scholarly journals Dynamic analysis of an over-constrained parallel mechanism with the principle of virtual work

2021 ◽  
Vol 27 (1) ◽  
pp. 347-372
Author(s):  
Miao Chen ◽  
Qing Zhang ◽  
Yunfei Ge ◽  
Xianrong Qin ◽  
Yuantao Sun
Keyword(s):  
Dynamic Analysis ◽  
Parallel Mechanism ◽  
Virtual Work ◽  
Principle Of Virtual Work

Dynamic Analysis of Flexible Manipulator Arms With Distributed Viscoelastic Damping

1997 ◽  
Vol 119 (4) ◽  
pp. 831-833 ◽  
Author(s):  
Fan Zijie ◽  
Lu Bingheng ◽  
C. H. Ku
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Dynamic Analysis ◽  
Virtual Work ◽  
Robot Manipulators ◽  
Flexible Manipulator ◽  
Viscoelastic Damping ◽  
Principle Of Virtual Work ◽  
Flexible Robot ◽  
Damping Treatments

The main objective of this work is to predict the effect of distributed viscoelastic damping on the dynamic response of multilink flexible robot manipulators. A general approach, based on the principle of virtual work, is presented for the modeling of flexible robot arms with distributed viscoelastic damping. The finite element equations are developed, and a recurrence formulation for numerical integration of these equations is obtained. It is demonstrated, by a numerical example, that the viscoelastic damping treatments have a significant effect on the dynamic response of flexible robot manipulators.

Dynamic Analysis of Spatial Four-Degree-of-Freedom Parallel Manipulators

1997 ◽  
Author(s):  
Jiegao Wang ◽  
Clément M. Gosselin
Keyword(s):  
Dynamic Analysis ◽  
Virtual Work ◽  
Parallel Manipulators ◽  
Degree Of Freedom ◽  
Principle Of Virtual Work ◽  
Numerical Examples ◽  
Euler Approach

Abstract The dynamic analysis of spatial four-degree-of-freedom parallel manipulators is presented in this article. First, expressions for the position, velocity and acceleration of each link constituting the manipulators are obtained. Then, the principle of virtual work is used to derive the generalized input forces of the manipulators. The corresponding algorithm is implemented and numerical examples are given in order to illustrate the results. The results obtained are verified using the classical Newton-Euler approach.

Multibody Dynamic Analysis of a 6-DOF Parallel Robot

2001 ◽  
Author(s):  
Miguel Almonacid ◽  
Sunil K. Agrawal ◽  
Rafael Aracil ◽  
Roque J. Saltarén
Keyword(s):  
Dynamic Analysis ◽  
Virtual Work ◽  
Computational Cost ◽  
Parallel Robot ◽  
Principle Of Virtual Work ◽  
Singularity Problem ◽  
Multibody Dynamic ◽  
Six Degree Of Freedom ◽  
Stewart Gough Platform ◽  
3D Surfaces

Abstract This paper presents the dynamic analysis of a six-degree of freedom (dof) parallel robot based on multibody dynamics. The robot is also known as Stewart-Gough platform. The inverse and forward dynamic analysis is presented based on the Newton-Euler formulation with the imposition of the constraints through Lagrange multipliers and the application of the principle of virtual work. The singularity problem within the workspace is also focused and 3D surfaces where the robot reach singular configurations are shown. Finally, simulations for the inverse and forward dynamic of the robot have been carried out showing the computational cost.

Kinematics and Statics Analysis of a 2-DOF Planar Parallel Mechanism with over Constraint

2011 ◽  
Vol 261-263 ◽  
pp. 913-917 ◽  
Author(s):  
Xu Zhao Han ◽  
Yu Mei Huang ◽  
Chun Chen ◽  
Hong Yan Liu ◽  
Xing Fang Yang
Keyword(s):  
Inverse Kinematics ◽  
Parallel Mechanism ◽  
Jacobian Matrix ◽  
Virtual Work ◽  
Principle Of Virtual Work ◽  
Real Time Control ◽  
Hybrid Machine Tool ◽  
Time Control ◽  
Solution Equation ◽  
New Type

This paper presents a deep research on 2-DOF planar parallel mechanism during developing a new type of hybrid machine tool. The composition of this planar parallel mechanism is introduced, its direct and inverse kinematics solution equations as well as the solution equations for the speed and the acceleration are deduced, meanwhile, the jacobian matrix is obtained. The statics problems of the parallel mechanism are modeled and analyzed based on principle of virtual work, and the balancing driving force solution equation of the driving part is given. Through the solving process we can see that the direct and inverse solution equations of this mechanism have explicit expressions and convenient to realize real-time control. It forms a solid basis for the design and development of this mechanism.

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