一种并联动力头静柔度精确预估方法与灵敏度分析

doi:10.3901/JME.2016.11.001

摘要/Abstract

摘要： 以一种1T2R,3自由度并联动力头——A3头为对象,研究其静柔度半解析精细建模与预估方法。该方法在建立系统静柔度模型的基础上,将支链体分解为若干子部件,建立这些子部件在各自局部坐标系中定义的柔度系数与界面柔度系数的映射模型,提出一种采用分层递阶格式精确计算出各零部件柔度系数的策略,进而有效地提高了整机全域静柔度预估的效率与精度。在试验验证该方法正确性的基础上,采用灵敏度分析揭示出各部件弹性对动平台参考点柔度的影响。结果表明,移动副沿约束方向的抗弯刚度及球铰链沿驱动(约束)的抗拉压(弯曲)刚度是影响整机刚度的主要薄弱环节,进而为该类装备的改进与优化设计提供了依据。

关键词: 并联动力头, 精细建模, 静柔度, 灵敏度分析

中图分类号:

TG156

李祺, 马跃, 黄田. 一种并联动力头静柔度精确预估方法与灵敏度分析[J]. 机械工程学报, 2016, 52(11): 1-10.

LI Qi, MA Yue, HUANG Tian. Compliance Evaluation and Sensitivity Analysis of a Parallel Spindle Head[J]. Journal of Mechanical Engineering, 2016, 52(11): 1-10.

