结构动力分析中几种逐步积分法在负刚度条件下的收敛性和稳定性

CONVERGENCE AND STABILITY OF SEVERAL STEP-BY-STEP INTEGRATION METHODS IN STRUCTURAL DYNAMIC ANALYSIS IN CASE OF NEGATIVE-STIFFNESS

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。

Abstract: 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 Wilson θ Method is conditionally stable.