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非均匀侧压作用下圆柱壳的强度优化设计研究
引用本文:梁斌,张淑芬,NA.NODA,张伟.非均匀侧压作用下圆柱壳的强度优化设计研究[J].船舶力学,2006,10(3):123-129.
作者姓名:梁斌  张淑芬  NA.NODA  张伟
作者单位:1. 河南科技大学建筑工程学院,河南,洛阳,471003;Kyushu Institute of Technology Kitakyushu-city 804-8550 Japan
2. 河南科技大学建筑工程学院,河南,洛阳,471003
3. Kyushu Institute of Technology Kitakyushu-city 804-8550 Japan
摘    要: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.

关 键 词:圆柱壳  侧向压力  强度优化  阶梯折算法  当量应力
文章编号:1007-7294(2006)03-0123-07
收稿时间:2005-11-01
修稿时间:2005年11月1日

Optimal Design of Cylindrical Shells on Strength under Non-uniform Lateral Pressure
LIANG Bin,ZHANG Shu-fen,NA.NODA,ZHANG Wei.Optimal Design of Cylindrical Shells on Strength under Non-uniform Lateral Pressure[J].Journal of Ship Mechanics,2006,10(3):123-129.
Authors:LIANG Bin  ZHANG Shu-fen  NANODA  ZHANG Wei
Institution:College of Architectural Engineering, Henan University of Science and Technology, Luoyang 471003, China;Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu-city, 804-8550, Japan;College of Architectural Engineering, Henan University of Science and Technology, Luoyang 471003, China;Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu-city, 804-8550, Japan;College of Architectural Engineering, Henan University of Science and Technology, Luoyang 471003, China
Abstract: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.
Keywords:cylindrical shell  strength design  stepped reduction method  reduced stress  optimization
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