参考文献

[1] WECK M,STAIMER D. Parallel kinematic machine tools - current state and future potentials[J]. CIRP Annals - Manufacturing Technology,2002,51(2)：671-683.
[2] HENNES N. Ecospeed：An innovative machining concept for high performance 5-axis-machining of large structural component in aircraft engineering[C]// Proceedings of the 3rd Chemnitz Parallel kinematics Seminar,May 23-25,2002,Zwickau. Chemnitz：Verlag Wissenschaftliche Scripten,2002：763-774.
[3] HENNES N,STAIMER D. Application of PKM in aerospace manufacturing high performance machining centers ECOSPEED,ECOSPEED-F and ECOLINER[C]// Proceedings of the 4th Chemnitz Parallel Kinematics Seminar,April 23-25,2004,Zwickau. Chemnitz：Verlag Wissenschaftliche Scripten,2004：557-577.
[4] URIARTE L,ZATARAIN M,AXINTE D,et al. Machine tools for large parts[J]. CIRP Annals - Manufacturing Technology,2013,62(2)：731-750.
[5] PIRAS G,CLEGHORN W L,MILLS J K. Dynamic finite-element analysis of a planar high-speed,high-precision parallel manipulator with flexible links[J]. Mechanism and Machine Theory,2005,40(7)：849-862.
[6] ZHANG Jun,LI Yonggang,HUANG Tian. Dynamic modeling and eigenvalue evaluation of a 3-DOF PKM module[J]. Chinese Journal of Mechanical Engineering,2010,23(2)：166-173.
[7] ZHANG Jun,ZHAO Yanqin,DAI Jiansheng. Compliance modeling and analysis of a 3-RPS parallel kinematic machine module[J]. Chinese Journal of Mechanical Engineering,2014,27(4)：703-713.
[8] EL-KHASAWNEH B S,FERREIRA P M. Computation of stiffness and stiffness bounds for parallel link manipulators[J]. International Journal of Machine Tools and Manufacture,1999,39(2)：321-342.
[9] NAGAI K,LIU Z Y. A systematic approach to stiffness analysis of parallel mechanisms and its comparison with FEM[C]// Proceeding of SICE Annual Conference,September 17-20,2007,Kagawa University,Takamatsu. New York：IEEE,2007：1087-1094.
[10] LI Y W,WANG J S,WANG L P. Stiffness analysis of a Stewart platform-based parallel kinematic machine[C]// Proceedings of IEEE International Conference on Robotics and Automation,May 11-15,Washington DC,USA. New York：IEEE,2002：3672-3677.
[11] GOSSELIN C. Stiffness mapping for parallel manipulator[J]. IEEE Transactions on Robotics and Automation,1990,6(3)：377-382.
[12] ZHANG D,BI Z M,LI B Z. Design and kinetostatic analysis of a new parallel manipulator[J]. Robotics and Computer-Integrated Manufacturing,2009,25(4-5)：782-791.
[13] REZAEI A,AKBARZADEH A,AKBARZADEH T M R. An investigation on stiffness of a 3-PSP spatial parallel mechanism with flexible moving platform using invariant form[J]. Mechanism and Machine Theory,2012,51：195-216.
[14] YOE S H,YANG G,LIM W B. Design and analysis of cable-driven manipulators with variable stiffness[J]. Mechanism and Machine Theory,2013,69：230-244.
[15] LI Qi,WANG Manxin,HUANG Tian,et al. Compliance analysis of a 3-DOF spindle head by considering gravitational effects[J]. Chinese Journal of Mechanical Engineering,2015,28(1)：1-10.
[16] PASHKEVICH A,KLIMCHIK A,CHABLAT D. Enhanced stiffness modeling of manipulators with passive joints[J]. Mechanism and Machine Theory,2011,46(5)：662-679.
[17] PASHKEVICH A,CHABLAT D,WENGER P. Stiffness analysis of over-constrained parallel manipulators[J]. Mechanism and Machine Theory,2009,44(5)：966-982.
[18] KLIMCHIK A,PASHKEVICH A,CARO S,et al. Stiffness matrix of manipulators with passive joints：Computational aspects[J]. IEEE Transactions on Robotics,2012,28(4)：955-958.
[19] WANG Y Y,HUANG T,ZHAO X M,et al. A semi-analytical approach for stiffness modeling of PKM by considering compliance of machine frame with complex geometry[J]. Chinese Science Bulletin,2008,53(16)：2565-2574.
[20] WANG Y Y,CHETWYND D G,LIU H T,et al. Stiffness modeling of the Tricept robot using the overall Jacobian matrix[J]. Journal of Mechanisms and Robotics,2009,1(2)：021002-1-8.
[21] LI Y G,LIU H T,ZHAO X M,et al. Design of a 3-DOF PKM module for large structural component machining[J]. Mechanism and Machine Theory,2010,45(6)：941-954.
[22] LI Y G,ZHANG E J,SONG Y M,et al. Stiffness modeling and analysis of a novel 4-DOF PKM for manufacturing large components[J]. Chinese Journal of Aeronautics,2013,26(6)：1577-1585.
[23] 方兵. 精密数控机床及其典型结合面理论建模与实验研究[D]. 长春：吉林大学,2012.
FANG Bing. Theoretical modeling and experimental study of precision CNC machine tools and its typical interface[D]. Changchun：Jilin University,2012.
[24] 王书亭,李杰,刘涛,等. 机械固定结合面刚度特性建模[J]. 华中科技大学学报,2011,39(1)：1-5.
WANG Shuting,LI Jie,LIU Tao,et al. Interfacial stiffness characteristic modeling of mechanical fixed joints[J]. Journal Huazhong University of Science and Technology,2011,39(1)：1-5.
[25] 贾文峰,张学良,温淑花,等. 基于虚拟材料的结合面建模与参数获取方法[J]. 太原科技大学学报,2013,34(5)：347-351.
JIA Wenfeng,ZHANG Xueliang,WEN Shuhua,et al. A method for modeling and parameter acquisitions of joints based on virtual materials[J]. Journal of Taiyuan University of Science and Technology,2013,34(5)：347-351.
[26] 曹定胜,王学林,张宏志. 高速加工中心有限元计算模型与实验验证[J]. 振动与冲击,2006,35(3)：190-192.
CAO Dingsheng,WANG Xuelin,ZHANG Hongzhi. FE model and experiment verification for machining center model analysis[J]. Journal Vibration and Shock,2006,35(3)：190-192.
[27] LIN C Y,HUNG J P,LO T L. Effect of preload of linear guides on dynamic characteristics of a vertical column-spindle system[J]. International Journal of Machine Tools and Manufacture,2010,50(8)：741-746.
[28] 毛宽民,李斌,谢波,等. 滚动直线导轨副可动结合部动力学建模[J]. 华中科技大学学报,2008,36(8)：85-88.
MAO Kuanmin,LI Bin,XIE Bo,et al. Dynamic modeling of the movable joint on rolling linear guide[J]. Journal Huazhong University of Science and Technology,2008,36(8)：85-88.
[29] HUANG D T Y,LEE J J. On obtaining machine tool stiffness by CAE techniques[J]. International Journal of Machine Tools and Manufacture,2001,41(8)：1149-1163.
[30] 蒋书运,祝书龙. 带滚珠丝杠副的直线导轨结合部动态刚度特性[J]. 机械工程学报,2010,46(1)：92-99.
JIANG Shuyun,ZHU Shulong. Dynamic characteristic parameters of linear guideway joint with ball screw[J]. Journal of Mechanical Engineering,2010,46(1)：92-99.
[31] Online Schaeffler CO LTD[EB/OL]. [2014-07-01]. http：//www.schaeffler.cn.
[32] Online THK CO LTD[EB/OL]. [2014-07-01]. http：//www.thk.com.