刚度解析表达时高阶单步法的研究

Research on a high order single step method for analytic expression of stiffness

本文在原有高阶单步法研究的基础上对刚度为时间解析函数时方法的适用性进行了研究。结果表明,方法仍然具有无条件稳定、无超越现象、有较好算法阻尼等特性,具体算例也验证了高阶单步法在解刚度硬化和刚度软化问题时比γ函数方法具有更高的精度和更好的稳定性。

Based on the original research of the high order single step method, this paper makes the research on the applicability of this method for the analytic expression of stiffness. The findings indicate that the method still has the advantage of unconditional stability, no transcendental phenomenon and better damp of algorithm. The analysis results of some example show that the high order single step method has a higher precision and a better stability than the γ -function explicit method for solving the problems of stiffness hardening and stiffness softening.