摘要
子区间法计算原理和物理概念明确、简洁,但仍处于条件稳定阶段.基于子区间法的基本思想,提出了子区间法的一种新的计算方法,即嵌套方法.通过时间域展开的基和维数,得到了关于嵌套方法的均匀分划的分段式三次B样条基函数Ωj(t)的具体构造方法,给出了嵌套方法的三次B样条位移元子区间法递推格式的一般形式.该方法对于时间域始末条件的处理较为方便,也为子区间法无条件稳定递推格式的实现提供了新的思路和途径.
Although subinterval method possesses clear and concise calculation principle and physical concept, the method remains in conditionally stable stage. Based on the basic principle of subinterval method, nestification method was proposed. By the basis and dimension of time domain expansion, the constructional method for the uniformly-divided piece-wise cubic B-spline basis function Ωj（t）in nestification method was obtained, and generalized recurrence algorithm of displacement element subinterval method for cubic B-spline in nestification method was deduced. The method is convenient to deal with time domain initial condition and termination condition, and provides a new way for realizing unconditionally stable recurrence algorithm for subinterval method.
出处
《天津大学学报》
EI
CAS
CSCD
北大核心
2007年第9期1094-1098,共5页
Journal of Tianjin University(Science and Technology)
基金
国家自然科学基金资助项目(58870326)
关键词
子区间法
嵌套方法
三次B样条
时间域
递推格式
subinterval method
nestification method
cubic B-spline
time domain
recurrence algorithm
