一种基于均匀设计方法的结构优化新技术

Hui Zhang, Li Guo
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引用次数: 1

摘要

采用均匀设计方法进行结构优化。提出了一种基于数论的残差表算法来确定优化过程中的最优方向。通过对函数最大值的研究,验证了该方法的可行性。计算结果表明,优化解与初始迭代点无关,是整个变量范围内的最优解。将该方法应用于变高度连续梁的刚度优化。与复变微分法求解相比,本文所建立的方法得到的结果更为准确。结果表明,该方法对结构优化是有效的。
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A novel structural optimization technique via uniform design method
The uniform design method was adopted and developed to take structural optimization. A novel algorithm based on number theory, named residual table, was established to decide the optimal direction in process of optimization. The maximum of function was studied to verify its feasibility. The computed results with the developed method show the optimization solution is independent on initial iteration point and is the best solution within the whole variable range. The constructed method was applied to optimize the stiffness of a continue beam with varied height. Compared with the solution via complex variable differential method, the established method here gives more accurate result. All these show that the developed method is efficient to tackle structural optimization.
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