Research of the Checkerboard Pattern Suppression Method in Structural Topological Optimization
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摘要: 针对棋盘格过滤技术中单元权重系数的计算,对已有文献中的棋盘格抑制方法进行改进,提出了物理意义明确且更具一般性的公式.建立含应力约束的弹塑性拓扑优化模型,将改进的棋盘格抑制方法用于弹塑性结构拓扑优化,采用ESO(evolutionary structural optimization)法进行优化.编程实现了两个数值算例,对算例结果分析表明:改进的棋盘格抑制方法具有更好的抑制效果,且该方法并不局限于材料线性范围的拓扑优化,也适用于进行材料非线性的拓扑优化时棋盘格的抑制.Abstract: Aimed at the calculation of elements’weight coefficients in the checkerboard pattern filtering technique, a previous checkerboard pattern suppression method was improved, and a more generalized weight coefficient formula with more specific physical meanings was proposed. The topological optimization model, in which the material elastoplastic deformation was considered, was established under stress constraint conditions, and the improved checkerboard pattern suppression method was employed in the structural topological optimization process with the ESO method. Two numerical examples were implemented. The results show that the improved checkerboard pattern suppression method has better suppression effects than the previous one, and is applicable to the topological optimization of not only linearmaterial structures, but also nonlinearmaterial structures.
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