, using a quadratic polynomial to piecewise interpolate a modulation function in the time-frequency deterministic basis function in the S3 to obtain a piecewise time-frequency slowly varying modulation function;
S5, based on the piecewise time-frequency slowly varying modulation function obtained in the S4, obtaining an explicit expression of a non-stationary seismic response of a long-span arch bridge structure through the modal decomposition and Duhamel integral; and
S6, simulating a seismic excitation sample using the orthogonal random variable obtained in the S3, and quickly computing a response sample through the explicit expression obtained in the S5, to assess the seismic resistance of the long-span arch bridge from a probabilistic perspective.