A Bionic Approach for Topology Optimization of Continuum Structures Based on Reaction-diffusion Model
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摘要: 通过反应-扩散模型和有限元方法的耦合建立了骨重建数学模型。通过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材料被吸收过程,对连续体结构提出仿生拓扑优化计算方法。再次对连续体结构拓扑优化中广泛被应用的Michell型结构进行拓扑优化计算,以及将其结果与其它几种拓扑优化方法进行比较,验证了文中方法的有效性。最终在两种不同边界条件下对长悬臂梁模型进行拓扑优化计算,获得规则性和对称性的拓扑形式。Abstract: Firstly the reaction-diffusion model is coupled with finite element method to establish a simple mathematical model of bone remodeling. Secondly the bone remodeling process is translated into material formation and absorption process by using the pixel element adding and removing techniques,and a new bionic algorithm for topology optimization of two dimensional continuum structures is proposed. Michell type bridge structure,widely used as example in continuum structural topology optimization,is carried out by using presented bionic algorithm and the results are compared with other topology optimization techniques to confirm the validity of the proposed method. Finally,a long cantilever beam structure under two different boundary conditions is carried out by using presented algorithm; regularity and symmetry topology are obtained. This result further explains the feasibility and reliability of the proposed bionic algorithm.
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Key words:
- algorithms /
- bone remodeling /
- bone /
- boundary conditions /
- continuum structures
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