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采用拓扑优化技术进行柔顺机构设计成功与否在很大程度上取决于所采用的机构几何表述方式.本文提出了一种全新的基于成对曲线组合(对线组)的表述方式.这种几何表述方式,首先确定机构的输入输出区域.虽然在初始阶段不知道机构在设计域的分布,但是载荷加载需要借助机构输入输出点,因此必须有至少一个加载区域,一个支撑区域和一个输出区域.将这些输入输出区域利用成对Bezier曲线直接或间接连接起来形成一种可以承载负荷的柔顺机构.这种几何表述方式生成的机构边界为曲线函数之组合,解决了拓扑优化设计中的锯齿和模糊边界问题,并且可以同时进行形状和拓扑优化并且保持结构边界的光滑,没有棋盘格现象和中间密度单元等.基于对线组进行柔顺机构表征,会产生一些复杂的结构,基于FG-FEM有限元法进行仿真分析求得响应.研究柔顺机构拓扑优化设计理论与方法,采用图的形式对机构对象进行编码,利用遗传算法的全局寻优能力寻找全局最优解,数据算例的结果表明,提出的方法正确有效.
The success or failure of using topological optimization techniques to design compliant structures depends very much on the way in which the geometry is represented.This paper presents a new approach based on pairs of curves (pairs) The first way is to define the I / O area of the mechanism.It is not necessary to know the distribution of the mechanism in the design domain at the initial stage, but the load loading needs the input / output point of the mechanism. Therefore, there must be at least one loading area, one supporting area and one output area. These input / output regions are directly or indirectly connected by be-Bezier curves to form a compliant mechanism that can carry loads.The mechanism boundary generated by this geometric expression is a combination of curve functions, which solves the problem of jagged and fuzzy in topological optimization design Boundary problems, and can simultaneously shape and topology optimization and maintain the structure of the boundaries of the smooth, no checkerboard phenomenon and intermediate density units, etc. Based on the line group of flexible mechanism characterization, there will be some complex structure, based on FG-FEM finite element Method to obtain the response of simulation analysis Theory and Method, the form of the mechanism of FIG object is encoded using a genetic algorithm to find the global optimum global optimal solution, the resulting data examples show that the proposed method is correct and effective.