基于Wilson-θ精细积分法的结构地震时程反应分析

英文篇名：ANALYSIS OF TIME HISTORY RESPONSES OF STRUCTURES DURING EARTHQUAKES BASED ON WILSON-θ PRECISE INTEGRATION METHOD
中文刊名：工业建筑
英文刊名：Industrial Construction
作者：雷庆关 ; 陈东 ; 王建国 ; 张红亚
英文作者：Lei Qingguan1 ; 2 Chen Dong2 Wang Jianguo1 Zhang Hongya1 ; 2(1.Hefei University of Technology ; Hefei ; Anhui 230009 ; China ; 2.Anhui University of Architecture ; Hefei ; Anhui 230022 ; China)
中文关键词：精细积分法 ; 地震反应 ; Wilson-θ精细积分法 ; 牛顿-柯特斯积分
英文关键词：precise integration method ; seismic response ; wilson-θ precise integration method ; Newton-Cotes integration
出版日期：2012-07-20
机构：合肥工业大学;安徽建筑工业学院;
年：2012
期：07
出版单位：工业建筑

摘要

将精细积分法与Wilson-θ法结合起来求解结构动力方程,提出了Wilson-θ精细积分法,并应用于结构的地震时程反应分析中。该方法通过引入Wilson-θ法的基本假设,对结构动力微分方程进行降阶,然后再应用精细积分法和牛顿-柯特斯公式进行逐步积分,这样既降低了矩阵的阶数又避免了矩阵的求逆。最后,给出若干算例,计算结果表明,该方法对于地震作用具有较好的适应性,且精度好,效率高,可以在工程中推广应用。
The precise integration method and Wilson-θ method are combined to compute the structural dynamic equation,and wilson-θ precise integration method is proposed,and applied to structural seismic time-history response analysis.The method through introducing Wilson-θ method basic assumptions,the structural dynamic differential equations of order reduction,then the application of precise integration method and Newton Cotes formula of integration not only reduces the matrix of order and avoids the matrix inverse.Finally,some examples are given,the calculation results show that the method has good adaptability to seismic action,and good accuracy and high efficiency,which can be applied in the project.

引文

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