摘要
采用一个可以自调步长的按时间进行逐步积分的计算方法,给定了动力分析中用Newmark方法计算动力响应的后局部误差估计,这种方法可以使每一步的局部误差估计都在允许误差限内,并且给出了计算框图。计算实例表明:算法可以自动调节至适合的步长,使误差估计逐渐趋于零,从而得到这种有效方法可靠的数值解答。
A simple post local error estimate for Newmark Method in dynamic analysis is presented. It is based on an algorithm that is described by an adaptive time-stepping integration. It makes the local error of each step within a prescribed error tolerance. And the flow chart is provided. The numerical examples in this paper show that the error estimate is asymptotically convergent. An optimal step size predicted by the algorithm can make the numerical solution reliable in an efficient manner.
出处
《河北农业大学学报》
CAS
CSCD
北大核心
2004年第3期111-114,共4页
Journal of Hebei Agricultural University