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高层建筑地震非平稳随机阻尼控制研究
引用本文:宋德传,梁启智.高层建筑地震非平稳随机阻尼控制研究[J].华南理工大学学报(自然科学版),1997(3):106-113.
作者姓名:宋德传  梁启智
作者单位:华南理工大学建筑工程系
基金项目:国家教委高校博士点科研基金,广东省科学基金
摘    要:运用复模态分析方法,推导出受阻尼器控制具有非比例阻尼特性的高层建筑在地震作用下体系响应的时变功率谱密度函数矩阵;构造一动力结构体系,将非平稳随机问题转化为确定性问题。为了避免复数运算和减少计算工作量,又把不能解耦的构造方程转化为控制方程求解。最后把传统的实模态叠加法和迭代法相结合。求解控制方程的解。计算各楼层响应的时变方差。算例表明。取结构前3~4个振型便能得到很好的精度。且收敛速度快。

关 键 词:非平稳随机振动  功率谱密度  方差分析

INVESTIGATION INTO CONTROL OF NONSTATIONARYDAMPING OF TOWER SUBJECTED TO EARTHQUAKE
Song Dechuan Liang Qizhi.INVESTIGATION INTO CONTROL OF NONSTATIONARYDAMPING OF TOWER SUBJECTED TO EARTHQUAKE[J].Journal of South China University of Technology(Natural Science Edition),1997(3):106-113.
Authors:Song Dechuan Liang Qizhi
Abstract:A modal iterative method for the seismic response analysis of non-proportional damped systems subjected to nonstationary random excitations is presented in this paper . The auto-and cross-PSD function matrix of the structural resporses is described firstly by means of the complex modal method because of the evident damping levels of the damping - controllers . The non- proportional damping matrix is divided into two parts : the proportional part for dissipation of energy and the non-proportttonal part for transformation of energy . The coupled equations in generalized coordinates are solved by an iterative process in which the coupling terrns are treated as pseudctforces . Numerical examples show the good convergence characteristics of the process and . the good accuracy of the obtained results.
Keywords:nonstationary random vibration : power spectral density : variance analysis
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