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Artificial damping method for local instability problems in shells

机译:壳体局部不稳定性问题的人工阻尼方法

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In design of modern lightweight structures, it is of technical importance to ensure safety against buckling under the applied loading conditions. If the analysis process traces unstable paths under the global load-displacement response with negative stiffness, the arc-length method is effectively usable. However, if instability is localized, global solution methods may not work. The latest general purpose finite element codes provide automatic mechanisms for stabilizing unstable quasi-static problems by automatic addition of viscous damping to the model. When local instability occurs, deformation rate of that portion begins to increase and, consequently, locally released strain energy is dissipated due to the appended artificial damping effect. Elastic buckling of thin-walled shells is typically a local instability phenomenon. In this paper, we traced the successive path jumping behavior of elastic thin shells using the artificial damping method. The automatic seamless simulation provides good agreement with the experimentally observed buckling process well covering deep post-buckling region.
机译:在设计现代轻质结构方面,在应用的装载条件下确保抗屈曲的安全性是技术性重要性。如果分析过程在具有负刚度的全局负载 - 位移响应下横跨不稳定的路径,则可以有效地使用弧长方法。但是,如果不稳定是本地化的,则全局解决方案方法可能无法正常工作。最新的通用有限元代码提供了通过自动添加模型的粘性阻尼来稳定不稳定的准静态问题的自动机制。当发生局部不稳定性时,该部分的变形率开始增加,因此,由于所需的人工阻尼效应,因此局部释放的应变能量被耗散。薄壁壳的弹性屈曲通常是局部不稳定性现象。在本文中,我们使用人工阻尼方法跟踪弹性薄壳的连续路径跳跃行为。自动无缝仿真与实验观察到的屈曲过程良好覆盖深屈曲区域提供了良好的一致性。

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