几何规划原算法对含多变参数梁单元结构优化设计的统一处理

Unified Approach to Optimum Design of Structures Containing Beam with Multi-Design Parameters by Using Primal Algorithm of Geometric Programming

对于含空间梁单元的复杂结构,给出了同单参数模型不同统一处理途径:采用Duffin缩并公式形成截面多变参数与截面力学量的函数关系,运用分部与整体两级优化策略,并使用几何规划原算法的统一解法。数值算例表明本文方法的有效性。

For complex structure containing spacial beam element, we propose an unified approach of multi-design parameters instead of single one, which apply optimal strategy of two level about partial and whole optimization and unified primal solution of geometric programming by forming function's relations between multi-design parameters and mechanical measure of sectional area by using Duffin condensation formula. Numerical examples show that the computational efficiency of the method presented in the paper.