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首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Buckling prognosis for thin elastic shallow shells
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Buckling prognosis for thin elastic shallow shells

机译：薄弹性浅壳的屈曲预后

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摘要

This article addresses several problems that are related to the elastic stability of thin shells and that are due to inconsistencies between the experimental data and predictions based on the equations of the shallow-shell theory. The above contradictions are solved within the three-dimensional nonlinear theory of elasticity. In particular, the dynamic approach enables a prediction of the moment of bifurcation for very thin shells under momentless stress through the analysis of asymptotically built two-dimensional equations. Appearance and development of the dents and patterns in initially ideal shells that precede the buckling are also explained in this article. The dents represent solitonic waves that are detectible by acoustic devices. Therefore, it is possible to reduce the risk of failure of thin shells by using acoustic devices to monitor their conditions. The article covers two types of experiments with thin shells when the loads are close to buckling. These experiments enable to assess the safety buckling factor under technical operation of shells.
机译：本文解决了与薄壳的弹性稳定性有关的几个问题，这是由于基于浅壳理论的方程的实验数据和预测之间的不一致。上述矛盾在弹性的三维非线性理论内求解。特别地，通过分析渐近构建的二维方程，动态方法能够预测通过渐近构建的二维方程的渐近压力下的极薄壳体的分叉非常薄的壳体的时刻。在屈曲之前的最初理想壳中的凹痕和图案的外观和发展也在本文中解释。凹痕代表声学器件可检测的孤子波。因此，可以通过使用声学器件监测其条件来降低薄壳体失效的风险。该文章涵盖了两种类型的实验，当负载接近屈曲时，薄壳。这些实验使得能够在壳体技术操作下评估安全屈曲因子。

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