子结构拟动力试验的CD-Wilson θ法研究  

Research on CD-Wilson θ method in substructure pseudodynamic test

作　　者：王晓峰[1] 蔡新江[1] 田石柱[1,2] 

机构地区：[1]苏州科技学院土木工程学院,江苏苏州215011 [2]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090

出　　处：《四川建筑科学研究》2013年第3期152-155,共4页Sichuan Building Science

基　　金：国家自然科学基金(90715036);教育部博士点基金(20092302110049);重点实验室课题(ZD1104);校科研启动基金(331011102)

摘　　要：子结构拟动力试验中的组合数值积分方法具有显式数值积分方法无需迭代和隐式数值积分方法无条件稳定的优点。为解决CD-Newmark方法存在上限频率取值较大导致时间步长变小的问题,将显式的中心差分法和隐式的Wilson-θ法进行组合,形成CD-Wilson θ法。经计算和对Wilson-θ法做出一定修正后,得出该组合数值积分方法的稳定性和精度条件。通过Matlab软件编程,提出了CD-Wilson θ法稳定性的参数取值范围,并用算例做出对比验证。结果表明这种组合数值积分方法不仅稳定性和精度性好,而且比CD-Newmark法的时间步长范围更大。The advantages of combination of numerical integration method can be considered as the explicit numerical integration method without iteration and the implicit numerical integration method with unconditional stability in the substructure pseudodynamic test. According to the CD-Newmark method with large upper frequence that leads to the time step become smaller, the CD-Wilson θ method is combined by explicit center difference method and implicit Wilson-θ method. After calculation and modification the Wilson-θmethod, the CD-Wilson θ method is obtained its stability conditions and precision. Through the programming of MATLAB, the CD-Wilson θ method is found out its stability conditions by value range of parameters,then the unconditional stability of CD-Wilson 0 method is made to contrast and verify by a example. The result shows that this combination of numerical integration method not only good stability and precision,but also than CD-Newmark method time step of greater range.

关 键 词：子结构拟动力试验 组合数值积分方法 CD-Wilson θ法 稳定性 时间步长 

分 类 号：TU311.3[建筑科学—结构工程]