叶片锻造预成形拓扑优化设计方法网格依赖性研究  

Mesh-dependence of topological evolutionaryoptimization in preform design of blade forging

作　　者：邵勇[1] 袁国惠 王永欣 杨娜 林鹏 海宇航 敖聪 SHAO Yong;YUAN Guohui;WANG Yongxin;YANG Na;LIN Peng;HAI Yuhang;AO Cong(School of Materials Science and Technology,Jiangsu University of Science and Technology,Zhenjiang 212100,China)

机构地区：[1]江苏科技大学材料科学与工程学院,镇江212100

出　　处：《江苏科技大学学报（自然科学版）》2023年第6期21-27,共7页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(51005150)。

摘　　要：影响拓扑优化方法可靠性的重要因素之一就是拓扑网格依赖性问题.文中基于拓扑渐进优化方法,利用自行开发的C#优化程序,集成了DEFORM-2D有限元模拟软件,以平均应力为单元增删准则,约束模腔填充率的同时以提高材料利用率为优化目标,通过比较不同预成形的锻造模拟成形质量,研究了拓扑单元尺寸对叶片锻件叶身型面预成形形状进化的影响.结果表明:拓扑渐进优化的预成形形状设计存在较明显的网格依赖性问题.细化网格、增加网格密度虽然降低了优化效率,但预成形外形的迭代进化步长减少,模型的几何平滑性得以提升并有利于改善锻造工艺性,预成形形状的优化质量明显提高,优化结果的可靠性显著增强.The mesh-dependence is one of the important factors influencing the reliability in utilization of a topological optimization method.Based on a topological evolutionary optimization strategy,a study on how the topological mesh sizes affect the optimization results in a forging preform design of an aerofoil section has been implemented by evaluation of different preform forged qualities.The mean stress,as the element addition and removal criterion,is employed to pursue a preform shape evolution with an improvement of the material utilization rate on the premise of a sufficient die-filling status.A self-programmed C#code integrated with DEFORM2D finite element software package is developed to conduct the optimization process.The results show that although mesh refinement decreases the optimization efficiency,an obvious improvement of performance has been obtained in the preform optimized with a small topological mesh size during the optimization process.Because a small iterative step for topological shape evolution is conducive to smoothing the optimized preform surface and simplifying the preform shape,forging defects can be reduced,and the algorithmic reliability is also strengthened.

关 键 词：拓扑优化 渐进优化 预成形设计 网格依赖性 叶片锻造 

分 类 号：TG312[金属学及工艺—金属压力加工]