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Topology optimization of continuum structures under buckling constraints

机译:屈曲约束下连续体结构的拓扑优化

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This paper presents a study on topology optimization of continuum structures under buckling constraints. New algorithms are developed for minimization of structural compliance considering constraints on volume and buckling load factors. The SIMP (Solid Isotropic Material with Penalization) material model is employed and nodal relative densities are used as topology design variables. A new approach based on the eigenvalue shift and pseudo mode identification is proposed for eliminating the effect of pseudo buckling modes. Two-phase optimization algorithms are also proposed for achieving better optimized designs. Numerical examples are presented to illustrate the effectiveness of the new methods. (C) 2015 Elsevier Ltd. All rights reserved.
机译:本文提出了在屈曲约束下连续体结构拓扑优化的研究。考虑到对体积和屈曲载荷因子的约束,开发了新的算法以使结构的柔顺性最小。采用SIMP(带罚分的固体各向同性材料)材料模型,并将节点相对密度用作拓扑设计变量。提出了一种基于特征值偏移和伪模式识别的新方法,以消除伪屈曲模式的影响。还提出了两阶段优化算法,以实现更好的优化设计。数值例子说明了新方法的有效性。 (C)2015 Elsevier Ltd.保留所有权利。

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