The Forced Vibration Analysis of Hexarot Parallel Mechanisms

Hexarot is a type of the axisymmetric parallel mechanisms which has become increasingly popular. One of the challenges in hexarots is to analyze their vibration. In this paper, the motion equation of hexarot mechanisms is addressed presented based on the virtual work principle and the forced vibration analysis of the manipulator is investigated. The modeling considers the base motion in the flexible mechanism. SimMechanics is used for numerical simulations to investigate the dynamic model. Eventually, the end effector response has been illustrated for different frequencies.

[1]  Saeid Nahavandi,et al.  Mathematical modelling of linear motion error for Hexarot parallel manipulators , 2016 .

[2]  A. K. Mallik,et al.  Dynamic stability index and vibration analysis of a flexible Stewart platform , 2007 .

[3]  I. I. Kalapyshina,et al.  Modelling of Nonlinear Dynamic of Mechanic Systems with the Force Tribological Interaction , 2015 .

[4]  Saeid Nahavandi,et al.  Performance analysis and dexterity monitoring of hexapod-based simulator , 2018, 2018 4th International Conference on Control, Automation and Robotics (ICCAR).

[5]  Saeid Nahavandi,et al.  Evaluation of inverse dynamics of hexarot-based centrifugal simulators , 2018 .

[6]  Mohammad Javad Nategh,et al.  The effects of joint clearance on the kinematic error of the hexapod tables , 2017, 2017 5th RSI International Conference on Robotics and Mechatronics (ICRoM).

[7]  Saeid Nahavandi,et al.  Multiobjective and Interactive Genetic Algorithms for Weight Tuning of a Model Predictive Control-Based Motion Cueing Algorithm , 2019, IEEE Transactions on Cybernetics.

[8]  Siamak Pedrammehr Investigation of factors influential on the dynamic features of machine tools hexapod table , 2012 .

[9]  Chee Peng Lim,et al.  A genetic algorithm–based nonlinear scaling method for optimal motion cueing algorithm in driving simulator , 2018, J. Syst. Control. Eng..

[10]  Saeid Nahavandi,et al.  A linear quadratic optimal motion cueing algorithm based on human perception , 2014, ICRA 2014.

[11]  Siamak Pedrammehr Dynamic modelling of hexarot parallel mechanisms for design and development , 2018 .

[12]  Saeid Nahavandi,et al.  Kinematic Manipulability Analysis of Hexarot Simulators , 2019, 2019 IEEE International Conference on Industrial Technology (ICIT).

[13]  Mehran Mahboubkhah,et al.  Forced Vibration Analysis of Milling Machine's Hexapod Table under Machining Forces , 2014 .

[14]  Saeid Nahavandi,et al.  MPC-based motion cueing algorithm with short prediction horizon using exponential weighting , 2016, 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

[15]  Leonard S. Haynes,et al.  On the dynamic model and kinematic analysis of a class of Stewart platforms , 1992, Robotics Auton. Syst..

[16]  Saeid Nahavandi,et al.  Optimisation of nonlinear motion cueing algorithm based on genetic algorithm , 2015 .

[17]  Saeid Nahavandi,et al.  Future reference prediction in model predictive control based driving simulators , 2016, ICRA 2016.

[18]  Saeid Nahavandi,et al.  A novel axis symmetric parallel mechanism with coaxial actuated arms , 2018, 2018 4th International Conference on Control, Automation and Robotics (ICCAR).

[19]  Wisama Khalil,et al.  Inverse and direct dynamic modeling of Gough-Stewart robots , 2004, IEEE Transactions on Robotics.

[20]  Saeid Nahavandi,et al.  Optimizing Model Predictive Control horizons using Genetic Algorithm for Motion Cueing Algorithm , 2018, Expert Syst. Appl..

[21]  Saeid Nahavandi,et al.  Control System Development of a Hexarot-Based High-G Centrifugal Simulator , 2019, 2019 IEEE International Conference on Industrial Technology (ICIT).

[22]  Saeid Nahavandi,et al.  Design methodology for a hexarot-based centrifugal high-G simulator , 2017, 2017 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

[23]  Jae-Bok Song,et al.  Analysis of Machining Stability for a Parallel Machine Tool , 2003 .

[24]  V. Parenti-Castelli,et al.  On the Characterization of the Dynamic Performances of Planar Manipulators , 2005 .

[25]  Saeid Nahavandi,et al.  Closed-form dynamics of a hexarot parallel manipulator by means of the principle of virtual work , 2018 .

[26]  D. C. H. Yang,et al.  Inverse dynamic analysis and simulation of a platform type of robot , 1988, J. Field Robotics.

[27]  Shuguang Huang,et al.  The bounds and realization of spatial stiffnesses achieved with simple springs connected in parallel , 1998, IEEE Trans. Robotics Autom..

[28]  Saeid Nahavandi,et al.  Dynamic analysis of Hexarot: axis-symmetric parallel manipulator , 2017, Robotica.

[29]  Jun Zou,et al.  Optimal design of Stewart platforms based on expanding the control bandwidth while considering the hydraulic system design , 2009 .

[30]  Chao Chen,et al.  Inverse dynamic modelling of a three-legged six-degree-of-freedom parallel mechanism , 2017 .

[31]  Mehran Mahboubkhah,et al.  Modal analysis of the vertical moving table of 4-DOF parallel machine tool by FEM and experimental test , 2017 .

[32]  Saeid Nahavandi,et al.  Human Perception-Based Washout Filtering Using Genetic Algorithm , 2015, ICONIP.

[33]  M. Mahboubkhah,et al.  Improved dynamic equations for the generally configured Stewart platform manipulator , 2012 .

[34]  Soo S. Lee,et al.  Design of a general purpose 6-DOF haptic interface , 2003 .

[35]  Yung Ting,et al.  Modeling and Control for a Gough-Stewart Platform CNC Machine , 2004, ICRA.

[36]  Siamak Pedrammehr,et al.  An Investigation on the Motion Error of Machine Tools’ Hexapod Table , 2018 .

[37]  A. Ghanbari,et al.  Kinematic Analysis for Hybrid 2-(6-UPU) Manipulator Using Wavelet Neural Network , 2014 .

[38]  Chee Peng Lim,et al.  Robust Optimal Motion Cueing Algorithm Based on the Linear Quadratic Regulator Method and a Genetic Algorithm , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.