摘要
提出了一个在二次加速度假定下的新的高精度积分格式。该算法有相当高的计算精度,稳定性要求亦容易满足,适用于较大的时间步长来进行计算。文中对算法的基本原理、计算公式及稳定性条件进行了分析,并给出了数值算例,与常用的Wilson θ法、Newmark 法和中心差分法进行了比较。
A new accurate algorithm of step-by-step integration in which the acceleration is
approximated by second order polynomial of time variable is presented here. The algo-
rithm has better accuracy than that of the usual methods. Its stability condition is satis-
fied to integration of a longer time interval. The calculative formulae and the stability of
the algorithm are derived and analyzed. Some numerical examples are given. In compar-
ison with the result of Wilson θ method, Newmark method and Central difference
method show the effectiveness of the algorithm presented here.
出处
《大庆石油学院学报》
CAS
北大核心
1992年第3期37-42,共6页
Journal of Daqing Petroleum Institute
关键词
加速度
逐步积分法
精度
稳定性
second order
acceleration
step-by-step integration
degree of accuracy
stability
