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一种实用、高效的结构优化设计方法研究
Study of a Practical and Efficient Structural Optimization Method
【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.
【关键词】 结构优化;
数学规划;
二次规化;
【Key words】 structural optimization; mathematical programming; quadratic programming;
【Key words】 structural optimization; mathematical programming; quadratic programming;
- 【文献出处】 北京航空航天大学学报 ,JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS , 编辑部邮箱 ,1999年06期
- 【分类号】V214.19
- 【被引频次】8
- 【下载频次】118