基于二阶拉格朗日插值求解动力响应的逐步积分法  

A New Step-by-step Integration Method Based on Quadratic Lagrangian Interpolation for Dynamic Response

作　　者：袁晓彬[1] 王清远[1] 游翔[1] 方冬慧[1] 

机构地区：[1]四川大学建筑与环境学院,四川成都610065

出　　处：《四川大学学报（工程科学版）》2010年第3期84-88,共5页Journal of Sichuan University (Engineering Science Edition)

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

摘　　要：为了求解结构动力学响应,提出了一种新的逐步积分法。通过二阶拉格朗日插值在局部时间域上对位移进行离散,并给出逐步递推计算格式;采用参数θ控制算法的稳定性和计算精度。该方法具有稳定性好、二次精度、自起步的、计算格式简单的特点。通过选取不同的θ值与Newmark法、Wilson法、精细积分法的数值结果对比分析表明:该方法是正确而又可靠的。In order to obtain structural dynamic response,a new step-by-step integration method was presented.Thismethod was introduced by quadratic Lagrangian interpolation of the nodal displacements within local time domain.Single parameters θ was varied to obtain good stability and accuracy.This method is characterized with good stability,quadric precision,self-starting and simple numerical format.Compared with the methods of Newmark,Wilson,and precise integration at different θ,this method is more accurate and reliable.

关 键 词：动力学响应 逐步积分法 二阶拉格朗日插值 稳定性 

分 类 号：O332[理学—一般力学与力学基础]