基础转动结构随机风振响应分析的复模态法
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摘要
对多自由度基础转动结构随机风振响应问题进行了系统研究。针对用上部结构第一振型展开所得方程为非经典阻尼和非对称结构以及脉动风谱为非有理分式风谱情况 ,用线性滤波过程生成脉动风谱 ,用复模态和扩阶法进行解耦 ,获得了等效风谱对应的以第一振型表示的结构响应解析解 ,对单自由度体系 ,此解即为结构响应精确解。该方法可用于带TMD或TLD结构的风振分析和优化设计。
The random wind-induced response of structures with foundation rotation and multi-degree of freedom is studied systematicaly. The dynamic equations are established firstly, then, the upper structure is unfold through the first mode. According to the situation that the demping is the non-classical damping, the structure is non-symmetry, and the wind spectrum is irrational fraction, the wind spectrm is generated by linear filtered process, the dynamic equations are disconnected by the complex mode theory and the expanding rank method. The analytic solution of wind-induced response which is expressed by the first mode and correspond to equivalent wind spectrum is given. The solution is the exact result of the structure with single degree of freedom system. The wind-induced analysis and optimization design of the structures with TMD and TLD can be done by this method.
The random wind-induced response of structures with foundation rotation and multi-degree of freedom is studied systematicaly. The dynamic equations are established firstly, then, the upper structure is unfold through the first mode. According to the situation that the demping is the non-classical damping, the structure is non-symmetry, and the wind spectrum is irrational fraction, the wind spectrm is generated by linear filtered process, the dynamic equations are disconnected by the complex mode theory and the expanding rank method. The analytic solution of wind-induced response which is expressed by the first mode and correspond to equivalent wind spectrum is given. The solution is the exact result of the structure with single degree of freedom system. The wind-induced analysis and optimization design of the structures with TMD and TLD can be done by this method.
引文
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10 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2).工业建筑,1999,29(6):17～19
2 龚思礼.建筑抗震设计.北京:中国建筑工业出版社,1994.108～110
3 丰定国等.工程结构抗震.北京:地震出版社,1995.65～66
4 林炽杰,张相庭,黄本才.高耸结构与地基共同作用的风振响应分析.见:中国土木工程学会.第八届全国结构风效应学术会议论文集.1997.3～31—3～36
5 杨庆山.悬索结构风振系数计算.哈尔滨建筑大学学报,1995,28(6):33～40
6 FawzyI ,BishopRED.OntheDynamics ofLinearNoconservativeSystems.Proc.Roy.Soc.L ondonSer.A.1976.25,3 52
7 FangT,WangZN.StationaryResp onsetoSecondorderFilteredWhiteNoiseExc it ation.AIAA.J1986,24(6):1048～1051
8 李创第.线性与非线性随机过程时变可靠度理论及其在高层建筑玻璃幕墙非线性抗风抗震设计中的应用:[博士学位论文].武汉:武汉工业大学,1999
9 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(1).工业建筑,1999,29(5):40～45
10 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2).工业建筑,1999,29(6):17～19
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