The slider motion error analysis by positive solution method in parallel mechanism

2016 ◽  
Author(s):  
Xiaoqing Ma ◽  
Lisong Zhang ◽  
Liang Zhu ◽  
Wenguo Yang ◽  
Penghao Hu
Keyword(s):  
Error Analysis ◽  
Positive Solution ◽  
Parallel Mechanism ◽  
Solution Method ◽  
Motion Error ◽  
Slider Motion

Research on Optimizing Numerical Calculation of Posture Equations Based on Six DOF Stewart Platform

2014 ◽  
Vol 686 ◽  
pp. 549-553
Author(s):  
Yin Mu Wei
Keyword(s):  
Numerical Calculation ◽  
Numerical Method ◽  
Positive Solution ◽  
Parallel Mechanism ◽  
Solution Method ◽  
Paper Study ◽  
Kinematics Model ◽  
Six Dof ◽  
Simulation Results ◽  
Position Solution

The paper study position positive solution method based on 6-TPS parallel mechanism, and establish general kinematics model of 6-TPS parallel mechanism, gives the numerical method of positive solution based on a kind of position, deduced the forward position solution iteration format, and use MATLAB for the 6-TPS parallel mechanism kinematics to simulation, results show that solving program has stability, fast, effective.

Positive Analysis of a New Type of Planar 3-DOF Parallel Mechanisms

2012 ◽  
Vol 522 ◽  
pp. 659-662
Author(s):  
Zhao Xin Meng ◽  
Xiao Gang Lei ◽  
Chao Mei Zhang
Keyword(s):  
Mathematical Model ◽  
Error Analysis ◽  
Positive Solution ◽  
Parallel Mechanism ◽  
Control Algorithm ◽  
Movement Analysis ◽  
Parallel Mechanisms ◽  
New Type ◽  
And Control ◽  
Polygon Method

The planar 3-DOF parallel mechanism was developed as a part of the pushing device for the wood sawing. Using closed vector polygon method to make positive movement analysis of the mechanism, establish the positive solution mathematical model. It provided the theory bases for the error analysis and control algorithm of the planar 3-DOF parallel mechanism.

Error Analysis of Absolute Interferometric Testing Based on Reconstruction of Rotational Shear

2011 ◽  
Vol 346 ◽  
pp. 620-626
Author(s):  
Xin Jia ◽  
Ting Wen Xing
Keyword(s):  
Error Analysis ◽  
Coordinate System ◽  
Absolute Measurement ◽  
Zernike Polynomials ◽  
Motion Error ◽  
Rotation Error ◽  
Angle Rotation ◽  
Rotational Shear

Recently most of modern absolute measurement rotation the flats or spheres in the interferometer. We review traditional absolute testing of flats methods and emphasize the method of reconstruction of rotational shear. The rotation of the lens can lead to some errors such as angle rotation error, center excursion error and other coordinate system motion error. 36 Zernike polynomials are used to generate 3 flats and Matlab are used to simulate the arithmetic. There have some phase problems on FFT arithmetic in Matlab which can cause some errors. Results are shown about how these errors influence the accuracy. The analysis results can also be used in other interferometer systems which have the motion of the coordinate system.

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.

scholarly journals Motion Error Analysis and Modeling Technology of CNC Camshaft Grinder

2018 ◽  
Vol 221 ◽  
pp. 04002
Author(s):  
Jinwei Fan ◽  
Haohao Tao ◽  
Changjun Wu ◽  
Yuhang Tang
Keyword(s):  
Error Analysis ◽  
Error Compensation ◽  
Constraint Equation ◽  
Motion Equation ◽  
Error Modeling ◽  
Coordinate Systems ◽  
Machine Error ◽  
Motion Error ◽  
Actual Motion ◽  
Moving Parts

Taking certain CNC camshaft grinder as the subject its motion error analysis and modeling were studied. The movement forms and types of errors between the moving parts were analysed, the movement between coordinate systems of the adjacent bodies was used to express the movement between the two adjacent bodies, and the ideal motion equation and actual motion equation in case of errors between the adjacent bodies were set up. Actual motion equation between adjacent bodies was made and further extended to analyse arbitrary low-order body arrays, which provides a theoretical basis for studying the multi-branch CNC camshaft grinding machine error modeling. Complex multi-branch chain CNC camshaft grinder simplified was made as a simple multibody system, and corresponding body coordinate systems and motion reference coordinate systems for moving parts were established to calculate the corresponding transformation matrix between adjacent bodies. Moving parts of the machine were divided into “workpieces-bed” and “wheel-bed” two kinematic chains. The precision constraint equation of the machine is Pt = Pw in case of using errors influence, and the constraint equation was solved. It provides necessary conditions for study of CNC camshaft grinder error compensation. Results show that the machine precision is significantly improved after error compensation.

Displacement input coordination of Stewart derivative parallel mechanism with analytical positive solution

2020 ◽  
Vol 28 (1) ◽  
pp. 151-165
Author(s):  
叶鹏达 YE Peng-da ◽  
尤晶晶 YOU Jing-jing ◽  
沈惠平 SHEN Hui-ping ◽  
吴洪涛 WU Hong-tao ◽  
茹 煜 RU Yu
Keyword(s):  
Positive Solution ◽  
Parallel Mechanism
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