基于物理规划的起重机主梁稳健优化设计

Robust Optimization of the Main Girder in Crane Based on Physical Programming

在机械优化设计中考虑载荷等不确定性因素的影响,用凸集模型描述设计中存在的不确定性,采用物理规划的方法构造不确定性参数的不满意度函数,通过极小化不满意度函数最差值的方法来实现目标函数的稳健性,通过最坏情况分析方法来实现约束函数的稳健性,使目标函数和约束函数都能实现稳健性。建立基于物理规划的稳健可靠性优化模型,这种模型是一种嵌套的优化模型,采用分层方法对其求解。以起重机主梁优化设计为例说明这种模型的合理性。

Considering the impact of uncertain factors such as loads in optimal design, so they are described with convex models. Using the physical progranming method constructs the unsatisfactory degree functions of the uncertain factors. The robustness of the objective functions is realized by minimizing the maximum of the t,nsatisfactory degree functions. The robustness of the restriction functions is achieved by means of the worst condition analysis method. The robustness of both the objective and the restriction functions is, carried out to the same time. The robust reliability optimization model is established based on the physical programning. The model is a nested optimal problem. The solution is introduced by the layered method. The optimal design of main girder in the crane demonstrates thai the proposed method is reasonable.