计算力学学报2024，Vol.41Issue(6)：998-1004,7.DOI:10.7511/jslx20230509001
基于可靠度的桥梁结构动力优化设计
Dynamic optimization design of bridge structures based on reliability
摘要
Abstract
For the problem of uncertainty of dynamic loads on a bridge structures,the numerical characteristics of its dynamic response are determined based on the modal superposition method,and the reliability constraint function of dynamic stress is established by using the first-order second-moment method.The mathematical models of dynamic optimization design with constraints of frequency and dynamic stress reliability,dynamic displacement and dynamic stress reliability respectively,and the corresponding optimization programs are coded on Matlab platform.The test results of examples show that,the dynamic optimization criterion method,particle swarm algorithm and grey wolf algorithm can obtain the optimal value of the objective function of the whole structure mass under the constraint of both dynamic performance and stress reliability,the convergence and stability of PSO are the best,and the number of Doc iterations is the least,and the reliability of the optimized component is improved by more than 70％compared with the traditional dynamic optimization design.Meanwhile,it is found that the optimized mass of the structure will increase with the increase of the variation coefficient of the load amplitude in order to ensure that the reliability index of the structure does not decrease when facing larger uncertainties.The method presented in this paper can provide theoretical guidance for the dynamic optimal design of bridge structures under external random excitation.关键词
结构动力优化设计/动力特性/动力响应/桥梁结构/结构可靠度Key words
structural dynamic optimization design/dynamic characteristics/dynamic response/bridge structures/structural reliability分类
数理科学引用本文复制引用
黄海新,吕亚伦,程寿山..基于可靠度的桥梁结构动力优化设计[J].计算力学学报,2024,41(6):998-1004,7.基金项目
天津市交通运输科技发展计划(2021-29,2023-48) （2021-29,2023-48）
桥梁结构安全技术国家工程实验室开放课题(2019-GJKFKT （）
2021-GJKFKT)资助项目. （）
