Functional testing of prototypes is a critical step in the development of many of today’s products. Results of functional tests allow for verification of proper performance before a product is introduced into the market. The advent of rapid prototyping technologies offers engineers the potential to dramatically reduce the prototype-test-verify cycle and get products to market quickly. However, dimensional and material property limitations of rapid prototypes often prevent them from being used for functional testing without the use of similitude methods to correlate measured prototype behavior with predicted product behavior. The traditional similarity method (TSM), which is based on the Buckingham Π theorem, requires that the dimensionless parameters of the prototype and product systems be identical in order to correlate their states and accurately predict product performance. The requirement of identical dimensionless parameters which is inherent in the TSM is often impossible to realize with the limited properties available from rapid prototyping technologies. In order to overcome this limitation, an empirical similarity method (ESM) has been developed. The general concept of the ESM is introduced along with an implementation procedure. Numerical and experimental examples are presented which demonstrate the feasibility and industrial impact of the ESM in the context of product design.

1.
Pahl, G., and Beitz, W., 1984, Engineering Design: A Systematic Approach, The Design Council, Springer-Verlag, London.
2.
Ullman, D., 1992, The Mechanical Design Process, McGraw-Hill, New York.
3.
Otto, K., and Wood, K., 2000, Product Design, Prentice-Hall, New York.
4.
Holmes, M. F., 1984, “Machine Dynamics, The Need for Greater Productivity,” in Research Needs, K. N. Reid, ed., Mechanical Systems, ASME, NY, pp. 140–159.
5.
Ulrich, K. T., and Eppinger, S. D., 1995, Product Design and Development, McGraw-Hill, New York.
6.
Jacobs, P. F., 1992, Rapid Prototyping and Manufacturing: Fundamentals of StereoLithography, Society of Manufacturing Engineers, McGraw-Hill, New York.
7.
Aubin, R. F., 1994, “A World Wide Assessment of Rapid Prototyping Technologies,” Proceedings of Solid Freeform Fabrication Symposium, August, University of Texas, Austin, TX, pp. 118–145.
8.
Dornfield
,
W. H.
,
1995
, “
Direct Dynamic Testing of Scaled Stereolithographic Models
,”
Sound Vib.
,
, pp.
12
17
.
9.
O’Reilly, S. B., 1993, “FFF at Ford Motor Company,” Proceedings of the 1993 SFF Symposium, University of Texas, Austin, TX, pp. 168–177.
10.
Rodriquez
,
J. F.
,
Thomas
,
J. P.
, and
Renaud
,
J. E.
,
2003
, “
Design of Fused-Deposition ABS Components for Stiffness and Strength
,”
ASME J. Mech. Des.
,
125
, pp.
545
551
.
11.
Wall, M. B., Ulrich, K. T., and Flowers, W. C. 1991, “Making Sense of Prototyping Technologies for Product Design,” Proceeding of ASME 3rd International Conference on Design Theory and Methodology, Vol. DE-31, ASME, New York, pp. 157–164.
12.
Bridgman, P. W., 1937, Dimensional Analysis, Yale University Press, New Haven.
13.
Langhaar, H. L., 1951, Dimensional Analysis and Theory of Models, Wiley, New York.
14.
Sedov, L. I., 1959, Similarity and Dimensional Methods in Mechanics, Academic Press, New York.
15.
Szucs, E., 1980, Similitude and Modeling, Elsevier Scientific, New York.
16.
Baker, W. E., Westine, P. S., and Dodge, F. T., 1991, Similarity Methods and Engineering Dynamics: Theory and Practice of Scale Modeling, Elsevier, New York.
17.
Kline, S. J., 1965, Similitude and Approximate Theory, McGraw-Hill, New York.
18.
Bluman, G. W., and Kumei, S., 1989, Symmetries and Differential Equations, Springer-Verlag, New York.
19.
Barr
,
D.
,
1984
, “
Consolidation of Basics of Dimensional Analysis
,”
J. Eng. Mech.
,
10
(
9
), pp.
1357
1375
.
20.
Murphy, G., 1950, Similitude in Engineering, The Ronald Press Company, New York.
21.
Intel, 1998, “Thermal Management,” http://support.intel.com/support/processors/pentiumii/1793.htm
22.
Nadworny, E. B., 1995, “High Power CPU Cooling Experiment,” Proceedings of the Computers in Engineering Conference and the Engineering Database Symposium, ASME, Boston, MA, pp. 1057–1066.
23.
Fisher
,
T. S.
et al.
,
1997
, “
Analysis and Optimization of a Natural Draft Heat Sink System
,”
IEEE Trans. Compon., Packag. Manuf. Technol., Part A
,
20
(
2
), pp.
111
119
.
24.
Linton, R. L., and Agonafer, D., 1995, “Coarse and Detailed CFD Modeling of a Finned Heat Sink,” Proceedings of the 4th Intersociety Conference on Thermal and Thermo Mechanical Phenomena in Electronic Systems, Washington, DC.
25.
Beaman, J. J., Barlow, J. W., Bourell, D. L., Crawford, R. H., Marcus, H. L., and McAlea, K. P., 1997, Solid Freeform Fabrication: A New Direction in Manufacturing, Kluwer, Norwell.
26.
Conley
,
J. G.
, and
Marcus
,
H. L.
,
1997
, “
Rapid Prototyping and Solid Free Form Fabrication
,”
ASME J. Manuf. Sci. Eng.
,
119
, pp.
811
816
.
27.
Incropera, F. P., 1981, Fundamentals of Heat Transfer, Wiley, New York.
28.
Cho, U., and Wood, K. L. 1997, “Empirical Similitude Method for the Functional Test With Rapid Prototypes,” Proceedings of the 1997 Solid Freeform Fabrication Symposium, University of Texas, Austin, TX, pp. 559–567.
29.
Cho
,
U.
,
Wood
,
K. L.
, and
Crawford
,
R. H.
,
1998
(a), “
Online Functional Test With Rapid Prototypes: A Novel Empirical Similarity Method
,”
Rapid Prototyping Journal
,
4
(
3
), pp.
128
138
.
30.
Cho, U., Wood, K. L., and Crawford, R. H., 1998(b), “Novel Empirical Similarity Method for the Reliable Product Test With Rapid Prototypes,” Proceedings of the 1998 ASME DETC, number 98-DETC/DAC-5605, Atlanta, GA, ASME, New York.
31.
Cho, U., Wood, K. L., and Crawford, R. H., 1999, “Error Measures for Functional Product Testing,” Proceedings of the 1999 ASME DETC, number 99-DETC/DFM-8913, Las Vegas, NV, ASME, New York.
You do not currently have access to this content.