Error Model and Simulation Study of Double Parallel-Joint Coordinate Measuring Machine

2011 ◽  
Author(s):  
Xia Guisuo ◽  
Fei Yetai ◽  
Yu Yongshu ◽  
Zhao Jiliang
Keyword(s):  
Simulation Study ◽  
Coordinate Measuring Machine ◽  
Error Model ◽  
Model And Simulation ◽  
Measuring Machine

Error Modeling and Analysis of Articulated Arm Coordinate Measuring Machines

2013 ◽  
Vol 798-799 ◽  
pp. 464-467
Author(s):  
Jian Lu ◽  
Guan Bin Gao ◽  
Hui Ping Yang
Keyword(s):  
Kinematic Model ◽  
Coordinate Measuring Machine ◽  
Calibration Method ◽  
Error Model ◽  
Error Modeling ◽  
Modeling And Analysis ◽  
Low Weight ◽  
New Type ◽  
Measuring Machine ◽  
Value Decomposition

The Articulated Arm Coordinate Measuring Machine (AACMM) is a new type of non-orthogonal system precision instrument with the advantages of large measuring range, small volume, low weight and portability. To improve the measurement accuracy of AACMMs, an error analysis and calibration method for AACMMs is proposed. The kinematic model of the AACMM was established with D-H model, and then the error model of the AACMM was established on the basis of kinematic model with total differential transforming method and the singular value decomposition of Jacobian matrix and the decomposition of orthogonal matrix elementary row transform. Finally, the error model was validated by position error residual calculation. The error model provides a theoretical foundation for calibration and compensation of the AACMM.

Error Model and Calibration Analysis of the Flexible Coordinate Measuring Machine

2011 ◽  
Vol 121-126 ◽  
pp. 3273-3277 ◽  
Author(s):  
Fang Li ◽  
Shu Gui Liu ◽  
Lei Zhao
Keyword(s):  
Mathematical Model ◽  
Coordinate Measuring Machine ◽  
Least Square Method ◽  
Coefficient Matrix ◽  
Error Model ◽  
Least Square ◽  
Parameter Calibration ◽  
Measuring Machine ◽  
Improving Accuracy ◽  
The Mathematical Model

A new 5-DOF flexible coordinate measuring machine (CMM) is introduced in this paper, which uses REVO system produced by Renishaw. According to the D-H method, the mathematical model is built, and then the error model of the flexible CMM is derived. The parameter calibration based on the nonlinear least square method is analyzed theoretically. Due to the disadvantages of Gauss-Newton method, LM method is researched, which improved the singularity of the coefficient matrix. The calibration analysis is a basis for improving accuracy of the flexible CMM.

Kinematic Modeling and Error Analysis for a 3DOF Parallel-Link Coordinate Measuring Machine

2006 ◽  
Vol 532-533 ◽  
pp. 313-316 ◽  
Author(s):  
De Jun Liu ◽  
Hua Qing Liang ◽  
Hong Dong Yin ◽  
Bu Ren Qian
Keyword(s):  
Kinematic Model ◽  
Coordinate Measuring Machine ◽  
Inverse Kinematic ◽  
Differential Method ◽  
Error Model ◽  
Structural Parameter ◽  
Kinematic Modeling ◽  
Position Errors ◽  
Measuring Machine ◽  
Parallel Link

First, the forward kinematic model, the inverse kinematic model and the error model of a kind of coordinate measuring machine (CMM) using 3-DOF parallel-link mechanism are established based on the spatial mechanics theory and the total differential method, and the error model is verified by computer simulation. Then, the influence of structural parameter errors on probe position errors is systematically considered. This research provides an essential theoretical basis for increasing the measuring accuracy of the parallel-link coordinate measuring machine. It is of particular importance to develop the prototype of the new measuring equipment.

