考虑3D打印残余变形的结构拓扑优化设计

TOPOLOGY OPTIMIZATION OF STRUCTURES CONSIDERING RESIDUAL DEFORMATION IN METAL 3D PRINTING

  • 摘要: 3D打印金属粉末快速熔、凝过程中反复剧烈的温度变化不可避免产生残余变形,过大的残余形变积累,可导致打印工件变形、扭曲甚至开裂、失效。该研究利用拓扑优化方法,在结构设计阶段考虑此 “制造约束”,以实现3D打印过程残余变形的有效控制。通过对相邻2个打印层金属粉末熔融过程进行弹塑性热-力耦合有限元分析,提取等效的固有应变载荷,实现金属3D打印过程高效模拟及残余变形快速预测,并进行试验验证;基于浮动映射拓扑优化(Floating projection topology optimization, FPTO)方法,引入整体残余变形P范数,推导3D打印过程残余变形灵敏度,提出结构柔度和3D打印残余变形最小化的多工况多目标优化算法,满足设计性能的同时,提高制造性能;通过二维和三维实例,验证所提方法的有效性。

     

    Abstract: Severe temperature changes during the rapid melting and solidification of 3D printing metal powder inevitably produce residual deformations. The accumulated excessive residual deformation may lead to deformation, distortion, even cracking and failure while printing workpiece. By considering this “manufacturing constraints” of metal 3D printing in the structural design stage, the residual deformation in the 3D printing process can be controlled effectively upon the topology optimization method. Through the elastoplastic thermo-mechanical coupling finite element analysis of the metal powder melting process in two adjacent printing layers, the equivalent inherent strain load in printing process is extracted, and then the 3D printing process simulation and residual deformation prediction can be quickly realized. A followed 3D printing experiment is carried out to validate the prediction method. Through introducing the P-norm of global residual deformation and deducing its sensitivity, a multi-load case multi-objective optimization algorithm is proposed to improve the design and manufacturing performances, namely minimize structural compliance and 3D printing residual deformation simultaneously based on the floating projection topology optimization (FPTO) method. At last, several 2D and 3D examples are conducted to demonstrate the effectiveness of the method proposed.

     

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