结构动力分析的速度样条配点法  

Spline Collocation Method of Velocity Response for Structural Dynamic Analysis

作　　者：王建平[1] 邹银生[1] 

机构地区：[1]湖南大学结构工程研究所

出　　处：《湖南大学学报（自然科学版）》1992年第6期57-62,共6页Journal of Hunan University:Natural Sciences

摘　　要：本文通过数学变换将结构动力平衡方程化为微分—积分方程,以三次B样条函数逼近时域上的结构速度反应,得到了一个计算结构动力反应的无条件稳定的计算格式.由于采用三次B样条函数逼近速度反应,位移反应通过速度反应的积分而得到,因而能保证速度反应、位移反应均有较高的精度.In this paper,the dynamical equiolibrium equation of structure is converted to a different——integral equation through a mathematical transformation.Then employing the linear combination of the cubic B—spline functions as the approximation function of structural response velocity on the time domain,a calculational scheme with unconditional stability for the dynamic response analysis of the structure is derived out. Both displacement and velocity obtained by this method have better accuracy because the velocity is approximated by cubic spline and the displacement is obtained by integrating the velocity.

关 键 词：动力响应 样条函数 速度 配点法 

分 类 号：TU311.3[建筑科学—结构工程]