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。
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.
出处
《工程力学》
EI
CSCD
1996年第1期58-65,共8页
Engineering Mechanics
基金
国家自然科学基金
关键词
球壳
弯曲
弹性理论
简支壳
spherical shell, bending, elasticity
