Geometric error model and measuring method based on worktable for five-axis machine tools

2012 ◽  
Vol 227 (1) ◽  
pp. 32-44 ◽  
Author(s):  
Lei Jiang ◽  
Guofu Ding ◽  
Zhuang Li ◽  
Shaowei Zhu ◽  
Shengfeng Qin
Keyword(s):  
Machine Tools ◽  
Measuring Method ◽  
Geometric Error ◽  
Error Model ◽  
Five Axis

Modeling and Identification for Rotary Geometric Errors of Five-Axis Machine Tools With R-Test Measurement

2012 ◽  
Author(s):  
Yung-Yuan Hsu ◽  
Chih-Hsiang Chang ◽  
You-Tern Tsai
Keyword(s):  
Machine Tools ◽  
Estimation Method ◽  
Geometric Error ◽  
Error Model ◽  
Location Error ◽  
Measurement Device ◽  
Test Measurement ◽  
Position Errors ◽  
Axis Of Rotation ◽  
Five Axis

The main purpose of this study is to use an R-test measurement device to estimate the geometric location error of the axis of rotation of five-axis machine tools. The error model of CNC machine tool describes the relationship between the individual error source and its effects on the overall position errors. This study based ISO230 to construct a geometric error model used to measure errors in the five-axis machine tools for the R-test measurement device. This model was then used to reduce the five-axis geometric error model based solely on the location error of the axis of rotation. Moreover, based on the simplified model and the overall position errors measured by the R-test with path K4, the location errors of rotary axes and ball position errors can be estimated very accurately with the least square estimation method. Finally, paths K1 and K2 were used as testing paths. The results of the test showed that the model built in this study is accurate and is effective in estimating errors.

Precise geometric error model based on z-axis motion platform of micro v-groove machine tools

2017 ◽  
Vol 92 (9-12) ◽  
pp. 3219-3224 ◽  
Author(s):  
Huabing Zou ◽  
Yuejiao Ding ◽  
Jing Zhang ◽  
Anhui Cai ◽  
Xiaohong Zhang ◽  
...  
Keyword(s):  
Machine Tools ◽  
Geometric Error ◽  
Error Model ◽  
Motion Platform ◽  
Model Based

Table-Based Volumetric Error Compensation of Large Five-Axis Machine Tools

2016 ◽  
Vol 139 (2) ◽  
Author(s):  
Jennifer Creamer ◽  
Patrick M. Sammons ◽  
Douglas A. Bristow ◽  
Robert G. Landers ◽  
Philip L. Freeman ◽  
...  
Keyword(s):  
Machine Tool ◽  
Error Compensation ◽  
Machine Tools ◽  
Data Gathering ◽  
Measurement Data ◽  
Geometric Error ◽  
Compensation Method ◽  
Geometric Errors ◽  
Simultaneous Generation ◽  
Five Axis

This paper presents a geometric error compensation method for large five-axis machine tools. Compared to smaller machine tools, the longer axis travels and bigger structures of a large machine tool make them more susceptible to complicated, position-dependent geometric errors. The compensation method presented in this paper uses tool tip measurements recorded throughout the axis space to construct an explicit model of a machine tool's geometric errors from which a corresponding set of compensation tables are constructed. The measurements are taken using a laser tracker, permitting rapid error data gathering at most locations in the axis space. Two position-dependent geometric error models are considered in this paper. The first model utilizes a six degree-of-freedom kinematic error description at each axis. The second model is motivated by the structure of table compensation solutions and describes geometric errors as small perturbations to the axis commands. The parameters of both models are identified from the measurement data using a maximum likelihood estimator. Compensation tables are generated by projecting the error model onto the compensation space created by the compensation tables available in the machine tool controller. The first model provides a more intuitive accounting of simple geometric errors than the second; however, it also increases the complexity of projecting the errors onto compensation tables. Experimental results on a commercial five-axis machine tool are presented and analyzed. Despite significant differences in the machine tool error descriptions, both methods produce similar results, within the repeatability of the machine tool. Reasons for this result are discussed. Analysis of the models and compensation tables reveals significant complicated, and unexpected kinematic behavior in the experimental machine tool. A particular strength of the proposed methodology is the simultaneous generation of a complete set of compensation tables that accurately captures complicated kinematic errors independent of whether they arise from expected and unexpected sources.

