基于ICM法的龙门式加工中心焊接横梁结构设计与优化
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摘要
目的分析异型石材锯铣复合加工中心的工况,提出一种焊接式横梁的结构设计与优化方法,以提高关键部件横梁的动、静态特性.方法将横梁焊接工作过程中的各肋板作为独立单元,建立数学模型,设置边界条件,应用连续体ICM拓扑优化方法,对横梁肋板结构优化和肋板的分布进行设计规划.结果应用ICM法改进设计的异型石材锯铣加工中心横梁,在保证加工精度要求的前提下,其整体质量可以降低24.18%,生产成本较低约6.91%.结论该ICM拓扑优化方法有效地降低了优化求解规模和约束数目,计算效率得到提高,打破了传统经验设计的单一化,为今后的制造业结构轻量化设计提供了一种新思路.
The aim of this paper is to analyze the working condition of the multi-type stone sawing milling center,study the structure design and optimization method of a welded beam,and improve the dynamic and static characteristics of key component beams. Therefore,a kind of welding crossbeam structure design and optimization method are studied,through each floor crossbeam welding in the process of working as an independent unit,establish the mathematical model,and use continuum ICMtopology optimization method,to optimize the structure of the crossbeam floor and plan the distribution of floor. Applying this method to improve design of special shape stone and milling machining center crossbeam,and meeting the machining accuracy,its overall quality reduce24. 18%,and reduce production costs by about 6. 91%. This ICMtopology optimization methodreduces the size of optimization and the number of constraints,improves the computational efficiency,and breaks the simplification of traditional empirical design,which provides a newidea for the light quantitative design of manufacturing structure in the future.
The aim of this paper is to analyze the working condition of the multi-type stone sawing milling center,study the structure design and optimization method of a welded beam,and improve the dynamic and static characteristics of key component beams. Therefore,a kind of welding crossbeam structure design and optimization method are studied,through each floor crossbeam welding in the process of working as an independent unit,establish the mathematical model,and use continuum ICMtopology optimization method,to optimize the structure of the crossbeam floor and plan the distribution of floor. Applying this method to improve design of special shape stone and milling machining center crossbeam,and meeting the machining accuracy,its overall quality reduce24. 18%,and reduce production costs by about 6. 91%. This ICMtopology optimization methodreduces the size of optimization and the number of constraints,improves the computational efficiency,and breaks the simplification of traditional empirical design,which provides a newidea for the light quantitative design of manufacturing structure in the future.
引文
[1]胡喜磊.焊接结构件的疲劳分析与研究[D].太原:太原科技大学,2013.(HU Xilei.Fatigue analysis and research of welding structure[D].Taiyuan:Taiyuan University of Science and Technology,2013.)
[2]夏天翔,姚卫星.连续体结构拓扑优化方法评述[J].航空工程进展,2011(1):1-11.(XIA Tianxiang,YAO Weixing.Reviewon continum structure of topology optimization method[J].Aviation engineering progress,2011(1):1-11.)
[3]DORMIEUX L,LEMARCHAND E,KONDO D,et al.Strength criterion of porous media:application of homogenization techniques[J].Journal of rock mechanics and geotechnical engineering,2017,9(1):62-73.
[4]王思文,陈敏志,张旭明.基于自适应有限元的双向渐进结构优化法[J].科学技术与工程,2013,13(13):3786-3789.(WANG Siwen,CHEN Minzhi,ZHANG Xuming.Bi-directional evolutionary structural optimization method based on adaptive finite element analysis[J].Science technology and engineering,2013,13(13):3786-3789.)
[5]谢亿民,左志豪,吕俊超.利用双向渐进结构优化算法进行建筑设计[J].时代建筑,2014(5):20-25.(XIE Yimin,ZUO Zhihao,LüJunchao.Architectural design through bi-directional evolutionary structural optimization[J].Time architecture,2014(5):20-25.)
[6]隋允康,边炳传.屈曲与应力约束下连续体结构的拓扑优化[J].工程力学,2008(8):6-12.(SUI Yunkang,BIAN Bingchuan.Topology optimization of continuum structures under buckling and stress constraints[J].Engineering mechanics,2008(8):6-12.)
[7]易桂莲.移植ICM方法拓展的结构拓扑优化SIM P方法[D].北京:北京工业大学,2014.(YI Guilian.Expanded SIMP method for structural topology optimization by transplanting ICM method[D].Beijing:Beijing University of Technology,2014.)
