摘要
本文考察结构动力学中Newmark数值积分法的精度阶。通过数值试验和理论分析,证明对于无阻尼系统,β=1/12的Newmark法只是2阶的,而不是通常所认定的4阶。文中还推荐一个单一多步技巧来改善其精度:将第1步分成足够多的子步,用单步格式进行积分;随即在第1步末转到多步格式,计算到底。
The order of Newmark s method for numerical intergration in structural dynamics is examined. By Numerical test and Theoretical Analysis,it isfound that Newmark s method with β= 1/12 has only order 2 for undamped system ,not order 4 as usuallybelieved. But its accuracy can be improved by s0-called singke = multi-step technique: the first step is divided into several substeps and dynamic e-quations is integrated with single-step scheme,then beginning from the end of first step,problem is computed by multi-step scheme through to the end.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
1992年第S1期124-128,共5页
Journal of Zhejiang University：Engineering Science
关键词
结构动力学
振动
动响应
数值积分法
structural dynamics
vibration
dynamic response
numerical integration
