集中载荷作用下开顶扁球壳的非线性稳定问题
On the Nonlinear Stability of a Truncated Shallow Spherical Shell under a Concentrated Load
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摘要: 本文使用修正迭代法研究了具有硬中心的边缘固定的开顶扁球壳在中心集中载荷作用下的轴对称非线性稳定问题,得到了决定上、下临界载荷的二次近似解析公式.Abstract: In this paper, the axisymmetric nonlinear stability of a clamped truncated shallow spherical shell with a nondeformable rigid body at the center under a concentrated load is investigated by use of the modified iteration method. The analytic formulas of second approximation for determining the upper and lower critical buckling loads are obtained.
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[1] 刘人怀,在内边缘均布力矩作用下中心开孔圆底扁球壳的非线性稳定问题,科学通报,3 (1965),253. [2] 刘人怀,在边缘载荷作用下中心开孔圆底扁薄球壳的轴对称稳定性,力学,3 (1977), 208. [3] 刘人怀,双层金属中心开孔扁球壳的非线性热稳定问题,中国科学技术大学学报,11, 1 (1981),84. [4] Liu Ren-huai, Nonlinear thermal stability of bimetallic shallow shells of revolution, International Tournal of Non-Linear Meclacnics, 18, 5(1983), 409. [5] Tillman, S, C.,On the buckling behaviour of shallow spherical caps under a uniform pressure load, International Iournal of Solids and Structures, 6, 1(1970), 37. [6] 叶开沅、刘人怀、平庆元、李思来,在对称线布载荷作用下的圆底扁薄球壳的非线性稳定问题,科学通报,2 (1965), 142;兰州大学学报,2 (1965), 10. [7] 叶开沅、刘人怀、张传智、徐一帆,圆底扁薄球壳在边缘力矩作用下的非线性稳定问题,科学通报,2(1965), 145. -
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