瑞利阻尼介质有限元离散模型动力分析的数值稳定性

Numerical stability of explicit finite element schemes for dynamic system with Rayleigh damping

本文针对几种有一般阻尼的动力系统数值积分的显式方法 ,讨论了阻尼对稳定性的影响 ,并建议了瑞利阻尼介质有限元离散模型中动力分析数值稳定性的实用稳定判别方法。

For finite element analysis of a dynamic system with damping, two explicit numerical schemes are presented by the authors and compared with the central difference method and some other numerical schemes. The effects of Rayleigh damping on the stability of the system by using the aforementioned explicit integration schemes are discussed. A criterion is suggested for determination of the stability condition in finite element analysis of a dynamic system with Rayleigh damping.