摘要
大型结构动力响应问题采用传统的时间步长直接积分方法求解是非常耗时的，因此发展相应的并行计算方法成为必然．传统的直接积分方法是极度串行而不适于并行计算，而精细时程积分方法可以使用大步长单步计算出求解区间任意时间点的响应值，为并行计算提供了极大的可能性．结构动力响应方程通过变量变换可以转化为一阶线性常微分方程，该方程组的解由表示初值影响的齐次方程解和反映荷载作用的积分之和组成．其中第一项用矩阵指数函数计算；第二项在文中采用精细时程积分傅里叶展开方法计算（设计了３种相应的并行算法），并在ＴＲＡＮＳＰＵＴＥＲ并行机上实现．结果表明，３种ＨＰＤ－Ｆ并行算法有很高的加速比和并行效率．
Direct integration methods for finding structural dynamic responses are generally very time consuming and costly. Hence, it is of great importance to develop their parallel computing equivalents wherever possible. However, such parallelisation is usually very difficult because timestep integration procedures are essentially sequential. This paper show that the high precision direct integration (HPD) methods can calculate the response at any time within this time interval independently by a onestep computation, which provide superior possibilities for parallelisation. The solution of the structural equation of motion is composed of two parts: the homogeneous solution caused by the initial value and the particular solution caused by the loading item. The first part of computation is based on the precise solution of exponential matrix, and the second part is solved by high precision direct integrationFourier method (HPDF) in this paper. Three HPDF parallel algorithms, which have high speedup and efficiency are presented and implemented on the TRANSPUTER parallel computer. The HPD methods have wide use in the structural dynamic response.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1998年第8期81-85,共5页
Journal of Shanghai Jiaotong University
关键词
动力响应力
精细时程积分
并行算法
结构
dynamic response
high precision direct integration
parallel computing
Fourier method
