Abstract The paper is devoted to generalization of the analytical model of sandwich structures. The continuous variation of mechanical properties in thickness direction of the structure wall is proposed. The individual nonlinear theory of deformation of the straight line normal to the neutral surface is developed. This analytical model of sandwich structures is presented in detail for the example rectangular plate. Based on the principle of stationary potential energy two differential equations of equilibrium of the plate are obtained. The system of equations is analytically solved. The maximum deflection and critical loads of the example plates are derived. Results of these analytical studies are presented in Figures and Tables.

中文翻译：

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夹层结构模型的推广：矩形板弯曲和屈曲问题的分析研究

摘要 本文致力于夹层结构分析模型的推广。提出了结构壁厚方向力学性能的连续变化。发展了与中性面垂直的直线变形的个体非线性理论。对于示例矩形板，详细介绍了这种夹层结构的分析模型。根据静止势能原理，得到了板的两个平衡微分方程。方程组被解析解。推导出示例板的最大挠度和临界载荷。这些分析研究的结果显示在图和表中。