Kinematic Analysis of a New 3-DOF Translational Parallel Manipulator

2005 ◽  
Author(s):  
Yangmin Li ◽  
Qingsong Xu
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Screw Theory ◽  
Industrial Applications ◽  
Forward Kinematics ◽  
Physical Constraints ◽  
Mechanical Joints ◽  
Reachable Workspace ◽  
Three Degrees Of Freedom

A novel three-degrees-of-freedom (3-DOF) translational parallel manipulator (TPM) with orthogonally arranged fixed actuators is proposed in this paper. The mobility of the manipulator is analyzed via screw theory. The inverse kinematics, forward kinematics, and velocity analyses are performed and the singularities and isotropic configurations are investigated in details afterwards. Under different cases of physical constraints imposed by mechanical joints, the reachable workspace of the manipulator is geometrically generated and compared. Especially, it is illustrated that the manipulator in principle possesses a fairly regular like workspace with a maximum cuboid defined as the usable workspace inscribed and one isotropic configuration involved. Furthermore, the singularity within the usable workspace is verified, and simulation results show that there exist no any singular configurations within the specified workspace. Therefore, the presented new manipulator has a great potential for high precision industrial applications such as assembly, machining, etc.

Kinematic Analysis and Design of a New 3-DOF Translational Parallel Manipulator

2005 ◽  
Vol 128 (4) ◽  
pp. 729-737 ◽  
Author(s):  
Yangmin Li ◽  
Qingsong Xu
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Screw Theory ◽  
Forward Kinematics ◽  
Velocity Analysis ◽  
Analysis And Design ◽  
Reachable Workspace ◽  
Three Degrees Of Freedom ◽  
Real Machine

A new three degrees of freedom (3-DOF) translational parallel manipulator (TPM) with fixed actuators called a 3-PRC TPM is proposed in this paper. The mobility of the manipulator is analyzed via screw theory. The inverse kinematics, forward kinematics, and velocity analysis are performed and the singular and isotropic configurations are identified afterward. Moreover, the mechanism design to eliminate all singularities and generate an isotropic manipulator has been presented. With the variation on architectural parameters, the reachable workspace of the manipulator is generated and compared. Especially, it is illustrated that the manipulator in principle possesses a uniform workspace with a constant hexagon shape cross section. Furthermore, the dexterity characteristics are investigated in the local and global sense, respectively, and some considerations for real machine design have been proposed as well.

Design and analysis of a new singularity-free three-prismatic-revolute-cylindrical translational parallel manipulator

2007 ◽  
Vol 221 (5) ◽  
pp. 565-576 ◽  
Author(s):  
Q Xu ◽  
Y Li
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Screw Theory ◽  
Forward Kinematics ◽  
Design Rules ◽  
Physical Constraints ◽  
Mechanical Joints ◽  
Reachable Workspace ◽  
Regular Shape ◽  
Singular Configuration

A new three-prismatic-revolute-cylindrical (three-PRC) translational parallel manipulator (TPM) with orthogonally arranged fixed actuators is proposed in this paper. The mobility of the manipulator is analysed via screw theory. The inverse kinematics, forward kinematics, and velocity analyses are performed and the singularities and isotropic configurations are identified afterwards. Moreover, the mechanism design rules producing a singularity-free manipulator have been generated. Under different cases of physical constraints subject to mechanical joints, the reachable workspace of the manipulator is geometrically determined and compared. In particular, it is illustrated that the manipulator has a regular shape workspace with a maximum cuboid defined as the usable workspace inscribed and one isotropic configuration involved. Furthermore, to obtain a large usable workspace, the architecture design of a three-PRC TPM is carried out and the singularity property within the usable workspace is verified. Simulation results show that there are no singular configuration within the workspace, which reveal the validity of design rules for a singularity-free three-PRC TPM.

Mobility Analysis and Inverse Kinematics of a Novel 2R1T Parallel Manipulator

2011 ◽  
Author(s):  
Enrique Cuan-Urquizo ◽  
Ernesto Rodriguez-Leal ◽  
Jian S. Dai
Keyword(s):  
Software Package ◽  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Screw Theory ◽  
Parallel Robot ◽  
Mobility Analysis ◽  
Closure Equation ◽  
Inverse Kinematics Problem ◽  
Three Degrees Of Freedom

This paper presents a novel parallel robot constructed with a three-limb CUP architecture. The mobility of the mechanism is obtained using screw theory, showing that the platform has three degrees of freedom, namely: (i) translation along the Z axis; and (ii) two rotations. The position analysis investigates the loop-closure equation resulting in a unique solution for the inverse kinematics problem and the identification of parasitic motions of the platform. The paper validates the analytical solution with a numerical example, where the results are compared with motion simulations of the manipulator using a commercially available software package.

