| 一种实用、高效的结构优化设计方法研究 |
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| 引用本文： | 张玉珠,张亚.一种实用、高效的结构优化设计方法研究[J].北京航空航天大学学报,1999,25(6):647-650. |
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| 作者姓名： | 张玉珠 张亚 |
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| 作者单位： | 北京航空航天大学 宇航学院 |
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| 摘 要： | 采用泰勒(Taylor)公式将原数学规划问题中的目标函数归并成对数形式下的二次函数,并采用丢芬(Duffin)公式将原数学规划问题中的约束函数归并成单项式,再取对数,使其转化成线性函数,形成二次规划问题.然后用广义乘子法来求解二次规划问题.最后用一实例对该方法进行验证.
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| 关 键 词： | 结构优化 数学规划 二次规化 |
| 收稿时间： | 1999-05-08 |
Study of a Practical and Efficient Structural Optimization Method |
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| Zhang Yuzhu,Zhang Ya.Study of a Practical and Efficient Structural Optimization Method[J].Journal of Beijing University of Aeronautics and Astronautics,1999,25(6):647-650. |
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| Authors: | Zhang Yuzhu Zhang Ya |
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| Institution: | Beijing University of Aeronautics and Astronautics,School of Astronautics |
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| Abstract: | Original mathematical programming is approximated with quadratic programming which is solved by generalized multiplier method. The following approximating approaches are utilized: 1.Talor formula is used to condense the object function into a second order function in logarithmic form. 2.Duffin approximation is applied to condense constraints. At last, a example is testified and shows that this method is simple, feasible and efficient. |
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| Keywords: | structural optimization mathematical programming quadratic programming |
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