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本文利用通过“单体检验”并以“自由公式”为基础考虑剪切变形的任意四边形板弯曲单元体对薄板和中厚板的屈曲问题进行了分析和研究。文中计算了单向和双向受压下方板的稳定参数及径向受压下圆板的稳定参数,并初步考察了一致几何刚度和非一致几何刚度的差异。给出的数值结果是令人满意的。此外,对中厚板屈曲问题的进一步研究,也是很有意义的。
In this paper, the buckling problem of thin plate and medium-thick plate is analyzed and studied by using the arbitrary unit quadrilateral plate bending unit which considers the shear deformation based on the “single test” and considers the “free formula”. In this paper, the stability parameters of the one-way and two-way underpressure plates and the stability parameters of the circular plates under radial compression are calculated. The differences between the uniform and non-uniform geometrical stiffnesses are preliminarily investigated. The numerical results given are satisfactory. In addition, further study on the buckling problem of plate is also very meaningful.