Singularity-free path optimization of the parallel test mechanism for artificial hip joints

This paper focuses on the singularity-free optimization for the working path of a 3SPS+1PS type parallel mechanism which is used for the simulation of hip joint motion. Kinematic and dynamic models of the test mechanism were set up with the vector method and the principle of virtual power, respectively. Based on the Jacobian matrix, the kinematic and dynamic performance evaluation indices were defined. The working path of the test mechanism traverses the singular surface twice. Optimization was conducted with the attitude of the virtual reference coordinate system as the design variable, the mean value of the motion transmission performance index and the mean value and the standard deviation of the driving force in the working path as the optimization objectives, and the reachable workspace as the constraint condition. The equivalent working path of the test mechanism after optimization had no singularity. Moreover, the motion transmission performance improved evidently and the driving force changed smoothly.

[1]  Tianyuan Xiao,et al.  Synergic motion trajectory planning for airplane docking based on 6PURU parallel mechanism , 2015 .

[2]  S. Ebrahimi,et al.  Dexterity characterization of the RPR parallel manipulator based on the local and global condition indices , 2017 .

[3]  Hongtao Wu,et al.  A novel method for singularity analysis of the 6-SPS parallel mechanisms , 2011 .

[4]  Guilin Yang,et al.  Workspace generation and planning singularity-free path for parallel manipulators , 2005 .

[5]  Clément Gosselin,et al.  Singularity analysis of 5-RPUR parallel mechanisms (3T2R) , 2011 .

[6]  S. Jack Hu,et al.  Dynamic Formulation and Performance Comparison of the 3-DOF Modules of Two Reconfigurable PKM—the Tricept and the TriVariant , 2005 .

[7]  M Viceconti,et al.  Tribology and total hip joint replacement: current concepts in mechanical simulation. , 2008, Medical engineering & physics.

[8]  Moharam Habibnejad Korayem,et al.  Path planning algorithm in wheeled mobile manipulators based on motion of arms , 2015 .

[9]  Pasquale Chiacchio,et al.  A new dynamic manipulability ellipsoid for redundant manipulators , 2000, Robotica.

[10]  Yang Li,et al.  Configuration bifurcation and self-motion analysis of 3SPS + 1PS bionic parallel test platform for hip joint simulator , 2015 .

[11]  Clément Gosselin,et al.  Dynamic Point-to-Point Trajectory Planning of a Two-DOF Cable-Suspended Parallel Robot , 2014, IEEE Transactions on Robotics.

[12]  Jun Hong,et al.  MOTION PLANNING FOR 6-DOF ASSEMBLY PART POSITIONING AND ALIGNMENT ADJUSTMENT , 2013 .

[13]  A. Mallik,et al.  Variational approach for singularity-free path-planning of parallel manipulators , 2003 .

[14]  Haitao Liu,et al.  Optimal design of the TriVariant robot to achieve a nearly axial symmetry of kinematic performance , 2007 .

[15]  Junwei Han,et al.  Singularity analysis and detection of 6-UCU parallel manipulator , 2014 .

[16]  F. Di Puccio,et al.  Biotribology of artificial hip joints. , 2015, World journal of orthopedics.

[17]  Hairong Fang,et al.  Reciprocal screw theory based singularity analysis of a novel 3-DOF parallel manipulator , 2012 .

[18]  T. Huang,et al.  Conceptual design and dimensional synthesis for a 3-DOF module of the TriVariant-a novel 5-DOF reconfigurable hybrid robot , 2005, IEEE Transactions on Robotics.

[19]  Sławomir Winiarski,et al.  Assessment of gait after bilateral hip replacement. Case study. , 2014, Ortopedia, traumatologia, rehabilitacja.

[20]  Ilian A. Bonev,et al.  Minimum-Time Trajectory Planning and Control of a Pick-and-Place Five-Bar Parallel Robot , 2015, IEEE/ASME Transactions on Mechatronics.