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Insight into an implicit time integration scheme for structural dynamics

机译:洞悉结构动力学的隐式时间积分方案

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In Refs. [ 1,2 ], an effective implicit time integration scheme was proposed for the finite element solution of nonlinear problems in structural dynamics. Various important attributes were demonstrated. In particular, it was shown that the scheme remains stable, without the use of adjustable parameters, when the commonly used trapezoidal rule results in unstable solutions. In this paper we focus on additional important attributes of the scheme, and specifically on showing that the procedure can also be effective in linear analyses. We give, in comparison to other methods, the spectral radius, period elongation, and amplitude decay of the scheme and study the solution of a simple 'model problem' with a very flexible and stiff response.
机译:在参考文献中。 [1,2],提出了一种有效的隐式时间积分方案,用于结构动力学非线性问题的有限元求解。展示了各种重要属性。特别是,当常用的梯形规则导致不稳定的解时,表明该方案保持稳定,无需使用可调参数。在本文中,我们将重点放在该方案的其他重要属性上,尤其是说明该程序在线性分析中也可以有效。与其他方法相比,我们给出了该方案的频谱半径,周期延长和幅度衰减,并研究了具有非常灵活和僵硬响应的简单“模型问题”的解决方案。

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