基于wolf法则的连续体结构仿生拓扑优化方法

发布时间：2018-03-17 15:30

本文选题：Wolff法则　切入点：反应-扩散模型　出处：《机械设计与制造》2014年09期 　论文类型：期刊论文

【摘要】：基于生物力学中的Wolff法则指的是骨具有适应力学环境的功能,它将根据周围的力学环境调整自身的拓扑结构和形状,以最小的重量实现最优的结构和最大的强度。将基于反应扩散方程的骨骼重建模型通过有限元方法和像素单元的添加和删除准则对连续体结构拓扑优化设计提出了基于Wolff法则的仿生拓扑优化计算方法。对连续体结构拓扑优化中被广泛应用的短悬臂梁结构进行拓扑优化计算,以及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。
[Abstract]:Based on the Wolff rule in biomechanics, the bone has the ability to adapt itself to the mechanical environment, and it adjusts its topology and shape according to the surrounding mechanical environment. The optimal structure and maximum strength are achieved with minimum weight. The topology optimization design of continuum structure is proposed by means of finite element method and pixel element addition and deletion criterion, which is based on the reaction-diffusion equation. The bionic topology optimization method based on Wolff's rule is presented. The topology optimization of the short cantilever structure which is widely used in the topology optimization of continuum structure is carried out. The results are compared with other topology optimization methods, and the effectiveness of the proposed method is verified.
【作者单位】：新疆大学机械工程学院;新疆大学数学与系统科学学院;
【基金】：国家自然科学基金面向项目(50775193,51075346)
【分类号】：R318.01

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