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Recent results on the effect of the transverse core compressibility on the static and dynamic response of sandwich structures

机译:横向芯压缩性对夹层结构静动力响应影响的最新研究结果

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摘要

This paper is devoted to a study of the effects played by transverse core compressibility of sandwich plates and shells on their static and dynamic behavior. The analysis is based on a higher-order structural model using the standard Kirchhoff-Love assumption for the face sheets and a higher order displacement representation for the core layer. The model accounts for the geometrical nonlinearities that are considered in the von Karman sense and for initial geometric imperfections. Transverse shear effects are included in the soft-core layer. Consistent equations of motion and boundary conditions are derived via the application of Hamilton's principle. In the cases that are analyzed and presented in this paper, it was revealed that the static and dynamic buckling/response and postbuckling of flat and curved sandwich structures, are strongly affected by transverse compressibility of the core. It is also shown that in the context of this structural model, the wrinkling instability and response are captured directly from the derived governing equations, and not, as customarily, via a post-processing analysis.
机译:本文致力于研究夹芯板和壳的横向芯可压缩性对其静态和动态行为的影响。该分析基于使用面板的标准Kirchhoff-Love假设的高阶结构模型和用于核心层的高阶位移表示。该模型考虑了从von Karman角度考虑的几何非线性和初始几何缺陷。横向剪切效应包括在软芯层中。运动和边界条件的一致方程是通过应用汉密尔顿原理得出的。在本文分析和介绍的情况下,揭示了扁平和弯曲夹层结构的静态和动态屈曲/响应和后屈曲受芯的横向可压缩性的强烈影响。还表明,在该结构模型的上下文中,起皱的不稳定性和响应直接从导出的控制方程式中捕获,而不是通常通过后处理分析捕获。

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