基于种群动力学模型的连续体结构拓扑优化仿生方法

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (13) : 98-105.

论文

基于种群动力学模型的连续体结构拓扑优化仿生方法

开依沙尔.热合曼1,2，热合买提江.依明江1,2 ，买买提明.艾尼1

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A Bionic Approach for Topology Optimization of Continuum Structures Based on Population Dynamics Model

KAYSAR.Rahman1,2, RAHMATJAN. Imin1,2 , MAMTIMIN.Geni1,

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摘要

通过种群动力学模型和有限元方法的耦合建立了骨骼重建数学模型，然后用像素单元的添加和删除准则把骨重建过程转化为材料形成和吸收过程，对连续体结构提出了仿生拓扑优化计算方法。通过对两个连续体结构拓扑优化中被广泛应用的典型数值算例进行拓扑优化计算，并将其结果与其它几种拓扑优化方法进行比较，验证了本文方法的有效性。最终在三种不同边界条件下对长悬臂梁模型进行拓扑优化计算，以及在四种不同边界条件下拱桥模型进行拓扑优化计算，获得规则性和对称性的拓扑形式，该结果进一步说明了本文仿生方法的合理性和可行性。

Abstract

Firstly population dynamics model is coupled with finite element method to establish simple mathematical model of bone remodeling. Secondly the bone remodeling process is translated to material formation and resorption process by using the element adding and removing techniques, a new bionic approach for topology optimization of continuum structures is proposed. Two widely used examples in continuum structural topology optimization are carried out by using presented bionic approach and results are compared with other topology optimization techniques to confirm the validity of the proposed method. Finally, a long cantilever beam structure under three different boundary conditions and bridge type structure under four different boundary conditions are respectively carried out by using presented approach and regularity and symmetry topology are obtained. This result further explains the feasibility and reasonability of the proposed bionic approach.

导出引用

开依沙尔.热合曼;热合买提江.依明江;;买买提明.艾尼. 基于种群动力学模型的连续体结构拓扑优化仿生方法[J]. 振动与冲击, 2014, 33(13): 98-105

KAYSAR.Rahman;RAHMATJAN. Imin;;MAMTIMIN.Geni;. A Bionic Approach for Topology Optimization of Continuum Structures Based on Population Dynamics Model[J]. Journal of Vibration and Shock, 2014, 33(13): 98-105