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首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.1; 20051026-28; Nanjing(CN) >Evolutionary Topology Optimization with Replaceable Element of Orthotropic Cellular Microstructures
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Evolutionary Topology Optimization with Replaceable Element of Orthotropic Cellular Microstructures

机译：正交各向异性细胞微结构可替换元素的演化拓扑优化

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摘要

In the present paper, design problems of maximizing the global stiffness or natural frequency of structures are considered subject to the material volume constraint. A new element replaceable method (ERPM) is proposed for evolutionary topology optimization of structures. Compared with existing versions of evolutionary structural optimization (ESO) methods, contributions are twofold. On the one hand, a new iteration procedure is established for the element deletion/growth procedure. The deletion of an element means that a solid element is replaced with an orthotropic cellular microstructure (OCM) aiming particularly at preventing artificial modes in dynamic topology optimization. The growth of an element means that an OCM is replaced with a solid element of full materials. In fact, both operations are interchangeable depending upon how the value of element sensitivity is, i.e., the element efficiency with respect to the objective function. On the other hand, a new checkerboard control algorithm is proposed to work together with the above procedure. By identifying local checkerboards over the entire design domain, the algorithm will fill or delete elements depending on the prescribed threshold of sensitivity values. Numerical results show that the ERPM method is efficient and a clear and valuable material pattern can be designed for both static and dynamic problems.
机译：在本文中，最大化整体刚度或结构固有频率的设计问题被认为受材料体积约束。提出了一种新的元素可替换方法（ERPM），用于结构的演化拓扑优化。与现有版本的进化结构优化（ESO）方法相比，其贡献是双重的。一方面，为元素删除/增长过程建立了新的迭代过程。元素的删除意味着将固态元素替换为正交各向异性的细胞微结构（OCM），其主要目的是防止动态拓扑优化中的人工模式。元素的增长意味着将OCM替换为完整材料的固体元素。实际上，这两种操作是可互换的，这取决于元素灵敏度的值如何，即相对于目标函数的元素效率。另一方面，提出了一种新的棋盘控制算法，可以与上述过程协同工作。通过识别整个设计域中的局部棋盘，该算法将根据规定的敏感度阈值填充或删除元素。数值结果表明，ERPM方法是有效的，并且可以为静态和动态问题设计清晰而有价值的材料模式。

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