In this research, a new analytical solution is used for finding the buckling loads of rectangular plates with vertically and rotationally restrained edges. The solution method in this study is based on the development of a static solution for a plate. The solution is obtained in series form, and the coefficients are solved to match the edge conditions. The solution fits all the combinations of possible boundary conditions, of the deflection, slope, shear force and bending moment along the edges of the plate. In the case of springs, the edge force and moment boundary conditions are modified to include these effects. Any number of edges, from one to four, with both types of stiffening springs can be solved. Using this new method, the exact buckling loads and modes are found. The results are verified with published data, and many new cases are presented for uni-axially and bi-axially loaded isotropic, orthotropic, and composite plates.

中文翻译：

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沿边具有垂直和旋转弹簧的复合矩形板的解析屈曲载荷

在这项研究中，使用一种新的解析解来寻找具有垂直和旋转约束边缘的矩形板的屈曲载荷。本研究中的求解方法基于开发板的静态求解。以级数形式获得解，并求解系数以匹配边缘条件。该解决方案适合所有可能的边界条件组合，包括沿板边缘的挠度、坡度、剪力和弯矩。在弹簧的情况下，边缘力和力矩边界条件被修改以包括这些影响。可以解决任何数量的边缘，从 1 到 4，这两种类型的加强弹簧都可以解决。使用这种新方法，可以找到准确的屈曲载荷和模式。结果通过公布的数据得到验证，