结构动力响应的积分求积全域算法  

A New Universal Algorithm Based on Integral Quardrature for Dynamic Response

作　　者：袁晓彬[1,2] 杜鹃[2] 刘永杰[2] 赵晓[2] 

机构地区：[1]西京学院工程技术系,西安710123 [2]四川大学建筑与环境学院,成都610065

出　　处：《北京工业大学学报》2011年第9期1372-1376,共5页Journal of Beijing University of Technology

基　　金：国家自然科学项目资助(10772125)

摘　　要：为了求解结构动力学响应,提出了一种全域数值算法.本文采用积分求积并利用牛顿-柯斯特公式将一阶线性微分方程组离散成线性方程组求解.该法是一种全域算法,具有3次代数精度,不存在稳定性的特点.利用状态方程将结构动力学方程组变成一阶线性微分方程组,并利用上述算法求解.通过与数值算例的解析解对比,表明该法可靠、准确.In order to obtain a structural dynamic response, a new universal algorithm is presented. First order differential equation systems are integrated to be dispersed into linear system of equations by Newton-Cores formula. This method is characterized with universal algorithm, 3-order precision, no issue of stability. Structural dynamic equation is transferred into first order differential equation systems by state equation. The example result comparison with analytic solution shows this method is reliable and satisfying.

关 键 词：动力学响应 积分求积 牛顿-柯斯特公式 状态方程 全域算法 3次代数精度 

分 类 号：O332[理学—一般力学与力学基础]