Parameter sensitivity analysis of a 5-DoF parallel manipulator

Abstract With the capability of determining main/subordinate parameters, parameter sensitivity analysis plays an important role in eliminating unimportant parameters and simplifying performance analysis and optimization model. Taking a 5 degree-of-freedom parallel manipulator (T5 PM) as an example, the effects of joint stiffness/compliance coefficients and parameters of cross section to the mass and stiffness performance are investigated through parameter sensitivity analysis based on response surface method and performance reliability. By selecting experimental strategy and implementing accuracy assessment, the response surface method is adopted to establish the mapping model of parameters and performance with high efficiency and accuracy. In the light of reliability sensitivity, the performance reliability to parameter mean value and variance are simultaneously considered by the global parameter sensitivity index, which is the principle for determining the impact extent of parameters. Moreover, how the parameters affect the targeted performance can be evaluated through RSAV, RSPC and RSNC defined by the performance reliability to the parameter mean value. After verifying the sensitivity analysis approach by SolidWorks simulation, the parameter discussion of T5 PM is carried out. 15 parameters are selected from the original 39 parameters and effects of these parameters are clearly demonstrated, which provide reference for the future optimization process.

[1]  Gao,et al.  Virtual Reality Toolkit for the Assembly of Nanotube-based Nano-electro-mechanical Systems , 2011 .

[2]  Qi Yang,et al.  A Novel Five-Degree-of-Freedom Parallel Manipulator and Its Kinematic Optimization , 2014 .

[3]  Qi Yang,et al.  Kinematic analysis and optimal design of a novel 1T3R parallel manipulator with an articulated travelling plate , 2014 .

[4]  Stéphane Caro,et al.  Sensitivity comparison of planar parallel manipulators , 2010 .

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

[6]  Yaping Zhao,et al.  Reliability design and sensitivity analysis of cylindrical worm pairs , 2014 .

[7]  Tao,et al.  Separation of Comprehensive Geometrical Errors of a 3-DOF Parallel Manipulator Based on Jacobian Matrix and Its Sensitivity Analysis with Monte-Carlo Method , 2011 .

[8]  T. Simpson,et al.  Comparative studies of metamodeling techniques under multiple modeling criteria , 2000 .

[9]  Tao Sun,et al.  Stiffness analysis and experiment of a novel 5-DoF parallel kinematic machine considering gravitational effects , 2015 .

[10]  Med Amine Laribi,et al.  Accuracy analysis of non-overconstrained spherical parallel manipulators , 2014 .

[11]  Singiresu S Rao,et al.  Interval Approach for the Modeling of Tolerances and Clearances in Mechanism Analysis , 2004 .

[12]  T. Huang,et al.  Tolerance design of a 2-DOF overconstrained translational parallel robot , 2006, IEEE Transactions on Robotics.

[13]  Kurt S. Anderson,et al.  An efficient direct differentiation approach for sensitivity analysis of flexible multibody systems , 2010 .

[14]  Ibrahim A. Sultan,et al.  Calibration of an articulated CMM using stochastic approximations , 2012 .

[15]  Clément Gosselin,et al.  Kinematic-Sensitivity Indices for Dimensionally Nonhomogeneous Jacobian Matrices , 2010, IEEE Transactions on Robotics.

[16]  Stéphane Caro,et al.  Sensitivity Analysis of 3-RPR Planar Parallel Manipulators , 2009 .

[17]  I. Sobola,et al.  Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates , 2001 .

[18]  Jun Wu,et al.  A study on the effect of structure parameters on the dynamic characteristics of a PRRRP parallel manipulator , 2013 .

[19]  Byung Man Kwak,et al.  Response surface augmented moment method for efficient reliability analysis , 2006 .

[20]  David W. Coit,et al.  A Monte-Carlo simulation approach for approximating multi-state two-terminal reliability , 2005, Reliab. Eng. Syst. Saf..

[21]  Anna Witek-Krowiak,et al.  Application of response surface methodology and artificial neural network methods in modelling and optimization of biosorption process. , 2014, Bioresource technology.

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

[23]  Shaoze Yan,et al.  Analysis of parameter sensitivity of space manipulator with harmonic drive based on the revised response surface method , 2014 .

[24]  Tao Sun,et al.  Stiffness modeling, analysis and evaluation of a 5 degree of freedom hybrid manipulator for friction stir welding , 2017 .

[25]  Xiaoping Du,et al.  Probabilistic mechanism analysis with bounded random dimension variables , 2013 .

[26]  Li Huang,et al.  On the design of fault tolerant parallel manipulators , 2003 .

[27]  Xu Wei-Liang,et al.  Probabilistic analysis and Monte Carlo simulation of the kinematic error in a spatial linkage , 1989 .

[28]  Sun Xiao-yong Error analysis and calibration of 6-PSS parallel mechanism , 2012 .

[29]  M. Pandey,et al.  System reliability analysis of the robotic manipulator with random joint clearances , 2012 .

[30]  John E. Renaud,et al.  Reliability based design optimization using response surfaces in application to multidisciplinary systems , 2004 .

[31]  Yinglin Ke,et al.  Stiffness-oriented posture optimization in robotic machining applications , 2015 .

[32]  Zhen Gao,et al.  Optimal Kinematic Calibration of Parallel Manipulators With Pseudoerror Theory and Cooperative Coevolutionary Network , 2012, IEEE Transactions on Industrial Electronics.

[33]  Shuangzhe Liu,et al.  Global Sensitivity Analysis: The Primer by Andrea Saltelli, Marco Ratto, Terry Andres, Francesca Campolongo, Jessica Cariboni, Debora Gatelli, Michaela Saisana, Stefano Tarantola , 2008 .

[34]  T. Simpson,et al.  Comparative studies of metamodelling techniques under multiple modelling criteria , 2001 .

[35]  Zhen Gao,et al.  Forward kinematics, performance analysis, and multi-objective optimization of a bio-inspired parallel manipulator , 2012 .

[36]  S. Caro,et al.  Sensitivity analysis of parallel manipulators using an interval linearization method , 2014 .

[37]  Liping Wang,et al.  Dynamic modeling and redundant force optimization of a 2-DOF parallel kinematic machine with kinematic redundancy , 2015 .

[38]  Fouad Bennis,et al.  Sensitivity Analysis of the Orthoglide, a 3-DOF Translational Parallel Kinematic Machine , 2006, ArXiv.