摘要
本文研究了负刚度条件下中心差分法、Z-变换法、Wilson θ法以及二步Adams显式方法的收敛性及稳定性。在负刚度条件下,这几种方法都是收敛的,中心差分法、Z-变换法及二步Adams显式方法是无条件稳定的,而Wilson θ法则是条件稳定的。
The convergence and the stability of central difference method, Z-transformation method, Wilson θ method and two-step adams-bashforth method have been studied in this paper for the model with the negative-stiffness. In the case of the negative-stiffness, these methods are convergent. Under the negative-stiffness, central difference method, Z-transformation method and two-step adams-bashforth method are unconditionally stable, but WilsonθMethod is conditionally stable.
出处
《工程力学》
EI
CSCD
1989年第2期35-47,共13页
Engineering Mechanics
关键词
结构
动力分析
逐步积分法
负刚度
Convergence, absolute stability, relative stability, principle root, extraneous root, positive-stiffness, negative-stiffness.