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THE GENERAL SOLUTION ON NONLINEAR AXIAL SYMMETRICAL DEFORMATION OF NONHOMOGENEOUS CYLINDRICAL SHELLS
In this paper,the general solution on nonlinear axial symmetrical deformation ofnonhomogeneous cylindrical shells is obtained by step reduction method.The generalformula of displacements and stress resultants,which is used to solve the bending problemsof nonhomogeneous cylindrical shells under arbitrary axial symmetric loads,is derived.Itsuniform convergence is proved.Finally,it is only necessary to solve one set of binary linearalgebraic equations.A numerical example is given at the end of the paper which indicatessatisfactory results of displacement and stress resultants can be obtained and converge tothe exact solution. 相似文献
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基于具有三个广义位移的板弯曲理论,本文导出仅含三角函数和对数1/2阶的基本解,使用起来较[2]更为方便·利用Betti互易定理,得出边界积分方程.在边界上的内力和位移均离散为常量场,并给出了在奇异积分单元上奇异积分的全部解析表达式.文末的两个算例表明,无论对厚板还是薄板,本文提出的边界元素法均给出较满意的结果. 相似文献
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