[8]尚珍.结构拓扑优化中不同过滤函数间关系的探讨[J].力学与实践,2011(2):52-57.(SHANG Zhen.Structural topology optimization in the relationship between different filter function[J].M echanics and practice,2011(2):52-57.)
[9]李芳,张建润,卢熹.基于ICM法的零件拓扑优化方法应用研究[J].电子机械工程,2008(1):40-42.(LI Fang,ZHANG Jianrun,LU Xi.Application study of ICM based topology optimization[J].Electronic mechanical engineering,2008(1):40-42.)
[10]MU Xuan,ZHANG Ke,ZHAO Dehong.The topological optimization design of cross beams structure of shaped stone turning-milling CNC(HTM50200)[J].Advanced matericals research,2013,697:2725-2728
[11]吴玉厚,赵德宏.异型石材数控加工装备与技术[M].北京:科学出版社,2011.(WU Yuhou,ZHAO Dehong.Special shape stone CNC processing equipment and technology[M].Beijing:Science Press,2011.)
[12]王晓煜,贾振元,杨帆.龙门加工中心横梁部件的拓扑优化设计与分析[J].制造技术与机床,2009,11:64-68.(WANG Xiaoyu,JIA Zhenyuan,YANG Fan.The topological optimization design and analysis forgantry machine tool crossbeam component[J].M anufacturing technology and machine tool,2009,11:64-68.)
[13]饶柳生,侯亮,潘勇军.基于拓扑优化的机床立柱筋板改进[J].机械设计与研究,2010,26(1):87-92.(RAO Liusheng,HOU Liang,PAN Yongjun.Improvement of the rib plate in machine tools column based on topology optimization[J].M achine design and research,2010,26(1):87-92.)
[14]SOKOLOWSKI J,6)ZOCHOWSKI A.Shape and topology sensitivity analysis for elastic bodies with rigid inclusions and cracks[J].Advanced structured materials,2010,1:75-98.
[15]张森.基于灵敏度和有限元分析的龙门加工中心横梁结构轻量化设计[D].江苏:南通大学,2014.(ZHANG Sen.Light weight design of gantry machining center crossbeam based on sensitivity and finite element analysis[D].Jiangsu:Nantong University,2014.)
[16]王珍,康琳,单洪,等.基于随机几何的网络拓扑密度控制模型研究[J].计算机应用研究,2017,34(1):170-172+176.(WANG Zhen,KANG Lin,SHAN Hong,et al.Research on network topology density control based on stochastic geometry[J].Application research of computer,2017,34(1):170-172+176.)
[17]苏延浩.立角焊自动焊接机床结构设计[D].镇江:江苏科技大学,2015.(SU Yanhao.Structure design of an automatic machine for vertical fillet welding[D].Zhenjiang:Jiangsu University of Science and Technology,2015.)
[18]吴玉厚,吴岗,张珂,等.异型石材多功能数控加工中心关键部件的模态分析[J].沈阳建筑大学学报(自然科学版),2009,25(1):165-169.(WU Yuhou,WU Gang,ZHANG Ke,et al.M odal analysis of key components of multifunction CNC machine tool for irregularity stone[J].Journal of Shenyang jianzhu university(natural science),2009,25(1):165-169.)
[19]李希朝.基于正交实验的花岗石高效锯切技术实验研究[D].济南:山东大学,2010.(LI Xichao.The orthogonal experiment of granite sawing experiment research based on technology of high efficiency[D].Ji'nan:Shandong University,2010.)
[20]秦路,罗宇.基于有限元模型的焊接结构成本计算方法[J].热加工工艺,2016,(15):208-211.(QIN Lu,LUO Yu.Cost estimation of welding structure based on finite element model[J].Hot working technology,2016(15):208-211.)
[2]夏天翔,姚卫星.连续体结构拓扑优化方法评述[J].航空工程进展,2011(1):1-11.(XIA Tianxiang,YAO Weixing.Reviewon continum structure of topology optimization method[J].Aviation engineering progress,2011(1):1-11.)
[3]DORMIEUX L,LEMARCHAND E,KONDO D,et al.Strength criterion of porous media:application of homogenization techniques[J].Journal of rock mechanics and geotechnical engineering,2017,9(1):62-73.
[4]王思文,陈敏志,张旭明.基于自适应有限元的双向渐进结构优化法[J].科学技术与工程,2013,13(13):3786-3789.(WANG Siwen,CHEN Minzhi,ZHANG Xuming.Bi-directional evolutionary structural optimization method based on adaptive finite element analysis[J].Science technology and engineering,2013,13(13):3786-3789.)
