Clearance effected accuracy and error sensitivity analysis: A new nonlinear equivalent method for spatial parallel robot

Most mechanism contains one or more joints. However, joint clearances which cannot be dislodged make accuracy analysis become complicated. In order to seek a method to investigate the impact of joint clearances on the accuracy of a parallel robot, this paper deals with the 3-SPS-1-S spatial parallel robot’s pose error predicting and sensitivity analyzing. In this paper, a nonlinear method for evaluating the sources of the pose errors is proposed on the condition that the pose errors only come from joint clearances. Firstly, based on the nonlinear contact modes inside the joints, the error equivalent method is outlined for spherical joint and sliding pair. Then the pose error distribution over its workspace is presented. Secondly, those areas where the pose errors present abnormally changing are analyzed. Thirdly, sensitivity models are defined to evaluate how much the external variable load affects the pose errors. Finally, the simulation results, which are consistent with the structural characteristics of the 3-SPS-1-S spatial parallel robot, proved the validity of the equivalent method proposed in this paper.

[1]  Ming-June Tsai,et al.  Accuracy analysis of a multi-loop linkage with joint clearances , 2008 .

[2]  Amin Haghnegahdar,et al.  Micro-embedded Skimmer in Autonomous Underwater Micro-robots , 2015 .

[3]  Jing-li Yu,et al.  Sensitivity analysis and kinematic calibration of 3-UCR symmetrical parallel robot leg , 2011 .

[4]  Shangjun Ma,et al.  Dynamic analysis of planar mechanical systems with clearance joints using a new nonlinear contact force model , 2016 .

[5]  Shahid Hussain,et al.  An Adaptive Wearable Parallel Robot for the Treatment of Ankle Injuries , 2014, IEEE/ASME Transactions on Mechatronics.

[6]  Selçuk Erkaya,et al.  Modeling and simulation of joint clearance effects on mechanisms having rigid and flexible links , 2014 .

[7]  Dong Yang,et al.  Investigations on the dynamic characteristics of a planar slider-crank mechanism for a high-speed press system that considers joint clearance , 2017 .

[8]  Yahia M. Al-Smadi,et al.  Planar Four-bar Path Generation Considering Worst Case Joint Tolerances , 2011 .

[9]  R. S Haines,et al.  Survey: 2-dimensional motion and impact at revolute joints , 1980 .

[10]  S. J. Lee,et al.  The Determination of the Probabilistic Properties of Velocities and Accelerations in Kinematic Chains With Uncertainty , 1991 .

[11]  Jorge Ambrósio,et al.  A study on dynamics of mechanical systems including joints with clearance and lubrication , 2006 .

[12]  Sihong Zhu,et al.  A study on dynamics of flexible multi-link mechanism including joints with clearance and lubrication for ultra-precision presses , 2016 .

[13]  Ke Wang,et al.  Dynamic analysis and optimization design of a planar slider–crank mechanism with flexible components and two clearance joints , 2016 .

[14]  Nicolae Plitea,et al.  Kinematic analysis of a new 5-DOF modular parallel robot for brachytherapy , 2015 .

[15]  Jordan M. Berg,et al.  An intrinsic PID controller for mechanical systems on Lie groups , 2015, Autom..

[16]  Yongsheng Zhao,et al.  Stiffness modelling and comparison of the 5-UPS/PRPU parallel machine tool with its non-redundant counterpart , 2017 .

[17]  Li Yan-wen Kinematics analysis on the spatial 3-SPS/S opposing vertexes double pyramid mechanism , 2007 .

[18]  Ning Wang,et al.  The Kinematics Analysis and Modeling about the Constraint Chain of a 3-TPT Parallel Machine Tool , 2015 .

[19]  Li Mu,et al.  Position Error Sensitivity Analysis for Polishing Robot , 2012 .

[20]  Selçuk Erkaya,et al.  Investigation of joint clearance effects on welding robot manipulators , 2012 .

[21]  Patrick Maurine,et al.  Self-calibration of delta parallel robots with elastic deformation compensation , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[22]  Xia Wu,et al.  Error modeling and sensitivity analysis of a hybrid-driven based cable parallel manipulator , 2014 .

[23]  Madara Ogot,et al.  Dimensional Tolerance Allocation of Stochastic Dynamic Mechanical Systems Through Performance and Sensitivity Analysis , 1993 .

[24]  J. Merlet Jacobian, Manipulability, Condition Number and Accuracy of Parallel Robots , 2005, ISRR.

[25]  F. Freudenstein Advanced mechanism design: Analysis and synthesis: Vol. 2, by G. N. Sandor and A. G. Erdman. Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1984, 688 p , 1985 .

[26]  Amir Rezaei,et al.  An interval-valued fuzzy controller for complex dynamical systems with application to a 3-PSP parallel robot , 2014, Fuzzy Sets Syst..

[27]  Zouhaier Affi,et al.  Prediction of the pose errors produced by joints clearance for a 3-UPU parallel robot , 2009 .

[28]  Xin-Jun Liu,et al.  Error modeling and sensitivity analysis of a parallel robot with SCARA(selective compliance assembly robot arm) motions , 2014 .

[29]  Mohammad Ahmadi Balootaki,et al.  Modeling of Bio-inspired Thunnus Albacares and Inchworm-gammarus with Micro Actuators in One Structure , 2015 .

[30]  M. Ahmedalbashir,et al.  Dynamics of a four-bar mechanism with clearance and springs - Modeling and experimental analysis , 2017 .

[31]  Joseph R Baumgarten,et al.  A probabilistic study relating to tolerancing and path generation error , 1985 .

[32]  Jianmin Zhu,et al.  Uncertainty analysis of planar and spatial robots with joint clearances , 2000 .