Inverse Kinematics Analysis and Workspace of a New 3-RRRR Parallel Manipulator

Volume 2 ◽  
2004 ◽  
Author(s):  
Mohsen Bahrami ◽  
Iman Ebrahimi Moghaddam
Keyword(s):  
Rigid Body ◽  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
High Speed ◽  
Analytic Solution ◽  
Kinematics Analysis ◽  
Electric Actuation ◽  
The One ◽  
Speed Accuracy ◽  
Robotic Applications

This paper presents a new 3-RRRR parallel manipulator. In the proposed mechanism, the revolute actuators are fixed to the base, which leads to a reduction of the inertia of the moving links and hence makes it attractive, particularly when high-speed motions are required and electric actuation is considered. This manipulator can be used in robotic applications involving the positioning and orientation of a rigid body in the space with high-speed, accuracy and high stiffness or as a simulator or others high-precision or high-speed devices. After introducing the mechanism, inverse kinematics analysis is presented. By the virtue of complexity of analytic solution, an algorithm is utilized which can numerically find possible of solutions and choose the one with applicable configuration. Then the workspace of manipulator is obtained by means of proposed numerical solution.

Parametric Design of a Spherical Eight-Bar Linkage Based on a Spherical Parallel Manipulator

2008 ◽  
Vol 1 (1) ◽  
Author(s):  
Gim Song Soh ◽  
J. Michael McCarthy
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Parametric Design ◽  
Degree Of Freedom ◽  
Kinematics Analysis ◽  
End Effector ◽  
Arbitrary Base ◽  
Three Degree Of Freedom ◽  
Spherical Parallel Manipulator

This paper presents a procedure that determines the dimensions of two constraining links to be added to a three degree-of-freedom spherical parallel manipulator so that it becomes a one degree-of-freedom spherical (8, 10) eight-bar linkage that guides its end-effector through five task poses. The dimensions of the spherical parallel manipulator are unconstrained, which provides the freedom to specify arbitrary base attachment points as well as the opportunity to shape the overall movement of the linkage. Inverse kinematics analysis of the spherical parallel manipulator provides a set of relative poses between all of the links, which are used to formulate the synthesis equations for spherical RR chains connecting any two of these links. The analysis of the resulting spherical eight-bar linkage verifies the movement of the system.

scholarly journals A Six Degree of Freedom Epicyclic-Parallel Manipulator

2012 ◽  
Vol 4 (4) ◽  
Author(s):  
Chao Chen ◽  
Thibault Gayral ◽  
Stéphane Caro ◽  
Damien Chablat ◽  
Guillaume Moroz ◽  
...  
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degree Of Freedom ◽  
Kinematics Analysis ◽  
End Effector ◽  
Six Dof ◽  
Six Degree Of Freedom

A new six-dof epicyclic-parallel manipulator with all actuators allocated on the ground is introduced. It is shown that the system has a considerably simple kinematics relationship, with the complete direct and inverse kinematics analysis provided. Further, the first and second links of each leg can be driven independently by two motors. The serial and parallel singularities of the system are determined, with an interesting feature of the system being that the parallel singularity is independent of the position of the end-effector. The workspace of the manipulator is also analyzed with future applications in haptics in mind.

Inverse Kinematics and Dynamics of a 3-DOF Spatial Parallel Manipulator

2012 ◽  
Vol 229-231 ◽  
pp. 2280-2284
Author(s):  
Jian Xin Yang ◽  
Ben Zhao ◽  
Chun Li Li
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Control Algorithm ◽  
Degrees Of Freedom ◽  
Rotational Degree ◽  
Kinematics Analysis ◽  
Inverse Dynamic ◽  
Generalized Coordinates ◽  
Euler Approach ◽  
Position And Orientation

Recently the parallel manipulator with less DOFs has attracted industry and academia, but the research on its dynamics is still an open problem. In this paper, the inverse dynamic of a spatial parallel manipulator with two translational degrees of freedom and one rotational degree of freedom is studied based on the Newton-Euler approach. The kinematics analysis is firstly performed in a closed form. The inverse dynamic equation of this manipulator is formulated by using the Lagrange multiplier approach and choosing the Cartesian position and orientation as the generalized coordinates. Finally a numerical example is given for the kinematic and dynamic simulation of this manipulator. The model will be useful to improve the design of the mechanical components and the control algorithm.

