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Generalized Reissner analysis of large axisymmetric deflections of thin circular and annular plates
International Journal of Solids and Structures ( IF 3.6 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.ijsolstr.2020.08.004
Raymond H. Plaut

Abstract A generalized Reissner theory for axisymmetric problems of thin circular and annular plates is applied to various problems. The plates are assumed to be linearly elastic, and shear deformation is neglected. Large deflections, rotations, and strains are allowed. The plate edges may be clamped or simply supported, movable or immovable. The types of loading considered are uniform pressure, central concentrated load, uniform edge moment, full ponding, and central rigid hub pushed downward (with or without an elastic foundation). In some cases, the effects of Poisson's ratio and the radius-to-thickness ratio are investigated, and the maximum deflections are compared to those based on von Karman theory and Reissner theory.

中文翻译:

薄圆环板大轴对称挠度的广义 Reissner 分析

摘要 薄圆板和环形板轴对称问题的广义Reissner理论适用于各种问题。假设板是线弹性的,剪切变形被忽略。允许大的偏转、旋转和应变。板边缘可以被夹紧或简单地支撑、可移动或不可移动。考虑的载荷类型是均匀压力、中心集中载荷、均匀边缘力矩、完全积水和向下推动的中心刚性轮毂(有或没有弹性基础)。在某些情况下,研究了泊松比和半径与厚度比的影响,并将最大挠度与基于 von Karman 理论和 Reissner 理论的那些进行了比较。
更新日期:2020-10-01
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