A 2(3-RRPS) parallel manipulator inspired by Gough–Stewart platform

Robotica ◽  
2012 ◽  
Vol 31 (3) ◽  
pp. 381-388 ◽  
Author(s):  
Jaime Gallardo-Alvarado ◽  
Mario A. García-Murillo ◽  
Eduardo Castillo-Castaneda
Keyword(s):  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Screw Theory ◽  
Parallel Manipulators ◽  
Forward Kinematics ◽  
Triangular Prism ◽  
Input Output ◽  
Six Degrees Of Freedom ◽  
Moving Platform

SUMMARYThis study addresses the kinematics of a six-degrees-of-freedom parallel manipulator whose moving platform is a regular triangular prism. The moving and fixed platforms are connected to each other by means of two identical parallel manipulators. Simple forward kinematics and reduced singular regions are the main benefits offered by the proposed parallel manipulator. The Input–Output equations of velocity and acceleration are systematically obtained by resorting to reciprocal-screw theory. A case study, which is verified with the aid of commercially available software, is included with the purpose to exemplify the application of the method of kinematic analysis.

scholarly journals A novel multiple working modes parallel mechanism with variable workspace

2018 ◽  
Vol 234 (1) ◽  
pp. 211-224
Author(s):  
Dian Li ◽  
Sheng Guo ◽  
Haibo Qu
Keyword(s):  
Trajectory Planning ◽  
Parallel Mechanism ◽  
Degrees Of Freedom ◽  
Screw Theory ◽  
Forward Kinematics ◽  
3D Printer ◽  
Determination Method ◽  
Jacobian Matrices ◽  
Three Degrees Of Freedom

In this paper, a novel three-degrees-of-freedom multiple working modes parallel mechanism with variable workspace is proposed. Several studies including kinematic and prescribed trajectory planning are performed. First, the degrees of freedom of mechanism's two working modes are calculated based on screw theory. A prototype made by 3D printer also has been developed. Then, the inverse/forward kinematics and Jacobian matrices are obtained. The workspace and singularity are also analyzed, which show that the proposed parallel mechanism possesses singularity-free internal workspace. Finally, a working mode determination method is presented, which can be used to obtain suitable workspace in order to fully contain a prescribed trajectory. An example trajectory is used to verify the reasonability of the proposed method.

scholarly journals A Parallel Manipulator With Only Translational Degrees of Freedom

1996 ◽  
Author(s):  
Lung-Wen Tsai ◽  
Richard Stamper
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Translational Motion ◽  
Forward Kinematics ◽  
Closed Form Solutions ◽  
Real Solutions ◽  
Revolute Joints ◽  
Inverse Kinematics Problem ◽  
Three Degree Of Freedom

Abstract This paper presents a novel three degree of freedom parallel manipulator that employs only revolute joints and constrains the manipulator output to translational motion. Closed-form solutions are developed for both the inverse and forward kinematics. It is shown that the inverse kinematics problem has up to four real solutions, and the forward kinematics problem has up to 16 real solutions.

Motion Plan of a Parallel Kinematic Machine Based on Stiffness Control

2010 ◽  
Author(s):  
Zhongzhe Chi ◽  
Dan Zhang ◽  
Qiaokang Liang
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Tool Path ◽  
Parallel Kinematic Machine ◽  
Tool Path Planning ◽  
Parallel Kinematic ◽  
Stiffness Control ◽  
Three Degrees Of Freedom

This paper proposes a design for a machine tool based on a parallel kinematic manipulator with three degrees of freedom, including rotations about x and y axis and translation along z axe. Based on the investigated displacement and inverse kinematics, the system stiffness of the parallel manipulator is conducted. Then in order to observe the highest system stiffness single and multi objective optimizations are performed in terms of rotation angles about x and y axis and translation displacement along z axe. Finally, a case study of tool path planning is presented to demonstrate the application of stiffness mapping.

A Novel Three-DOF 3-RRRRR Parallel Platform Mechanism and Its Position Analysis

2005 ◽  
Author(s):  
Shihua Li ◽  
Zhen Huang ◽  
Jianguang Wu
Keyword(s):  
Inverse Kinematics ◽  
Parallel Mechanism ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Initial Configuration ◽  
Parallel Platform ◽  
Moving Platform ◽  
General Configuration ◽  
Novel Model ◽  
Three Degrees Of Freedom

In order to enrich deficient-DOF parallel mechanism models, a novel model of a 3-DOF platform manipulator is presented and establish its inverse kinematics equation. Here, studies instantaneous motions of 3-RRRRR parallel manipulator at initial configuration and general configuration. Find: it has three degrees of freedom at initial configuration and after translated along the X, Y, Z axis. Secondly, the relation is given between every active input (θ1) and moving platform position by using D-H means, the solution is developed for inverse kinematics, numerical example for the position kinematic is presented, the figure of workspace along the Z-axis is drawn finally. The mechanism can be applied to jiggle mechanism.

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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