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New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
Computers & Structures ( IF 4.4 ) Pub Date : 2024-11-20 , DOI: 10.1016/j.compstruc.2024.107587
Eman Alhayki, Wulf G. Dettmer

The time integration schemes, GA-23 and GA-234, recently proposed by the authors for first order problems, are extended to solve second-order problems in structural dynamics. The resulting methods maintain unconditional stability and user-controlled high-frequency damping. They offer improved accuracy and exhibit less numerical damping in the low-frequency regime, outperforming the well-known generalised-α method. When the high-frequency damping is maximised the new schemes can be cast in the format of backward difference formulae, offering more accurate alternatives to the standard second order formula. The effectiveness of the new time integration schemes is validated through a number of numerical examples, including a linear elastic cantilever beam, a nonlinear spring pendulum, and wave propagation on a string.

中文翻译:


新的结构动力学隐式时间积分方案,结合了高频阻尼和高二阶精度



作者最近针对一阶问题提出的时间积分方案 GA-23 和 GA-234 被扩展为解决结构动力学中的二阶问题。所得方法保持无条件稳定性和用户控制的高频阻尼。它们提供了更高的精度,并且在低频状态下表现出更少的数值阻尼,性能优于众所周知的广义α方法。当高频阻尼最大化时,新方案可以以反向差分公式的形式铸造,为标准二阶公式提供更准确的替代方案。通过许多数值示例验证了新时间积分方案的有效性,包括线性弹性悬臂梁、非线性弹簧摆和波在弦上的传播。
更新日期:2024-11-20
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