Vibration Analysis and Research on Air Bearing Block of CMM

2014 ◽  
Vol 852 ◽  
pp. 543-546
Author(s):  
Xiao Qing Zhao
Keyword(s):  
Stokes Equations ◽  
Simulation Analysis ◽  
Dynamic Error ◽  
Coordinate Measuring Machine ◽  
Element Model ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Model And Simulation ◽  
Measuring Machine ◽  
Stress And Deformation

This paper describes the CMM main error sources and their classification, Dynamic error of flotation blocks vibration due to a single degree of freedom is for analysis, the use of the Navier - Stokes equations and mathematical modeling equations of Newtonian mechanics, the establishment of finite element model and simulation analysis, the movement of the coordinate measuring machine in the dynamic stress and deformation and vibration conditions for the design of coordinate measuring machine provides a new approach.

scholarly journals An Angle Error Compensation Method Based on Harmonic Analysis for Integrated Joint Modules

Sensors ◽  
2020 ◽  
Vol 20 (6) ◽  
pp. 1715
Author(s):  
Yi Hu ◽  
Yuyi Zhan ◽  
Liang Han ◽  
Penghao Hu ◽  
Bing Ye ◽  
...  
Keyword(s):  
Harmonic Analysis ◽  
Coordinate Measuring Machine ◽  
Angle Measurement ◽  
Error Model ◽  
The Self ◽  
Model Parameters ◽  
Angle Error ◽  
Positioning Accuracy ◽  
Measuring Machine ◽  
High Repeatability

Nowadays, integrated joint modules are increasingly adopted in manipulators for their advantages of high integration, miniaturization and high repeatability positioning accuracy. The problem of generally low absolute positioning accuracy (namely angle measurement accuracy) must be solved before they can be introduced into the self-driven articulated arm coordinate measuring machine which is under study in our laboratory. In this study, the sources of joint module’s angle error were analyzed and the error model based on harmonic analysis was established. Two integrated joint modules were calibrated on the self-designed calibration platform and the model parameters were deduced, respectively. The angle error was then compensated in the experiments and the results demonstrated that the angle error of the joint modules was reduced by 82.03% on average. The established angle error model can be effectively applied into the self-driven articulated arm coordinated measuring machine.

Error Detection Technology for Calibrating Precision of Non-Contact Coordinate Measuring Machine

2014 ◽  
Vol 625 ◽  
pp. 42-46
Author(s):  
Qing Zhou Sun ◽  
Ji Zhao ◽  
Shi Jun Ji ◽  
Lei Zhang ◽  
Shu Hong Zhou
Keyword(s):  
Coordinate Transformation ◽  
Laser Interferometer ◽  
Detection Method ◽  
Coordinate Measuring Machine ◽  
Error Model ◽  
Displacement Sensor ◽  
Two Dimensional ◽  
Transformation Theory ◽  
Measuring Machine ◽  
Dimensional Ball

In this paper, a non-contact coordinate measuring machine with laser displacement sensor, which consists of three translational axes, is designed and built independently. In order to obtain the measuring precision, it needs to calibrate the coordinate measuring machine. Learning from the calibration method of contact coordinate measuring machine, a detection method is proposed for calibrating the precision of the non-contact coordinate measuring machine. Based on the homogeneous coordinate transformation theory, the error model of coordinate measuring machine is built under the condition that the positioning errors, angular errors, straightness errors and perpendicularity errors are taken into comprehensive consideration. The final error expressions of three axes can be calculated in the use of error model and homogeneous coordinate transformation theory. The final values of the errors are acquired through the analysis of the error curves, which can be obtained by using the laser interferometer system. The method proposed in this paper is using the two-dimensional ball plate to measure the errors. By locating three different positions of the ball plate in the space and using automatic centering procedure to measure the center position which is previously calibrated, the final errors of three axes can be detected directly. By comparing the two results, it testifies that the two-dimensional ball plate detection method is reasonable. Comparing with the laser interferometer method, the two-dimensional ball plate detection method reduces the workload of adjusting the optical path and the time of measuring errors, which has the vital significance in calibrating the precision of non-contact coordinate measuring machine.

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