| 均匀侧压作用下圆柱体优化设计问题 |
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| 引用本文： | 李清禄,项长生.均匀侧压作用下圆柱体优化设计问题[J].甘肃科学学报,2009,21(2):134-136. |
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| 作者姓名： | 李清禄 项长生 |
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| 作者单位： | 1. 兰州理工大学,理学院,甘肃,兰州,730050
2. 兰州理工大学,土木工程学院,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金，兰州理工大学科研发展基金 |
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| 摘 要： | 讨论了变截面圆柱体在均匀侧压作用下强度优化设计问题．首先建立了圆柱体的力学模型，通过考虑一个微元体的平衡得到了圆柱体满应力计算公式，得到了圆柱体满应力设计控制方程．应用龙格库塔法解非线性方程得到了该问题的数值解，给出了圆柱体随着柱体高度的直径变化曲线．通过算例说明满应力圆柱体的体积比等截面柱体的体积有极大的优化．其结果可供工程设计人员参考．
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| 关 键 词： | 圆柱体 侧压 满应力 数值解 优化 |
Optimal Design of a Cylinder under Uniform Lateral Pressures |
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| LI Qing-lu,XIANG Chang-sheng.Optimal Design of a Cylinder under Uniform Lateral Pressures[J].Journal of Gansu Sciences,2009,21(2):134-136. |
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| Authors: | LI Qing-lu XIANG Chang-sheng |
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| Institution: | LI Qing-lu1,XIANG Chang-sheng2(1.School of Sciences,Lanzhou University of Science and Technology,Lanzhou 730050,China,2.School of Civil Engineering,) |
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| Abstract: | An optimal design of a cylinder under uniform lateral pressures is considered.First,the mechanic model of the cylinder is built.By considering the balance of an element,the stress formula is obtained.Then,the governing equation of the full stress design of the cylinder under uniform lateral pressures is presented.The numerical results of the nonlinear formula were obtained by Runge-Kutta method,and we have also obtained the curve of diameter of the example.The numerical results could be used as reference in... |
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| Keywords: | cylinder lateral pressure full stress numerical result optimal |
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