Study of a Practical and Efficient Structural Optimization Method
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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.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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Key words:
- structural optimization /
- mathematical programming /
- quadratic programming
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1. 魏权龄,王日爽,徐 兵.数学规划引论.北京:北京航空航天大学出版社, 1991 2. 夏人伟,张永顺.结构优化设计基础.北京:航空专业教材编审组,1984 3. 刘天丰.用于工程设计的几何规划:[学位论文].北京:北京航空航天大学飞行器设计与应用力学系, 1996 -
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