对称圆柱正交异性层合扁球壳的非线性稳定问题
On the Nonlinear Stability of Symmetrically Laminated Cylindrically Orthotropic Shallow Spherical Shells
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摘要: 本文建立了对称圆柱正交异性层合扁球壳的大挠度理论.依据这一理论.并应用修正迭代法.我们得到了均布压力作用下具有夹紧固定边界的对称圆柱正交异性层合扁球壳的临界载荷解析解.Abstract: In this paper, the large deflection theory of symmetrically laminated cylindrically orthotropic shallow spherical shells is established. Based on this theory, applying the modified iteration method, the analytic solution for critical buckling loads of the shells with rigidly clamped edges under actions of uniform pressure has been obtained.
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[1] 叶开沅、刘人怀等,在轴对称线布载荷作用下圈底扁球壳的非线性稳定问题.兰州大学学报.2 (1965),10:科学通报,2(1965),142. [2] 叶开沅、刘人怀等,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. [3] 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 [4] Chien Wei-zang,Large deflection of a circular clamped plate under uniform pressure,Chinese Journal of Physics,7,2(1947),102. [5] Chia,C.Y.,Nonlinear Analysis of Plates,McGraw-Hill,New York(1980). [6] 刘锡礼、王秉权,《复合材料力学基础》,中国建筑工业出版社,北京(1984) -
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