一种工程结构的鲁棒优化设计方法

Robust Optimization Design Method for Engineering Structures

在结构优化的过程中结合鲁棒设计的思想 ,考虑了不确定因素的影响 ,在取得目标的最优解的同时 ,使该目标在可行区域内对变量的变化不敏感 .针对目标函数及约束函数的鲁棒性 ,将工程结构鲁棒优化问题描述成双目标优化问题 ,采用带权无穷范数理想点法求解该双目标鲁棒优化问题的 Pareto最优解 .两杆支架的设计结果表明 ,鲁棒优化设计的结构不仅具有更高的质量 ,且在设计时具有很强的灵活性 .

A robust design was developed to obtain an optimum value insensitive to variations on the variables within the feasible region by consideration of the uncertainties. Considering both the robustness of an objective function and the robustness of a constraint function, the engineering structural robust design was described as a bi-objective robust optimization problem. The weighed ideal point approach was used to generate Pareto solution. The results of the two-bar truss show that the developed robust optimization method offers high quality structure and more flexibility in addressing the multiple aspects robust design.