scholarly journals Design and performance analysis of a 3-RRR spherical parallel manipulator for hip exoskeleton applications

2017 ◽  
Vol 4 ◽  
pp. 205566831769759 ◽  
Author(s):  
Soheil Sadeqi ◽  
Shaun P Bourgeois ◽  
Edward J Park ◽  
Siamak Arzanpour
Keyword(s):  
Experimental Study ◽  
Performance Analysis ◽  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Jacobian Matrix ◽  
Kinematics Analysis ◽  
Normal Gait ◽  
Sensitivity Indices ◽  
And Performance ◽  
Spherical Parallel Manipulator

This paper presents the design and performance analysis and experimental study of a 3-RRR spherical parallel manipulator in the context of hip exoskeleton applications. First, the mechanism’s inverse kinematics analysis and Jacobian matrix development are revisited. Manipulability, dexterity, and rotational sensitivity indices are then evaluated for two different methods of attachment to the human body. The superior attachment method in terms of these performance measures is indicated, and an experimental study based on the selected method is conducted; the experiment involves testing the capability of a 3-RRR manipulator’s end-effector in tracking the motions experienced by a human hip joint during normal gait cycles. Finally, the results of the experimental study indicate that the manipulator represents a feasible hip exoskeleton solution providing total kinematic compliance with the human hip joint’s 3-degree-of-freedom motion capabilities.

Kinematic and Singularity Analysis of 3 PRR Parallel Manipulator

2011 ◽  
Vol 403-408 ◽  
pp. 5015-5021 ◽  
Author(s):  
A. Arockia Selvakumar ◽  
K. Karthik ◽  
A.L. Naresh Kumar ◽  
R. Sivaramakrishnan ◽  
K. Kalaichelvan
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Singularity Analysis ◽  
Walking Machines ◽  
Adams Simulation ◽  
Movable Platform ◽  
The One ◽  
Machining Operations ◽  
Three Degrees Of Freedom

Three degrees of freedom (DOF) parallel manipulator is used in the applications such as base for various machining operations, drilling inclined holes, airplane and automobile simulators, walking machines, pointing devices, contour milling and machining etc. The 3 DOF parallel manipulator consists of a fixed platform and a movable platform, which are connected by means of three identical links. Pin joints are used to connect the one end of the link and the lead screw pair. This 3 DOF 1R2T parallel manipulator is having one orientation freedom and two translational freedom, which is actuated by means of screw pair, which in turn operated by a stepper motor. The inverse kinematics and velocity equations of this mechanism have been derived mathematically. Based on this inverse kinematics and velocity equations singularity analysis is completed. Two kinds of singularities are compared with ADAMS simulation results and a prototype of the manipulator is developed for further study.

Kinematics analysis of a redundantly actuated 4-RUU translational parallel manipulator and its nonredundant 3-RUU counterpart

2016 ◽  
Vol 231 (17) ◽  
pp. 3238-3249 ◽  
Author(s):  
Haibo Qu ◽  
Sheng Guo ◽  
Ying Zhang
Keyword(s):  
Comparative Study ◽  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Screw Theory ◽  
Parallel Manipulators ◽  
Kinematics Analysis ◽  
Universal Joint ◽  
Torque Distribution ◽  
Redundantly Actuated

This paper presents a comparative study of the kinematics and torque distribution performance of a nonredundant 3-RUU and a redundantly actuated 4-RUU (R: revolute joint, U: universal joint) translational parallel manipulators. First, the reason for unexpected rotations is analyzed based on screw theory and a redundantly actuated 4-RUU translational parallel manipulator is presented to eliminate the unexpected rotations. Then, the degrees of freedom, inverse kinematics, Jacobian matrices, and workspace of 3-RUU and 4-RUU parallel manipulators are analyzed. Finally, a comparative study of torque distribution is performed. The results show that the redundantly actuated 4-RUU parallel manipulator can overcome the unexpected rotations and possesses an improved torque distribution, compared with the nonredundant 3-RUU parallel manipulator.

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