双参数三次Hermite插值逐步积分法求解结构动力响应  

A NEW STEP-BY-STEP INTEGRATION METHOD BASED ON 3-ORDER HERMITE INTERPOLATION BY DOUBLE-PARAMETER FOR DYNAMIC RESPONSE

作　　者：袁晓彬[1] 赵晓[2] 方冬慧[1] 王清远[1] 

机构地区：[1]四川大学建筑与环境学院,成都610065 [2]成都理工大学地质灾害防治与地质环境保护国家重点实验室,成都610059

出　　处：《工程力学》2010年第10期42-46,共5页Engineering Mechanics

基　　金：教育部创新团队资助项目(IRT0640);教育部博士点基金项目(200806100044)

摘　　要：为了求解结构动力学响应,该文提出了一种新的逐步积分法。通过三次Hermite插值在局部时间域上对位移、速度进行离散,给出了逐步递推计算格式;采用双参数控制算法的稳定性和计算精度。该方法具有自起步、计算精度较高、无需中间计算环节的特点。通过与Newmark法、Wilson法、精细积分法的数值结果对比分析,表明该方法是准确可靠的。In order to obtain a structural dynamic response, a new step-by-step integration method is presented. The step-by-step recursion method is introduced by 3-order Hermite interpolation of nodal displacements and velocities within a local time domain; two different parameters are varied to obtain good stability and accuracy. This method is characterized with self-starting, high precision and no middle computational procedure. The example result comparison with those of Newmark, Wilson, precise integration, shows that this method is accurate and reliable.

关 键 词：动力学响应 逐步积分法 三次Hermite插值 双参数 稳定性 

分 类 号：TU311.3[建筑科学—结构工程]