摘要
介绍了一种高架桥式重型龙门加工中心横梁从初始构型设计到最终确定板件具体尺寸的优化设计方法,首先针对高架桥式重型龙门加工中心横梁承受随动载荷的工况,以及焊接工艺及操作空间的制造限制条件,建立基于变密度法SIMP插值的拓扑优化数学模型,采用启发式调整法对变量进行迭代更新的优化准则法(optimality criteria,OC)算法,利用灵敏度过滤技术抑制棋盘格、增强网格独立性,借助MATLAB编程进行结构拓扑优化,得到横梁初始构型;再以横梁主要板件厚度为设计变量,建立响应面模型,计算刚度和固有频率对板件厚度的灵敏度;采用带有精英策略的第二代非劣排序遗传算法NSGA-II对响应面模型进行多目标优化,在Pareto解集中选出最优解,并基于灵敏度分析对设计变量进行取整修正,优化后的横梁动静态性能满足工程要求,目前已经应用到工程实践中,具有很强实用性.
An optimum design method of gantry machining center cross beam was introduced from the initial configuration design to the final determination of the reinforcement bar specific size.The mathematical model of topology optimization based on variable density method was first established in which the moving load was considered.The iterative formula was deduced with optimality criteria method and a filtering function with volume constraint was imported to solve the problem of checkerboard and mesh independence.After the preparation of MATLAB program,the initial configuration of the beam was obtained.Then,the response surface model was established to calculate the sensitivity of stiffness and natural frequency to the thickness of the main plate.NSGA-Ⅱwith elitist strategy was used to optimize the response surface model,and after selection of the optimal solution in Pareto solution set,rounding correction of the design variables based on sensitivity analysis was implemented.By comparing with the original design data,the reliability and feasibility of the method in this paper were proved,which provides theoretical guidance for the optimization design of cross beam of gantry machining center,and also provides reference for the optimization design of other similar structures.
作者
李志杰
蔡力钢
刘志峰
郭铁能
LI Zhijie;CAI Ligang;LIU Zhifeng;GUO Tieneng(College of Mechanical Engineering and Applied Electronics Technology,Beijing University of Technology,Beijing 100124,China;Beijing Key Laboratory of Advanced Manufacturing Technology,Beijing 100124,China;College of Mechanical and Electronics Engineering,North China Institute of Aerospace Engineering,Langfang 065600,Hebei,China)
出处
《北京工业大学学报》
CAS
CSCD
北大核心
2020年第5期440-447,共8页
Journal of Beijing University of Technology
基金
国家科技重大专项资助项目(2014ZX04001-171)
国家自然科学基金资助项目(51575009)
河北省高等学校科学技术研究项目(QN2019193)。
关键词
高架桥式
龙门横梁
优化设计
变密度法
响应面模型
多目标优化
viaduct type
cross beam
optimization design
variable density method
response surface model
multi-objective optimization
