Study on the Kinematics of 3-TPS Hybrid Machine Tool

2009 ◽  
Vol 16-19 ◽  
pp. 1329-1334
Author(s):  
Xiang Zhi Meng ◽  
Shu Jun Li ◽  
Ming Li
Keyword(s):  
Machine Tool ◽  
Structural Design ◽  
Kinematic Analysis ◽  
Degrees Of Freedom ◽  
Jacobian Matrix ◽  
Hybrid Machine Tool ◽  
Locking Mechanism ◽  
Fixed Base ◽  
Hybrid Machine ◽  
Moving Platform

A 3-TPS(RRR) hybrid machine tool that could process vertically as well as horizontally was designed in Northeastern University. A parallel locking mechanism, equipped between the moving platform and the fixed base, is used to constrain partial degrees of freedom (DOF) of the platform. It leads that the platform has three translational DOF and a rotate DOF. The kinematic analysis was discussed in this paper. Several important issues were addressed, namely, position, velocity, acceleration, Jacobian matrix. A simulation was also carried out, which lay the base on structural design and dynamic analysis.

Dynamic Analysis of a Biglide Parallel Grinder

2005 ◽  
Vol 291-292 ◽  
pp. 495-500
Author(s):  
Ping Zou
Keyword(s):  
Machine Tool ◽  
Dynamic Analysis ◽  
Degrees Of Freedom ◽  
Jacobian Matrix ◽  
Lagrangian Formulation ◽  
Dynamic Equations ◽  
Six Degrees Of Freedom ◽  
Moving Platform ◽  
Drill Point ◽  
Joint Velocity

In this paper, the moving platform of the biglide parallel grinder with six degrees of freedom will keep moving horizontally at any time using parallelograms. Besides grinding the helical drill point, this grinder also can work as drilling and welding machine tool as well as a CMM. The joint-velocity Jacobian matrix is calculated. Moreover, the dynamic equations are derived by applying the Lagrangian formulation.

Accuracy Analysis and Simulation of Three Degrees of Freedom Parallel Machine Tool

2010 ◽  
Vol 37-38 ◽  
pp. 73-76
Author(s):  
Xing Shan Li ◽  
Jun Wang ◽  
Guang Qi Cai
Keyword(s):  
Machine Tool ◽  
Degrees Of Freedom ◽  
Influence Factors ◽  
Parallel Machine ◽  
Matrix Methods ◽  
Fixed Base ◽  
Moving Platform ◽  
Parallel Machine Tool ◽  
Serial Chains ◽  
Three Degrees Of Freedom

This paper proposes a novel three degrees of freedom parallel machine tool. The parallel machine tool consists of three serial chains and a fixed base and a moving platform which can be moved in a pose space corresponding to the three degrees of freedom. By using matrix methods, a error model of the parallel machine was developed. The explicit solution of the error of joint and the stroke error of telescopic link were solved for analysis of influence factors of error on the position of moving platform. It provided a theoretical foundation for error compensation of parallel machine tool.

Error Comparison and Analysis of Parallel and Constraint Mechanism for 3-TPS Hybrid Machine Tool

2011 ◽  
Vol 127 ◽  
pp. 277-282
Author(s):  
Peng Fei Dang ◽  
Li Jin Fang
Keyword(s):  
Machine Tool ◽  
Parallel Mechanism ◽  
Parallel Robot ◽  
Error Model ◽  
Position Error ◽  
Robot Kinematics ◽  
Motion Error ◽  
Movable Plate ◽  
Hybrid Machine Tool ◽  
Hybrid Machine

This paper establishes position error model based on parallel robot kinematics theory, and analyses position error of the 3-TPS hybrid machine tool. Firstly, to calculate position error of the movable plate caused by the parallel mechanism links, through error model of the parallel mechanism which is established through inverse kinematics of the hybrid machine tool. Then, according to the error model of constraint mechanism established by transformation matrix method, the position error has been simulated and calculated. Finally, this paper compares the effects of both mechanisms. The analysis indicates the link error of constraint mechanism has more influence on movable plate posture than parallel mechanism, and provides help with motion error compensation and kinematic calibration.

Dynamic Modeling of a Parallel Manipulator With Three Translational Degrees of Freedom

1998 ◽  
Author(s):  
Richard Stamper ◽  
Lung-Wen Tsai
Keyword(s):  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Close Agreement ◽  
Jacobian Matrix ◽  
Parallel Manipulators ◽  
Kinematic Structure ◽  
End Effector ◽  
Moving Platform ◽  
Euler Approach ◽  
Computationally Intensive

Abstract The dynamics of a parallel manipulator with three translational degrees of freedom are considered. Two models are developed to characterize the dynamics of the manipulator. The first is a traditional Lagrangian based model, and is presented to provide a basis of comparison for the second approach. The second model is based on a simplified Newton-Euler formulation. This method takes advantage of the kinematic structure of this type of parallel manipulator that allows the actuators to be mounted directly on the base. Accordingly, the dynamics of the manipulator is dominated by the mass of the moving platform, end-effector, and payload rather than the mass of the actuators. This paper suggests a new method to approach the dynamics of parallel manipulators that takes advantage of this characteristic. Using this method the forces that define the motion of moving platform are mapped to the actuators using the Jacobian matrix, allowing a simplified Newton-Euler approach to be applied. This second method offers the advantage of characterizing the dynamics of the manipulator nearly as well as the Lagrangian approach while being less computationally intensive. A numerical example is presented to illustrate the close agreement between the two models.

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