三次和五次B样条函数在动力响应分析中的应用  

Cubic and quintic B-spline functions for dynamic response

作　　者：张琳[1] 聂孟喜[1] 仝辉[2] 

机构地区：[1]清华大学水利水电工程系,北京100084 [2]清华大学数学科学系,北京100084

出　　处：《清华大学学报（自然科学版）》2006年第3期327-330,共4页Journal of Tsinghua University(Science and Technology)

摘　　要：工程结构动力响应分析中有多种近似算法，但都存在计算精度和计算效率不够高的问题，为进一步优化，该文在Hamilton型拟变分原理体系下，建立了一种时间子域以三次和五次B样条函数插值的时间子域法。结构动力计算算例表明，以B样条函数插值的新方法最大计算误差是传统算法的1／17-2／5，计算耗时是传统算法的1／10～1／3，而且这种时间子域法的三次B样条函数插值比五次B样条函数插值在某些工程问题中更具有适用性。There numerous approximate algorithms for dynamical response analysis, but their accuracies are limited and they are computationally intensive. The Hamilton-type quasi-variation principle was used to develop a method using cubic B-spline functions for interpolation from the frequency domain to the time subdomain. Numerical results indicate that the maximum errors are 1/17 - 2/5 of traditional algorithms and computation times are 1/10 - 1/3. In addition, the time-subdomain method using cubic B-spline interpolation is more easily applied in engineering problems than methods using quintic B-spline functions.

关 键 词：动力响应 时间子域法 B样条函数 

分 类 号：O342[理学—固体力学]