CAJ | 학술논문

针对当前连续体结构优化所面临的有限元模型与CAD模型转换困难，产品设计意图和结构工艺在优化过程中难以保持等问题，研究了面向CAD系统的连续体结构形状与拓扑优化方法。通过分析CAD几何表达和CAE网格划分特点，采用欧拉网格和扩展有限元法，建立面向结构优化的CAD/CAE模型融合机制；而后基于连续体物质导数，推导了CAD直接建模操作敏度，驱动CAD实体模型进行结构形状与拓扑优化。在此基础上，针对操作敏度量纲不一致问题，采用速度场均匀化方法，修正操作敏度，以提高优化收敛效率。通过三维CAD实体模型结构优化实例，验证了上述方法的可行性和求解效率。
침대당전련속체결구우화소면림적유한원모형여CAD모형전환곤난，산품설계의도화결구공예재우화과정중난이보지등문제，연구료면향CAD계통적련속체결구형상여탁복우화방법。통과분석CAD궤하표체화CAE망격화분특점，채용구랍망격화확전유한원법，건립면향결구우화적CAD/CAE모형융합궤제；이후기우련속체물질도수，추도료CAD직접건모조작민도，구동CAD실체모형진행결구형상여탁복우화。재차기출상，침대조작민도량강불일치문제，채용속도장균균화방법，수정조작민도，이제고우화수렴효솔。통과삼유CAD실체모형결구우화실례，험증료상술방법적가행성화구해효솔。
It is difficult to make conversion between the CAD model and the finite element model for the structural optimization, and to maintain the product design intent and structural manufacturing process during the optimization process. Therefore, a novel shape and topology optimization solution for continuum structure directly on CAD system is researched. Through analyzing the characteristic of CAD model and CAE mesh model, a scheme for integrating CAD/CAE model is developed with the employment of Euler mesh and extended finite element method. Based on the material derivative method, the structural sensitivities for direct modeling operations on the CAD systems are obtained to drive the CAD solid model to optimize the structural shape and topology. Furthermore, to alleviate the dimensional effect of different design parameters, a homogenization method is devised to modify the velocity field of various parameters so as to improve the convergence rate. Two examples of three dimensional solid CAD model are conducted to verify the proposed method. The experimental results show that the optimization method is validated and efficient on the CAD system.