High-precision non-contact dimensional inspection systems typically utilize high-precision motion stages to manipulate the sensor. Such motion stages are susceptible to position errors, which need to be characterized. While geometric and thermal errors can be characterized and compensated, compensation of dynamic errors is a challenging task. This paper presents a method for dynamic error characterization that is significantly different from dynamic error characterization on contact-based systems. A mathematical model to translate the vibrations on the sensor to the measurement errors on the part is presented. Through experiments on a four-axis system, a relationship between sensor motion speed, sampling frequency, and measurement accuracy is derived. The results of the experiments are used to describe the selection of optimal operating parameters for best accuracy and least uncertainty.

1.
Koren
,
Y.
,
Heisel
,
U.
,
Jovane
,
F.
,
Moriwaki
,
T.
,
Pritschow
,
G.
,
Ulsoy
,
G.
, and
Brussel
,
H. V.
, 1999, “
Reconfigurable Manufacturing Systems
,”
CIRP Ann.
0007-8506,
48
(
2
), pp.
527
540
.
2.
Blais
,
F.
, 2004, “
A Review of Twenty Years of Range Sensor Development
,”
J. Electron. Imaging
1017-9909,
13
(
1
), pp.
231
243
.
3.
Li
,
Y.
, and
Gu
,
P.
, 2004, “
Free-Form Surface Inspection Techniques—State of the Art Review
,”
Comput.-Aided Des.
0010-4485,
36
(
13
), pp.
1395
1417
.
4.
Ramesh
,
R.
,
Mannan
,
M. A.
, and
Poo
,
A. N.
, 2000, “
Error Compensation in Machine Tools—A Review. Part I: Geometric, Cutting-Force Induced and Fixture-Dependent Errors
,”
Int. J. Mach. Tools Manuf.
0890-6955,
40
(
9
), pp.
1235
1256
.
5.
Ramesh
,
R.
,
Mannan
,
M. A.
, and
Poo
,
A. N.
, 2000, “
Error Compensation in Machine Tools—A Review. Part II: Thermal Errors
,”
Int. J. Mach. Tools Manuf.
0890-6955,
40
(
9
), pp.
1257
1284
.
6.
Johnson
,
R. P.
,
Yang
,
Q.
, and
Butler
,
C.
, 1998, “
Dynamic Error Characteristics of Touch Trigger Probes Fitted to Coordinate Measuring Machines
,”
IEEE Trans. Instrum. Meas.
0018-9456,
47
(
5
), pp.
1168
1172
.
7.
Mu
,
Y. H.
, and
Ngoi
,
B. K. A.
, 1999, “
Dynamic Error Compensation of Coordinate Measuring Machines for High-Speed Measurement
,”
Int. J. Adv. Manuf. Technol.
,
15
(
11
), pp.
810
814
. 0268-3768
8.
Dong
,
C.
,
Zhang
,
C.
,
Wang
,
B.
, and
Zhang
,
G.
, 2002, “
Prediction and Compensation of Dynamic Errors for Coordinate Measuring Machines
,”
ASME J. Manuf. Sci. Eng.
1087-1357,
124
(
3
), pp.
509
514
.
9.
Dong
,
C.
,
Zhang
,
C.
,
Wang
,
B.
, and
Zhang
,
G.
, 2003, “
Reducing the Dynamic Errors of Coordinate Measuring Machines
,”
J. Mech. Des.
1050-0472,
125
(
4
), pp.
831
839
.
10.
Weekers
,
W. G.
, and
Schellekens
,
P. H. J.
, 1997, “
Compensation for Dynamic Errors of Coordinate Measuring Machines
,”
Measurement
0263-2241,
20
(
3
), pp.
197
209
.
11.
Shi
,
J.
, and
Ni
,
J.
, 1996, “
Supervisory Adaptive Control for the Structural Vibration of a Coordinate-Measuring Machine
,”
Int. J. Adv. Manuf. Technol.
,
11
(
4
), pp.
240
248
. 0268-3768
12.
Özel
,
T.
, 2006, “
Precision Tracking Control of a Horizontal Arm Coordinate Measuring Machine in the Presence of Dynamic Flexibilities
,”
Int. J. Adv. Manuf. Technol.
,
27
(
9-10
), pp.
960
968
. 0268-3768
13.
