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简支半球壳的轴对称弯曲
引用本文:侯宇 何福保. 简支半球壳的轴对称弯曲[J]. 工程力学, 1996, 13(1): 58-65
作者姓名:侯宇 何福保
作者单位:中国计量学院,上海大学
摘    要:本文用三维弹性力学理论求得简支半球壳轴对称弯曲问题的一般解析解。该解具有分离变量形式,在坐标方向是正交完备的雅可比多项式级数。文末结合一个算例给出数字结果,并证实了中厚壳理论的精确性。

关 键 词:球壳;弯曲;弹性理论

AXISYMMETRIC BENDING OF A SEMISPHERICAL SHELL WITH SIMPLE SUPPORT
Hou Yu, He Fubao. AXISYMMETRIC BENDING OF A SEMISPHERICAL SHELL WITH SIMPLE SUPPORT[J]. Engineering Mechanics, 1996, 13(1): 58-65
Authors:Hou Yu   He Fubao
Affiliation:Hou Yu; He Fubao (China Institute of Metrology ) (Shanghai University)
Abstract:In this paper, a general analytical solution for the axisymmetric bending of a semispherical shell with simple support is presented based on the three-dimensional elasticity. The solution formed with separated variables is expressed in terms of an orthogonal. complete series of Jacobi polynomials in the coordinate φ. Numerical results are presented and the precision of the moderately thick shell theory is examined.
Keywords:spherical shell   bending   elasticity  
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