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多层次联合结构优化问题,通常含有不同种类的设计变量,例如,当构件的截面和结构的形状同时优化时,设计变量就可分为截面类设计变量{X_(?)}和几何类设计变量{X_g}。对这类问题,本文提出一个有效的求解策略,优化过程的每一步迭代都由两个子问题组成:(1)优化截面类设计变量{X_8}以减少重量,使约束趋于临界:(2)优化几何类设计变量{X_g}以放松约束。为下一轮迭代提供条件。本文的方法收敛较快且具有较好的稳定性。
Multi-level joint structure optimization problems usually contain different kinds of design variables. For example, when the cross-section of a component and the shape of a structure are optimized at the same time, the design variables can be divided into cross-section design variables {X_(?)} and geometric design variables. {X_g}. For this type of problem, this paper proposes an effective solution strategy. Each iteration of the optimization process consists of two sub-problems: (1) Optimization of cross-section design variables {X_8} to reduce weight, making the constraints tend to be critical: (2) Optimize the geometry class design variable {X_g} to relax the constraint. Provide the conditions for the next iteration. The method of this paper converges faster and has better stability.