地震作用下桥梁随机振动峰值响应分析的半解析方法

杨柳; 毛晨洋; 赵岩

doi:10.21656/1000-0887.460024

地震作用下桥梁随机振动峰值响应分析的半解析方法

doi: 10.21656/1000-0887.460024

杨柳¹,
毛晨洋²,
赵岩^2,3, ,

1. 天津市地震局，天津 300201;
2. 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，辽宁大连 116023;
3. 大连理工大学宁波研究院，浙江宁波 315016

基金项目:

国家自然科学基金（11772084）

详细信息

作者简介:
杨柳(1980—)，女，高级工程师(E-mail: yangliu_m@163.com)；毛晨洋(2000—)，男，博士生(E-mail: maochenyang@mail.dlut.edu.cn)；赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).

通讯作者:
赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).

中图分类号: O324
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- 文章访问数: 11
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- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2025-02-12
- 修回日期: 2025-03-31
- 网络出版日期: 2025-12-31

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

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)

摘要

摘要: 提出了一种随机地震激励下线性结构首次穿越破坏的极值响应半解析分析方法.基于多模态正交分解策略实现时空变量的有效解耦，将结构物理应力响应转化到模态空间的高效求解.借助虚拟激励法推导了地震谱作用下的模态响应谱矩解析表达式，结合首次穿越破坏机制的响应峰值概率密度函数，构建了振动峰值响应的高精度快速计算模型.以典型大跨斜拉桥为工程背景，对关键构件应力响应峰值进行对比分析.数值实验结果表明：与传统方法相比，该文方法在保证计算精度的同时，计算效率提升两个数量级，为大型工程结构的抗震可靠度评估提供了有效工具.
- 地震反应谱 /
- 随机振动 /
- 虚拟激励法 /
- 首次穿越失效
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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参考文献(44)

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地震作用下桥梁随机振动峰值响应分析的半解析方法

doi: 10.21656/1000-0887.460024

作者简介:
杨柳(1980—)，女，高级工程师(E-mail: yangliu_m@163.com)；毛晨洋(2000—)，男，博士生(E-mail: maochenyang@mail.dlut.edu.cn)；赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).

通讯作者:
赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).

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

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留言板

地震作用下桥梁随机振动峰值响应分析的半解析方法

doi: 10.21656/1000-0887.460024

作者简介: 杨柳(1980—)，女，高级工程师(E-mail: yangliu_m@163.com)；毛晨洋(2000—)，男，博士生(E-mail: maochenyang@mail.dlut.edu.cn)；赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).

通讯作者: 赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).

计量

出版历程

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

计量

出版历程

目录

作者简介:
杨柳(1980—)，女，高级工程师(E-mail: yangliu_m@163.com)；毛晨洋(2000—)，男，博士生(E-mail: maochenyang@mail.dlut.edu.cn)；赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).

通讯作者:
赵岩(1974—)，男，教授，博士(通讯作者. E-mail: yzhao@dlut.edu.cn).