Influence of measurement noise and laser arrangement on measurement uncertainty of laser tracker multilateration in machine tool volumetric verification

Abstract This paper aims to present different techniques and factors that affect the measurement accuracy of a commercial laser tracker responsible for capturing checkpoints used in machine tool volumetric verification. This study was conducted to uncover various sources of error affecting the measurement uncertainty of the laser tracker, additional sources of error that further contributed to the uncertainty, and the factors influencing these techniques. We also define several noise reduction techniques for the measurements. The improvement in the accuracy of captured points focuses on a multilateration technique and its various resolution methods both analytically and geometrically. Similarly, we present trilateration and least squares techniques that can be used for laser tracker self-calibration, which is an essential parameter in multilateration. This paper presents the influence of the spatial distribution of laser trackers (LTs) in measurement noise reduction by multilateration, which produces an improvement in volumetric error machine tool reduction. A study of the spatial angle between LTs, the distance and the visibility of the point to be measured are presented using a synthetic test. All of these factors limit the scope of multilateration. Similarly, a comparison of self-calibration techniques using the least squares and trilateration methods with which to determine the relative position of the laser tracker employees is presented. We also present the influence of the relationship between the radial and angular measurement noise self-calibration processes as it relates to the volumetric error reduction achieved by the machine tool with multilateration. All studies were performed using synthetic tests generated using a synthetic data parametric generator.

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

[2]  Berthold K. P. Horn,et al.  Closed-form solution of absolute orientation using unit quaternions , 1987 .

[3]  Bijan Shirinzadeh,et al.  The measurement uncertainties in the laser interferometry-based sensing and tracking technique , 2002 .

[4]  L. M. Smith,et al.  Absolute displacement measurements using modulation of the spectrum of white light in a Michelson interferometer. , 1989, Applied optics.

[5]  Robert Schmitt,et al.  Geometric error measurement and compensation of machines : an update , 2008 .

[6]  Hanqi Zhuang,et al.  Self-calibration and mirror center offset elimination of a multi-beam laser tracking system , 1992, Robotics Auton. Syst..

[7]  T. Kurosawa,et al.  The relationship between the measurement error and the arrangement of laser trackers in laser trilateration , 2000 .

[8]  G. N. Peggs,et al.  Design of a High-Accuracy CMM Based on Multi-Lateration Techniques , 2000 .

[9]  P. Lin,et al.  Direct volumetric error evaluation for multi-axis machines , 1993 .

[10]  J. Mou,et al.  A method for enhancing the accuracy of CNC machine tools for on-machine inspection , 1992 .

[11]  Robert Schmitt,et al.  On-the-fly calibration of linear and rotary axes of machine tools and CMMs using a tracking interferometer , 2009 .

[12]  Soichi Ibaraki,et al.  Machining tests to identify kinematic errors on five-axis machine tools , 2010 .

[13]  Ralph C. Veale,et al.  Error Compensation of Coordinate Measuring Machines , 1985 .

[14]  Neil A. Duffie,et al.  Generation of Parametric Kinematic Error-Correction Functions from Volumetric Error Measurements , 1985 .

[15]  Y. Lin,et al.  Modelling of Five-Axis Machine Tool Metrology Models Using the Matrix Summation Approach , 2003 .

[16]  Jorge Santolaria,et al.  Towards an effective identification strategy in volumetric error compensation of machine tools , 2012 .

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

[18]  Markus Vincze,et al.  A Laser Tracking System to Measure Position and Orientation of Robot End Effectors Under Motion , 1994, Int. J. Robotics Res..

[19]  Seung-Woo Kim,et al.  Volumetric phase-measuring interferometer for three-dimensional coordinate metrology , 2003 .

[20]  H. Schwenke,et al.  Error mapping of CMMs and machine tools by a single tracking interferometer , 2005 .

[21]  Ying Bai,et al.  Calibration of multi-beam laser tracking systems , 2003 .

[22]  Masaomi Tsutsumi,et al.  Identification and compensation of systematic deviations particular to 5-axis machining centers , 2003 .

[23]  A.C.H. van der Wolf,et al.  A General Method for Error Description of CMMs Using Polynomial Fitting Procedures , 1989 .

[24]  Toshiyuki Takatsuji,et al.  The first measurement of a three-dimensional coordinate by use of a laser tracking interferometer system based on trilateration , 1998 .