TY - GEN
T1 - Extracting single source geometric error value from a double ballbar measurement error map
AU - Saragih, Agung Shamsuddin
AU - Ko, Tae Jo
PY - 2013
Y1 - 2013
N2 - The double ballbar (DBB) test is a well-known way to check the geometric error of axis interaction. The DBB test captures actual data from multiple error origins. Here, we define the DBB measurement result as the sinusoid error map model plus noise. Using this concept, we extract a single source geometric error value from the DBB error map by LS fitting. We considered the "noise" as mix error from other sources. To ensure the quality of a numerical fitting, we used a sinusoid model of each geometric error that was generated by simulation of axis movement based on homogeneous transformation matrices (HTMs) as general best-fit curve. To verify the proposed method, we extract a well-known geometric error of linear axes and compare it with the result from a commercial measurement system. This method is applicable to both a full circle and a truncated DBB test path. Then, we use the method to estimate the geometric error of axis interaction between linear and rotary axes in a five-axis machine. A sequence of DBB tests is arranged based on linear-linear and linear-rotary simultaneous motions. The tests contain seven DBB test runs with two setups, and are able to identify eleven geometry errors of interaction of axes in less time, and with less human "intervention" error.
AB - The double ballbar (DBB) test is a well-known way to check the geometric error of axis interaction. The DBB test captures actual data from multiple error origins. Here, we define the DBB measurement result as the sinusoid error map model plus noise. Using this concept, we extract a single source geometric error value from the DBB error map by LS fitting. We considered the "noise" as mix error from other sources. To ensure the quality of a numerical fitting, we used a sinusoid model of each geometric error that was generated by simulation of axis movement based on homogeneous transformation matrices (HTMs) as general best-fit curve. To verify the proposed method, we extract a well-known geometric error of linear axes and compare it with the result from a commercial measurement system. This method is applicable to both a full circle and a truncated DBB test path. Then, we use the method to estimate the geometric error of axis interaction between linear and rotary axes in a five-axis machine. A sequence of DBB tests is arranged based on linear-linear and linear-rotary simultaneous motions. The tests contain seven DBB test runs with two setups, and are able to identify eleven geometry errors of interaction of axes in less time, and with less human "intervention" error.
KW - Double ballbar
KW - Geometric error
KW - Homogenous transformation matrix
KW - Sum of sinusoids
UR - http://www.scopus.com/inward/record.url?scp=84873935797&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMM.284-287.754
DO - 10.4028/www.scientific.net/AMM.284-287.754
M3 - Conference contribution
AN - SCOPUS:84873935797
SN - 9783037856123
T3 - Applied Mechanics and Materials
SP - 754
EP - 757
BT - Innovation for Applied Science and Technology
T2 - 2nd International Conference on Engineering and Technology Innovation 2012, ICETI 2012
Y2 - 2 November 2012 through 6 November 2012
ER -