Fast volumetric error assessment of a gantry-type machine using multi-degree-of-freedom laser-based sensors and Vector Transfer Model

Gantry-type machines are normally large-scaled manufacturing equipment, such as contact/noncontact measuring machines and cutting machines. Its actual positional shift of the functional point (FP) from the ideal position in three directional components within the working volume is called the volumetric error and is mainly caused by geometric errors of each axis. Currently, the most popular volumetric error model with homogeneous transformation matrix (HTM) method is based on linkage-chain kinematics, which is lack of measurement principles in practice. Besides, most commercial instruments can only provide one-by-one geometric error measurement, which is too time consuming. In this paper, a new volumetric error modeling method developed by the author’s group, called the vector transfer (VT) method based on the Abbe principle and Bryan principle, was applied to a moving gantry-type optical measuring machine (OMM). The geometric errors in each axis were simultaneously measured by the developed multi-degree-of-freedom measuring systems (MDFMs) to reduce the measurement time and uncertainty. The volumetric errors of tested OMM were accurately assessed by experimental verification to the accuracy of 93%, which proved the effectiveness and applicability of the VT method.

[1]  Daniel S. Sawyer,et al.  A novel artifact for testing large coordinate measuring machines , 2000 .

[2]  Pengcheng Hu,et al.  Compensation of errors due to incident beam drift in a 3 DOF measurement system for linear guide motion. , 2015, Optics express.

[3]  Yusuf Altintas,et al.  Modeling and compensation of volumetric errors for five-axis machine tools , 2016 .

[4]  Hoon-Hee Lee,et al.  Total measurement of geometric errors of a three-axis machine tool by developing a hybrid technique , 2016 .

[5]  Jun Ni,et al.  A displacement measurement approach for machine geometric error assessment , 2001 .

[6]  Jenq-Shyong Chen,et al.  Geometric error calibration of multi-axis machines using an auto-alignment laser interferometer , 1999 .

[7]  Seung-Han Yang,et al.  Measurement and verification of position-independent geometric errors of a five-axis machine tool using a double ball-bar , 2013 .

[8]  Kuang-Chao Fan,et al.  A novel modeling of volumetric errors of three-axis machine tools based on Abbe and Bryan principles , 2020 .

[9]  Kuang-Chao Fan,et al.  Techniques of multi-degree-of-freedom measurement on the linear motion errors of precision machines , 2014 .

[10]  Hai Wang,et al.  Design analysis and applications of a 3D laser ball bar for accuracy calibration of multiaxis machines , 2004 .

[11]  Yoshikazu Arai,et al.  Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage , 2006 .

[12]  Li Zhuang,et al.  Integrated geometric error modeling, identification and compensation of CNC machine tools , 2012 .

[13]  Jorge Santolaria,et al.  Identification strategy of error parameter in volumetric error compensation of machine tool based on laser tracker measurements , 2012 .

[14]  J. B. Bryan,et al.  The Abbé principle revisited: An updated interpretation , 1979 .

[15]  John C. Ziegert,et al.  The laser ball bar: a new instrument for machine tool metrology , 1994 .

[16]  Zhenjiu Zhang,et al.  A general strategy for geometric error identification of multi-axis machine tools based on point measurement , 2013 .

[17]  Jindong Wang,et al.  Research on the base station calibration of multi-station and time-sharing measurement based on hybrid genetic algorithm , 2016 .

[18]  Allan D. Spence,et al.  Kinematic and geometric error compensation of a coordinate measuring machine , 2000 .

[19]  Zichen Chen,et al.  Product of exponential model for geometric error integration of multi-axis machine tools , 2014 .

[20]  Soichi Ibaraki,et al.  Non-contact R-test with laser displacement sensors for error calibration of five-axis machine tools , 2013 .

[21]  Wei Sun,et al.  Low cost, compact 4-DOF measurement system with active compensation of beam angular drift error. , 2018, Optics express.

[22]  Y. Altintas,et al.  Generalized kinematics of five-axis serial machines with non-singular tool path generation , 2013 .

[23]  Anthony Chukwujekwu Okafor,et al.  Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics , 2000 .

[24]  Jean-Pierre Kruth,et al.  Self-calibration method and software error correction for three dimensional coordinate measuring machines using artefact measurements , 1994 .

[25]  José A. Yagüe-Fabra,et al.  Verification of Machine Tools Using Multilateration and a Geometrical Approach , 2018 .

[26]  Wang Sujuan,et al.  Identification of geometric errors of rotary axis on multi-axis machine tool based on kinematic analysis method using double ball bar , 2017 .

[27]  M. A. Donmez,et al.  A general methodology for machine tool accuracy enhancement by error compensation , 1986 .

[28]  Kuang-Chao Fan,et al.  An Innovative Dual-Axis Precision Level Based on Light Transmission and Refraction for Angle Measurement , 2020 .

[29]  Jun Ni,et al.  A multi-degree-of-freedom measuring system for CMM geometric errors , 1991 .

[30]  Seung-Han Yang,et al.  Compensation of position-independent and position-dependent geometric errors in the rotary axes of five-axis machine tools with a tilting rotary table , 2016 .

[31]  S. Weikert,et al.  R-Test, a New Device for Accuracy Measurements on Five Axis Machine Tools , 2004 .

[32]  Octavio Icasio-Hernández,et al.  Overlap method for the performance evaluation of coordinate measurement systems and the calibration of one-dimensional artifacts , 2020, Measurement Science and Technology.