Application of Multi-objective Optimization Design in Lightweight Design for Machining Center
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摘要: 为保证某大型加工中心的加工精度和切削效率,以其关键部件立柱为例,提出以质量及一阶固有频率为多目标优化的机床轻量化设计方法。首先根据有限元法利用有限元分析软件ABAQUS对立柱进行动静态特性分析,根据立柱结构分析提取影响1阶固有频率与质量的关键因素。通过均匀试验设计,利用MATLAB建立目标与关键因素的多元线性回归方程并进行灵敏度分析,找出敏感性因素。运用响应面法建立敏感因素与目标的2阶响应面数学模型,进而建立以减轻质量与提高固有频率为目标的立柱优化模型,最后应用MATLAB对数学模型进行优化求解。立柱经过优化后,提高立柱固有频率的同时质量减轻13.6%。Abstract: In order to ensure the machining accuracy and cutting efficiency of a machine center,taking the column of the machine center as an example,a multi-objective optimization design method in lightweight design for machining center is proposed in this paper,based on the mass and first natural frequency objectives. First of all,the element analysis software-ABAQUS is utilized to analyze the static and dynamic performances of the column. And then according to the column structure,the key factors affecting the first natural frequency and the mass should be extracted. Through the uniform design,MATLAB is used to establish the multiple linear regression equations between the goals and the key factors. At the same time,sensitivity analysis is conducted to find out the sensitivity factors. The target's second order response surface mathematical model is built between the goals and sensitive factors by using the response surface method,and then the optimization model of column is set up with the purpose of reducing the mass and improving the natural frequency. Finally,the MATLAB is applied to optimize the mathematical model. As a conclusion,the mass is reduced by13. 6% under the condition of the improvement of the natural frequency.
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Key words:
- ABAQUS /
- columns(structural) /
- cutting /
- machining /
- calculations
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[1] Altintas Y,Brecher C,Weck M.Virtual machine tool[J].CIRP Annals-Manufacturing Technology,2005,54(2):115~138 [2] Li Y W,Wang J S,Liu X J,et al.Dynamic performance com-parison and counterweight optimization of two 3-DOF parallel ma-nipulators for a new hybrid machine tool[J]. Mechanism andMachine Theory,2010,45(11):1668~1680 [3] 黄伟,欧长松,陆海漫等.龙门铣床立柱结构的有限元分析与拓扑优化[J]. 机械科学与技术,2012,31(1):118~121 [4] Talaslidis D G,Manolis G D,Paraskevopoulos E,et al.Riskanalysis of industrial structure under extreme transient loads[J].Soil Dynamics and Earthquake Engineering,2004,24(4):435~ 448 [5] Shu X W,Gu C G,Wang T,et al.Aerodynamic optimization forturbine blade based on hierarchical fair competition geneticalgorithms with dynamic niche[J]. Chinese Journal of Mechani-cal Engineering,2007,20(6):38~42 [6] 邓乃上,方宗德,朱艳香等.基于响应面模型的汽车传动系参数多目标优化[J]. 机械科学与技术,2011,30 (9):1569~1572 [7] Li Q,Steven G P,Xie Y M.Evolutionary structural optimizationfor connection topology design of multi-component systems [J].Engineering Computation,2001,18(3):460~479 [8] 张志文,韩清凯,刘亚忠.机械结构有限元分析[M]. 哈尔滨:哈尔滨工业大学出版社,2006 [9] 潘立君,陈锦权.试验设计与数据处理[M]. 南京:东南大学出版社,2008 [10] 周品,赵新芬.MATLAB 数理统计分析[M]. 北京:国防工业出版社,2009 [11] 张凯渊,胡洁,王伟明等.基于响应面模型的多鲁棒设计法研究[J]. 机械设计与研究,2006,22(3):6~9 [12] 罗中华.最优化方法及其在机械行业中的应用[M]. 北京:电子工业大学出版社,2008 [13] 李明.详解 MATLAB 在最优化计算中的应用[M]. 北京:电子工业大学出版社,2011
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