Multi-objective Design Optimization of Pad-iron Positions for Three-point Supporting T-shaped Bed Machine Tools

Abstract

Abstract: For the optimal position problems of the three-point supporting machine tools, a optimal method was proposed to optimize the locations of the three-point supporting. The detailed design processes were introduced with a T-shaped bed of a CNC cylindrical grinder which was taken as the research object. Firstly, the initial supporting positions were determined by the method of dividing bottom plane of the bed and finding the centroid of each region, and the pad-iron positions were parameterized, then the parameter ranges were specified according to the position limit conditions. Secondly, the multi-objective optimization mathematical model of pad-iron positions was established, and the optimal solution was obtained to achieve the optimal static and dynamic performances of the bed. Finally, by analyzing the relationship between the three pad-iron positions obtained from Pareto frontier and the bed geometric sizes, the arrangement rule of three-point support for this model was obtained. The results show that the static and dynamic performances of the bed are improved by this suggested method.

Key words: three-point supporting machine tool; , pad-iron position; , multi-objective optimization; , Pareto frontier

摘要：

针对三点支撑机床的最优支撑位置设计问题，提出了一种三点支撑床身垫铁位置设计方法。以某型号数控外圆磨床的T形床身为研究对象，对三点支撑床身垫铁位置优化方法进行了详细说明。根据床身底面分区块找形心的方法确定三个初始支撑位置，并将垫铁位置参数化，根据位置极限条件确定参数范围；建立三点支撑床身垫铁位置多目标优化设计的数学模型，基于床身静动态性能对垫铁位置进行多目标优化；最后通过分析Pareto解集下三个垫铁位置与床身尺寸的关系，得出床身三点支撑的布置规律。分析结果表明，提出的布置方法可明显提高床身的静动态性能。

关键词: 三点支撑机床, 垫铁位置, 多目标优化, Pareto解集

CLC Number:

TH122

DING Xiaohong;ZHANG Jun;ZHANG Heng. Multi-objective Design Optimization of Pad-iron Positions for Three-point Supporting T-shaped Bed Machine Tools[J]. China Mechanical Engineering.

丁晓红;张俊;张横. 三点支撑T形床身机床垫铁位置多目标优化设计[J]. 中国机械工程.

References

[1]ZHANG Heng, DING Xiaohong, DONG Xiaohu, et al. Optimal Topology Design of Internal Stiffeners for Machine Pedestal Structures Using Biological Branching Phenomena[J]. Structural and Multidisciplinary Optimization, 2018, 57(6): 2323-2338.
[2]ZHU Jihong, ZHANG Weihong. Maximization of Structural Natural Frequency with Optimal Support Layout[J]. Structural and Multidisciplinary Optimization, 2006,31: 462-469.
[3]赵秋红. 涡轮增压器喷嘴环叶片专用机床整体布局与支撑部件优化设计[D].武汉: 武汉理工大学,2013.
ZHAO Qiuhong.Optimization Design of Overall Layout and Supporting Parts for Turbocharger Nozzle Ring Blades[D]. Wuhan: Wuhan University of Technology, 2013.
[4]BUHI T. Simultaneous Topology Optimization of Structure and Supports[J]. Structural and Multidisciplinary Optimization, 2002, 23:336-346.
[5]云青,牛文铁,王俊强. 精密机床床身结构三点支撑的多目标优化设计[J].机械设计,2015,32(7): 1-7.
YUN Qing, NIU Wentie, WANG Junqiang.Multi-objective Optimization Design of Three-point Support for Precision Machine Tool Bed Structure[J]. Mechanical Design, 2015,32(7): 1-7.
[6]德玛吉机床有限公司.NHC 4000高稳定性、高精度和高动态性能的卧式加工中心[DB/OL].[2018-06-20]. https:∥cn.dmgmori.com/products/machines/milling/horizontal-milling/nhc/nhc-4000.
DMG MORI. NHC 400 Horizontal Machining Center with High Stability, High Precision and High Dynamic Performance[DB/OL]. [2018-06-20]. https:∥cn.dmgmori.com/products/machines/milling/horizontal-milling/nhc/nhc-4000.
[7]Kellenberger. KEL-VITA Product Documents [DB/OL]. [2018-06-20]. http:∥www.hardinge.com/ProductCatalog/Product/ProductId/142.
[8]LAW M, ALTINTASN Y, PHANI A S. Rapid Evaluation and Optimization of Machine Tools with Position-dependent Stability[J]. International Journal of Machine Tools & Manufacture, 2013,68(3): 81-90.
[9]LAW M, IHLENFELDT S, WABNER M, et al. Position-dependent Dynamics and Stability of Serial-parallel Kinematic Machines[J]. CIRP Annals—Manufacturing Technology, 2013, 62(1):375-378.
[10]DAI Xiaoming，SUN Rong，ZOU Runmin. Global Convergence Analysis of Non-crossover Genetic Algorithm and Its Application to Optimization[J]. Journal of Systems Engineering and Electronics,2002,13(2): 84-91.
[11]银波，徐典，安亦然,等. 基于iSIGHT平台的三维机翼气动优化设计[J]. 应用数学和力学,2008,29(5):544-549.
YIN Bo, XU Dian, AN Yiran, et al. 3D Wing Aerodynamic Optimization Design Based on iSIGHT Platform[J]. Applied Mathematics and Mechanics, 2008,29(5):544-549.

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