Dynamic analysis of a simplified flexible manipulator with interval joint clearances and random material properties

Flexible manipulator is an emerging technique in aerospace engineering, especially in the assembly, testing and maintenance of space stations. Dynamic analysis of a flexible manipulator with multiple clearance joints and hybrid uncertainties is a great challenge as compared to traditional flexible manipulator. To solve the problem, a dynamics model for a simplified flexible manipulator with interval clearance joints and random material properties was established. In this model, the Lankarani–Nikravesh contact force model was used to construct the clearance joint, while a combined feedforward–feedback control strategy based on a PID controller was applied to control the flexible manipulator. In addition, the clearance sizes and the Young’s moduli of the flexible parts were described by interval variables and random fields, respectively. To solve the dynamics model, a general methodology, based on the Karhunen–Loeve expansion and Kriging model, was presented. Finally, numerical examples were employed to demonstrate the validity of the proposed approach. The simulation results indicate that the joint clearance, the flexibility of the components and the uncertainties have great impacts on the kinematic accuracy and dynamic behaviors of the flexible manipulator, while hybrid uncertainties result in worse kinematic accuracy and more complex dynamic behaviors.

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

[2]  Liang Xu,et al.  A Kriging Model for Dynamics of Mechanical Systems With Revolute Joint Clearances , 2014 .

[3]  Peter Eberhard,et al.  DYNAMIC ANALYSIS OF FLEXIBLE MANIPULATORS, A LITERATURE REVIEW , 2006 .

[4]  Hamid M. Lankarani,et al.  A Contact Force Model With Hysteresis Damping for Impact Analysis of Multibody Systems , 1989 .

[5]  Jon C. Helton,et al.  Quantification of margins and uncertainties: Alternative representations of epistemic uncertainty , 2011, Reliab. Eng. Syst. Saf..

[6]  Linfang Qian,et al.  Modeling and simulation of planar multibody systems considering multiple revolute clearance joints , 2017 .

[7]  Med Amine Laribi,et al.  Clearance and manufacturing errors' effects on the accuracy of the 3-RCC Spherical Parallel Manipulator , 2013 .

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

[9]  Hai-Quan Li,et al.  Investigation of joint clearances in a large-scale flexible solar array system , 2018 .

[10]  Ahmed A. Shabana,et al.  APPLICATION OF THE ABSOLUTE NODAL CO-ORDINATE FORMULATION TO MULTIBODY SYSTEM DYNAMICS , 1997 .

[11]  Xianmin Zhang,et al.  Dynamic analysis of a 3-PRR parallel mechanism by considering joint clearances , 2017 .

[12]  I. Papaioannou,et al.  Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion , 2014 .

[13]  Jorge Ambrósio,et al.  Impact of Rigid and Flexible Multibody Systems: Deformation Description and Contact Models , 2003 .

[14]  Nizar Aifaoui,et al.  Numerical investigation of a flexible slider–crank mechanism with multijoints with clearance , 2016 .

[15]  Dongyang Sun,et al.  Kinematic accuracy analysis of planar mechanisms with clearance involving random and epistemic uncertainty , 2016 .

[16]  H. M. Daniali,et al.  Reducing the undesirable effects of joints clearance on the behavior of the planar 3-RRR parallel manipulators , 2016 .

[17]  Nong Zhang,et al.  Dynamic computation of flexible multibody system with uncertain material properties , 2016 .

[18]  Sondipon Adhikari,et al.  Distributed parameter model updating using the Karhunen–Loève expansion , 2010 .

[19]  Shaoze Yan,et al.  Kinematic accuracy analysis of flexible mechanisms with uncertain link lengths and joint clearances , 2011 .

[20]  Dongyang Sun,et al.  Tracking Accuracy Analysis of a Planar Flexible Manipulator With Lubricated Joint and Interval Uncertainty , 2016 .

[21]  Jon C. Helton,et al.  Quantification of margins and uncertainties: Conceptual and computational basis , 2011, Reliab. Eng. Syst. Saf..

[22]  Qiang Tian,et al.  A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints , 2018 .

[23]  Hamid M. Daniali,et al.  The effects of joint clearance on the dynamics of the 3RRR planar parallel manipulator , 2017, Robotica.

[24]  Paul D. Walker,et al.  Uncertain dynamic analysis for rigid-flexible mechanisms with random geometry and material properties , 2017 .

[25]  Margarida F. Machado,et al.  A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems , 2011 .

[26]  Yi Sun,et al.  A study on dynamics of planar multibody mechanical systems with multiple revolute clearance joints , 2016 .

[27]  Q. Tian,et al.  Dynamics of flexible multibody systems with hybrid uncertain parameters , 2018 .

[28]  Shaoze Yan,et al.  Kinematic accuracy and dynamic performance of a simple planar space deployable mechanism with joint clearance considering parameter uncertainty , 2017 .