Integrated Stiffness Analysis of Redundant Parallel Manipulator Based on Finite Element Method

An integrated stiffness model is established for a Planar Parallel Manipulator (PPM) with actuation redundancy based on Finite Element Method (FEM), and the static stiffness, dynamitic stiffness and moving stiffness of the PPM are analyzed according to the integrated stiffness model. Firstly, a dynamic model of flexible plane beam element is created as a basic unit for branches. Secondly, each branch is assembled in generalized coordinates, and the integrated stiffness model of the PPM is established. Then calculation and simulation for the static stiffness, dynamitic stiffness and moving stiffness are carried out. The results show that the static stiffness and dynamitic stiffness are related with the position and posture of the PPM. The moving stiffness shows that the elastic deformations cause the oscillation of the PPM. In this paper, three stiffness models are unified in the integrated stiffness model, which improves the efficiency of the stiffness calculation and mechanism design.

[1]  Dehua Yang,et al.  Stiffness analysis of a 3CPS parallel manipulator for mirror active adjusting platform in segmented telescope , 2013 .

[2]  Giuseppe Carbone,et al.  Collision free trajectory planning for hybrid manipulators , 2012 .

[3]  Hiroshi Ishiguro,et al.  Non-singular transitions between assembly modes of 2-DOF planar parallel manipulators with a passive leg , 2014 .

[4]  Jun Wu,et al.  Stiffness and natural frequency of a 3-DOF parallel manipulator with consideration of additional leg candidates , 2013, Robotics Auton. Syst..

[5]  Clément Gosselin,et al.  Parametric Stiffness Analysis of the Orthoglide , 2004, ArXiv.

[6]  M. Ceccarelli,et al.  A stiffness analysis for CaPaMan (Cassino Parallel Manipulator) , 2002 .

[7]  Ebrahim Mattar,et al.  Robotics and Autonomous Systems a Survey of Bio-inspired Robotics Hands Implementation: New Directions in Dexterous Manipulation , 2022 .

[8]  Cammarata Alessandro,et al.  Elastodynamic optimization of a 3T1R parallel manipulator , 2014 .

[9]  Hermes Giberti,et al.  A new isotropic and decoupled 6-DoF parallel manipulator , 2012 .

[10]  Simone Cinquemani,et al.  5R 2dof parallel kinematic manipulator – A multidisciplinary test case in mechatronics , 2013 .

[11]  Alireza Akbarzadeh,et al.  Position, Jacobian and workspace analysis of a 3-PSP spatial parallel manipulator , 2013 .

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

[13]  Damien Chablat,et al.  Enhanced stiffness modeling of manipulators with passive joints , 2011, ArXiv.

[14]  Damien Chablat,et al.  Stiffness modeling for perfect and non-perfect parallel manipulators under internal and external loadings , 2014 .

[15]  Jianda Han,et al.  Analysis of stiffness and elastic deformation of a 2(SP+SPR+SPU) serial-parallel manipulator , 2011 .

[16]  O. Altuzarra,et al.  Improving static stiffness of the parallel manipulator using inverse singularities , 2012 .