A Complete, Continuous, and Minimal Product of Exponentials-Based Model for Five-Axis Machine Tools Calibration With a Single Laser Tracker, an R-Test, or a Double Ball-Bar

2019 ◽  
Vol 141 (4) ◽  
Author(s):  
Peng Xu ◽  
Benny C. F. Cheung ◽  
Bing Li
Keyword(s):  
Machine Tool ◽  
Machine Tools ◽  
Rigid Bodies ◽  
Error Model ◽  
Laser Tracker ◽  
Calibration Model ◽  
Transformation Matrices ◽  
Double Ball Bar ◽  
Ball Bar ◽  
Five Axis

Calibration is an important way to improve and guarantee the accuracy of machine tools. This paper presents a systematic approach for position independent geometric errors (PIGEs) calibration of five-axis machine tools based on the product of exponentials (POE) formula. Instead of using 4 × 4 homogeneous transformation matrices (HTMs), it establishes the error model by transforming the 6 × 1 error vectors of rigid bodies between different frames resorting to 6 × 6 adjoint transformation matrices. A stable and efficient error model for the iterative identification of PIGEs should satisfy the requirements of completeness, continuity, and minimality. Since the POE-based error models for five-axis machine tools calibration are naturally complete and continuous, the key issue is to ensure the minimality by eliminating the redundant parameters. Three kinds of redundant parameters, which are caused by joint symmetry information, tool-workpiece metrology, and incomplete measuring data, are illustrated and explained in a geometrically intuitive way. Hence, a straightforward process is presented to select the complete and minimal set of PIGEs for five-axis machine tools. Based on the established unified and compact error Jacobian matrices, observability analyses which quantitatively describe the identification efficiency are conducted and compared for different kinds of tool tip deviations obtained from several commonly used measuring devices, including the laser tracker, R-test, and double ball-bar. Simulations are conducted on a five-axis machine tool to illustrate the application of the calibration model. The effectiveness of the model is also verified by experiments on a five-axis machine tool by using a double ball-bar.

Dynamic and geometric error assessment of an XYC axis subset on five-axis high-speed machine tools using programmed end point constraint measurements

2010 ◽  
Vol 50 (9-12) ◽  
pp. 1063-1073 ◽  
Author(s):  
Mohamed Slamani ◽  
Rene Mayer ◽  
Marek Balazinski ◽  
Seyedhossein H. H. Zargarbashi ◽  
Serafettin Engin ◽  
...  
Keyword(s):  
Machine Tools ◽  
High Speed ◽  
Geometric Error ◽  
Error Assessment ◽  
End Point ◽  
Five Axis ◽  
High Speed Machine

R-Test Analysis Software for Error Calibration of Five-Axis Machine Tools – Application to a Five-Axis Machine Tool with Two Rotary Axes on the Tool Side –

2015 ◽  
Vol 9 (4) ◽  
pp. 387-395 ◽  
Author(s):  
Soichi Ibaraki ◽  
◽  
Yu Nagai ◽  
Hisashi Otsubo ◽  
Yasutaka Sakai ◽  
...  
Keyword(s):  
Machine Tool ◽  
Machine Tools ◽  
Three Dimensional ◽  
Geometric Error ◽  
Test Analysis ◽  
Rotary Axes ◽  
Rotary Axis ◽  
Displacement Sensors ◽  
Error Calibration ◽  
Five Axis

The R-test measures the three-dimensional displacement of a precision sphere, attached to a machine spindle, by using three displacement sensors fixed to the machine’s table. Its application to error calibration for five-axis machine tools has long been studied. This paper presents software for analyzing the measured R-test trajectories for error diagnosis and numerical compensation for rotary axis location errors and error motions. The developed software first graphically presents the measured R-test trajectories to help a user intuitively understand error motions of the rotary axes. It also numerically parameterizes the rotary axis geometric error parameters, and then generates a compensation table that can be implemented in some latest-generation commercial CNC systems. An actual demonstration of its application to a five-axis machine tool with a universal head (two rotary axes on the spindle side) is presented.

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