[5]谢亿民,左志豪,吕俊超.利用双向渐进结构优化算法进行建筑设计[J].时代建筑,2014(5):20-25.(XIE Yimin,ZUO Zhihao,LüJunchao.Architectural design through bi-directional evolutionary structural optimization[J].Time architecture,2014(5):20-25.)
[6]隋允康,边炳传.屈曲与应力约束下连续体结构的拓扑优化[J].工程力学,2008(8):6-12.(SUI Yunkang,BIAN Bingchuan.Topology optimization of continuum structures under buckling and stress constraints[J].Engineering mechanics,2008(8):6-12.)
[7]易桂莲.移植ICM方法拓展的结构拓扑优化SIM P方法[D].北京:北京工业大学,2014.(YI Guilian.Expanded SIMP method for structural topology optimization by transplanting ICM method[D].Beijing:Beijing University of Technology,2014.)
[8]尚珍.结构拓扑优化中不同过滤函数间关系的探讨[J].力学与实践,2011(2):52-57.(SHANG Zhen.Structural topology optimization in the relationship between different filter function[J].M echanics and practice,2011(2):52-57.)
[9]李芳,张建润,卢熹.基于ICM法的零件拓扑优化方法应用研究[J].电子机械工程,2008(1):40-42.(LI Fang,ZHANG Jianrun,LU Xi.Application study of ICM based topology optimization[J].Electronic mechanical engineering,2008(1):40-42.)
[10]MU Xuan,ZHANG Ke,ZHAO Dehong.The topological optimization design of cross beams structure of shaped stone turning-milling CNC(HTM50200)[J].Advanced matericals research,2013,697:2725-2728
[11]吴玉厚,赵德宏.异型石材数控加工装备与技术[M].北京:科学出版社,2011.(WU Yuhou,ZHAO Dehong.Special shape stone CNC processing equipment and technology[M].Beijing:Science Press,2011.)
[12]王晓煜,贾振元,杨帆.龙门加工中心横梁部件的拓扑优化设计与分析[J].制造技术与机床,2009,11:64-68.(WANG Xiaoyu,JIA Zhenyuan,YANG Fan.The topological optimization design and analysis forgantry machine tool crossbeam component[J].M anufacturing technology and machine tool,2009,11:64-68.)
[13]饶柳生,侯亮,潘勇军.基于拓扑优化的机床立柱筋板改进[J].机械设计与研究,2010,26(1):87-92.(RAO Liusheng,HOU Liang,PAN Yongjun.Improvement of the rib plate in machine tools column based on topology optimization[J].M achine design and research,2010,26(1):87-92.)
[14]SOKOLOWSKI J,6)ZOCHOWSKI A.Shape and topology sensitivity analysis for elastic bodies with rigid inclusions and cracks[J].Advanced structured materials,2010,1:75-98.
[15]张森.基于灵敏度和有限元分析的龙门加工中心横梁结构轻量化设计[D].江苏:南通大学,2014.(ZHANG Sen.Light weight design of gantry machining center crossbeam based on sensitivity and finite element analysis[D].Jiangsu:Nantong University,2014.)
[16]王珍,康琳,单洪,等.基于随机几何的网络拓扑密度控制模型研究[J].计算机应用研究,2017,34(1):170-172+176.(WANG Zhen,KANG Lin,SHAN Hong,et al.Research on network topology density control based on stochastic geometry[J].Application research of computer,2017,34(1):170-172+176.)
[17]苏延浩.立角焊自动焊接机床结构设计[D].镇江:江苏科技大学,2015.(SU Yanhao.Structure design of an automatic machine for vertical fillet welding[D].Zhenjiang:Jiangsu University of Science and Technology,2015.)
[18]吴玉厚,吴岗,张珂,等.异型石材多功能数控加工中心关键部件的模态分析[J].沈阳建筑大学学报(自然科学版),2009,25(1):165-169.(WU Yuhou,WU Gang,ZHANG Ke,et al.M odal analysis of key components of multifunction CNC machine tool for irregularity stone[J].Journal of Shenyang jianzhu university(natural science),2009,25(1):165-169.)
[19]李希朝.基于正交实验的花岗石高效锯切技术实验研究[D].济南:山东大学,2010.(LI Xichao.The orthogonal experiment of granite sawing experiment research based on technology of high efficiency[D].Ji'nan:Shandong University,2010.)
[20]秦路,罗宇.基于有限元模型的焊接结构成本计算方法[J].热加工工艺,2016,(15):208-211.(QIN Lu,LUO Yu.Cost estimation of welding structure based on finite element model[J].Hot working technology,2016(15):208-211.)