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| Closed solution for non-stationary random vibration analysis of long-span bridge based on pseudo excitation method |
| Received:November 08, 2023 Revised:December 24, 2023 |
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| DOI：10.7511/jslx20231108003 |
| KeyWord:multipoint input non-stationary random vibration pseudo-excitation method closed solution |
| Author | Institution |
| 赵岩 |
大连理工大学 力学与航空航天学院 工业装备结构分析优化与CAE软件全国重点实验室, 大连 ;大连理工大学宁波研究院, 宁波 |
| 张亚辉 |
大连理工大学 力学与航空航天学院 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 林家浩 |
大连理工大学 力学与航空航天学院 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
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| Abstract: |
| In order to solve the problem of non-uniform seismic response analysis considering the motion of ground space for calculating long-span structures, combined with the pseudo-excitation method, a frequency domain method for calculating the evolution of power spectrum of non-stationary random vibration response of structures is established by using Fourier analysis.The proposed method is based entirely on frequency domain execution, and a closed form solution expression for the response evolution power spectrum is given.Due to the effective separation of the deterministic modulation process and the stochastic process, the discrete Fourier transform is used to obtain numerical results with good accuracy without high sampling and analysis frequency.Numerical examples are given to study the non-stationary random seismic response of a cable-stayed bridge considering the spatial effect of ground motion, and the correctness and effectiveness of the established frequency domain method are verified by comparison with the conventional time-frequency analysis method. |