结构动力方程精细直接积分法的简化计算  

SIMPLIFIED COMPUTATION OF PRECISE IMMEDIATE INTEGRATION METHOD FOR STRUCTURE DYNAMIC EQUATION

作　　者：张继锋[1] 邓子辰[1] 胡伟鹏[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,西安710072

出　　处：《动力学与控制学报》2008年第2期107-111,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金(10772147;10572119;10632030);高校博士点基金(20070699028);陕西省自然科学基金(2006A07);西北工业大学研究生创业种子基金资助;大连理工大学工业装备结构分析国家重点实验室开放基金(GZ0701);西北工业大学基础研究基金资助项目~~

摘　　要：考虑了结构动力方程转化为状态空间方程后非齐次项的特点,提出了新的简化精细直接积分法.通过分块计算矩阵,能够减小矩阵乘法的计算量,同时分别给出了利用梯形公式、Simpson公式、Cotes公式、高斯公式计算Duhamel积分时的不同简化格式.与原有的精细直接积分法进行了对比,简化方法在保持高精度的同时提高了计算效率.数值算例表明本文简化方法的有效性,在处理大型问题和长时间仿真时将有着很大的优势.After considering the characteristics of non - homogeneous items of state space equation which is conversed by structure dynamic equation, simplified precise immediate integration method is presented. Though blocking computing matrix, it can decrease the calculation amount of matrix multiplication. Meanwhile, the different simplified formats are presented when computing Duhamel integration with Trapezium formula,Simpson formula, Cotes formula and Gauss formula. Compared with the precise immediate integration method, simplified method can maintain the calculation accuracy and improve the calculation efficiency at the same time. The results of examples show the validity of simplified method in this paper and it will have large advantage in dealing with large - scale and long time simulations.

关 键 词：精细积分 直接积分 分块计算 简化计算 

分 类 号：O342[理学—固体力学]