非均匀侧压作用下圆柱壳的强度优化设计研究(英文)

Optimal Design of Cylindrical Shells on Strength under Non-uniform Lateral Pressure

研究变厚度圆柱壳在任意轴对称侧向分布荷载作用下、体积保持不变时的强度优化设计问题。采用阶梯折算法,用传递矩阵导出了变厚度圆柱壳的初参数解的显式表达式。根据Huber-Mises-Hencky强度准则,将变厚度圆柱壳的强度优化转化为极小化当量应力的非线性规划问题,并以投影梯度法对本问题进行了的优化计算;对一些典型算例的计算分析证明本文方法的可靠性。

A kind of strength optimal design of a cylindrical shell with axisymmetrical variable thickness and under lateral pressure is considered.The object is to find optimal thickness to minimize the maximum reduced stress. By use of the stepped reduction method,the equilibrium equations of the cylindrical shell under arbitrarily axisymmetrically distributed load are solved and its explicit solutions are obtained in the form of transition matrix. Based on a proper failure hypothesis, the optimal problem with the constraint of constant volume is reduced to a nonlinear programming problem.This procedure converges quickly and numerical results show the effectiveness of the method.Finally,the analytical considerations are presented and some appropriate shell test cases are expected.