Jones
,
S. D.
, and
Ulsoy
,
A. G.
, 1999, “
An Approach to Control Input Shaping With Application to Coordinate Measuring Machines
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
121
(
2
), pp.
242
247
.
14.
Woźniak
,
A.
, 2004, “
An Investigation Into the Dynamic Performance of CMM Scanning Probes
,”
Elektronika
,
45
(
8-9
), pp.
256
258
.
15.
Duelen
,
G.
, and
Schroer
,
K.
, 1991, “
Robot Calibration—Method and Results
,”
Rob. Comput.-Integr. Manufact.
0736-5845,
8
(
4
), pp.
223
231
.
16.
Hudgens
,
J. C.
,
Hernandez
,
E.
, and
Tesar
,
D.
, 1991, “
A Compliance Parameter Estimation Method for Serial Manipulator
,”
ASME Dyn. Syst. Control Div.
,
29
, pp.
15
23
.
17.
Yang
,
Z.
, and
Sadler
,
J. P.
, 1992, “
Finite Element Analysis of Revolute Manipulators With Link and Joint Compliance by Joint Beam Elements
,”
ASME Design Engineering Division, Robotics, Spatial Mechanisms, and Mechanical Systems
,
45
, pp.
619
625
.
18.
Sadler
,
J. P.
,
Yang
,
Z.
, and
Askren
,
B. A.
, 1994, “
Finite Element Methods for the Design of Mechanisms and Robotic Manipulators
,”
Int. J. Comput. Appl. Technol.
0952-8091,
7
(
3/6
), pp.
305
315
.
19.
Yang
,
Z.
, and
Sadler
,
J. P.
, 1990, “
Finite Element Modeling of Spatial Robot Manipulators Flexible Mechanism, Dynamics, and Robot Trajectories
,”
ASME Design Engineering Division, Flexible Mechanism, Dynamics, and Robot Trajectories
,
24
, pp.
489
496
.
20.
Gong
,
C.
, and
Ni
,
J.
, 2000, “
Nongeometric Error Identification and Compensation for Robotic System by Inverse Calibration
,”
Int. J. Mach. Tools Manuf.
0890-6955,
40
(
14
), pp.
2119
2137
.
21.
Waibor
,
R. R.
,
Aarts
,
R. G. K. M.
, and
Jonker
,
J. B.
, 2005, “
Application of a Perturbation Method for Realistic Dynamic Simulation of Industrial Robots
,”
Multibody Syst. Dyn.
,
13
(
3
), pp.
323
338
. 1384-5640
22.
Vukobratovic
,
M.
, and
Filipovic
,
M.
, 2001, “
Dynamic Accuracy of Robotic Mechanisms. Part 1: Parametric Sensitivity Analysis
,”
Mech. Mach. Theory
0094-114X,
35
(
2
), pp.
221
237
.
23.
Zhao-Hui
,
J.
, and
Goldenberg
,
A. A.
, 1999, “
Dynamic Compensability and Compensability Measure for Robot Systems With Structural Flexibility
,”
Mech. Mach. Theory
0094-114X,
34
(
8
), pp.
1303
1317
.
24.
Tso
,
S. K.
,
Yang
,
T. W.
,
Xu
,
W. L.
, and
Sun
,
Z. Q.
, 2003, “
Vibration Control for a Flexible-Link Robot Arm With Deflection Feedback
,”
Int. J. Non-Linear Mech.
0020-7462,
38
(
1
), pp.
51
62
.
25.
Tokhi
,
M. O.
,
Mohamed
,
Z.
, and
Shaheed
,
M. H.
, 2001, “
Dynamic Characterization of a Flexible Manipulator System
,”
Robotica
,
19
, pp.
571
580
. 0263-5747
26.
Srivatsan
,
V.
,
Katz
,
R.
, and
Dutta
,
D.
, 2007, “
Fixtureless Sensor Standoff Control for High-Precision Dimensional Inspection of Freeform Parts
,”
ASME J. Manuf. Sci. Eng.
1087-1357,
129
(
1
), pp.
172
179
.
27.
Conoprobe OEM Manual, 2.1 ed., Optimet Manual P/N3J06001 Optimet, Optical Metrology Ltd., P.O. Box. 45021, Jerusalem 91450, Israel.
28.
Tomkow
,
J.
, 1997,
Machine Tool Stability
,
Wydawnictwa Naukowo-Techniczne
,
Warsaw
, in Polish.
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