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中文摘要：
研究功能梯度材料圆柱壳在内压作用下的弯曲变形问题.基于经典线性壳体理论,假设功能梯度圆柱壳的材料性质为沿厚度方向按幂函数连续变化的形式,推导出以位移为基本未知量的功能梯度材料薄圆柱壳轴对称变形的控制方程.采用解析方法求解,得到圆柱壳轴对称弯曲的解析解.分别在两端固支和两端简支边界条件下,给出圆柱壳的变形和内力的分布曲线,分析和讨论材料梯度变化参数对变形和内力的影响.结果表明,在内压作用下,两端简支和两端固支壳的变形随着体积分数指数的增加而减小.
英文摘要：
The deformation of cylindrical shell with functional gradient and subjected to internal pressure was studied.Governing equations of axi-symmetrical bending of the shells with axial and radial displacements as unknown variables were derived on the basis of classical linear shell theory.It was assumed in the analysis that the material properties of the shell would vary in the form of a power function of radial coordinates.Obtain analytical solution of the problem was obtained by using analytic method.For the shells with simple supports and fixed supports at opposite ends, the characteristic curves of deformation and internal force distribution were given. The effects of the gradient parameter on the deformation and internal forces of the shells were analyzed and discussed. The result showed that the deformation of the shells with simply support and fixed boundary would decrease with the decrease of the volumetric fraction of the shell.
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Three-dimensional analysis for transient coupled thermoelastic response of a functionally graded rec
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