广西科技大学学报2025，Vol.36Issue(3)：33-40,8.DOI:10.16375/j.cnki.cn45-1395/t.2025.03.005
双向风激励下非对称悬挂结构随机响应的解析解法
Analytical solution for random response of asymmetric suspension structures subjected to bidirectional wind excitation
摘要
Abstract
Asymmetric suspension structures are sensitive to wind vibration,and analytic solutions for random vibration response of structures subjected to horizontal and vertical wind excitation were proposed.Firstly,based on the D'Alembert principle,the dynamic equations for the horizontal and vertical vibrations of asymmetric suspension structures under horizontal and vertical pulsating wind excitation were established.The wind-induced vibration equation expressed in the generalized coordinates of the real mode was obtained using the real mode decomposition method,and the real mode vibration parameters of structures were obtained through finite element dynamic technics by Midas Civil software.Then,a unified frequency domain solution for the nodal horizontal and vertical displacement and velocity of suspension structure was derived by comprehensively using the complex modal method and the pseudo excitation method.Based on the quadratic decomposition method,concise analytic solutions for the spectral moments and variances of the above responses based on the Davenport's horizontal wind speed spectrum and Panofsky's vertical wind speed spectrum were derived.Finally,the correctness of the proposed solution was verified through a numerical example,and the influence of vertical pulsating wind on structural vibration was studied.Results have shown that vertical pulsating wind loads have a significant impact on the bi-directional vibration of suspended structures,and their effects must be considered.关键词
非对称悬挂结构/有限元动力分析法/解析解/双向风振动/二次式分解法Key words
asymmetric suspension structure/finite element dynamic method/analytic solution/bidirectional wind excitation/quadratic decomposition method分类
土木建筑引用本文复制引用
谢华,葛春雷,廖驻,葛新广..双向风激励下非对称悬挂结构随机响应的解析解法[J].广西科技大学学报,2025,36(3):33-40,8.基金项目
广西科技基地和人才专项(桂科AD23026265)资助 （桂科AD23026265）
