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首页> 外文期刊>International journal of non-linear mechanics >Non-linear static and dynamic instability of complete spherical shells using mixed finite element formulation
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Non-linear static and dynamic instability of complete spherical shells using mixed finite element formulation

机译：使用混合有限元公式的完整球形壳体的非线性静态和动态不稳定性

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摘要

The finite element method based on the total Lagrangian description of the motion and the Hellinger-Reissner principle with independent strain is applied to investigate the non-linear static and dynamic responses of spherical laminated shells under external pressure. The non-linear dynamic problem is solved by employing the implicit time integration method. The critical load of thin spherical laminated panels is investigated by examining the static and dynamic responses. The critical dynamic load is determined by the phase-plane and the Budiansky-Roth criteria. The effect of the artificial coefficient of Rayleigh damping on the dynamic response is considered. The dynamic response with damping included converges to the static response. The damping coefficient greatly affects a highly non-linear dynamic response. For a thin spherical panel with the snapping phenomena, the critical dynamic load is lower than the static one.
机译：基于运动的总拉格朗日描述和具有独立应变的Hellinger-Reissner原理的有限元方法被用于研究球形层压壳在外部压力下的非线性静动力响应。通过采用隐式时间积分方法解决了非线性动力学问题。通过检查静态和动态响应来研究薄球形层压板的临界载荷。临界动态负载由相平面和Budiansky-Roth准则确定。考虑了瑞利阻尼的人工系数对动力响应的影响。包含阻尼的动态响应收敛到静态响应。阻尼系数极大地影响高度非线性的动态响应。对于具有弹跳现象的薄球形面板，临界动态载荷低于静态载荷。

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