In the recent years, the physically based simulation has been developed and applied to various engineering processes. So far the use of this simulation method was limited to calculate the behavior of objects with large dimensions, as the calculation of small objects leads to severe inaccuracies. Thus, simulation results for small objects cannot be used in the engineering process. However, technical systems often consist of a variety of small functional components and workpieces. This paper proposes a new method to significantly improve the accuracy of physically based simulations of small objects by scaling. First, a set of scaling equations is introduced, which allow physically correct scaling of dynamic rigid body systems. Second, the equations are validated by simulating a cube with an edge length of only 20 μm. In this simulation scenario, the new method is compared to the conventional, nonscaling physically based simulation and the improvements of the simulation results are examined. With the scaling equations, technical systems of small components and workpieces can virtually be tested and optimized. This affects a significant reduction of hardware based time and cost consuming experiments.

References

References
1.
Reinhart
,
G.
, and
Lacour
,
F.-F.
,
2009
, “
Physically Based Virtual Commissioning of Material Flow Intensive Manufacturing Plants
,”
3rd International Conference on Changeable, Agile, Reconfigurable and Virtual Production (CARV 2009)
, Munich, Germany, Herbert Utz Verlag, Munich, pp.
377
386
.
2.
Reinhart
,
G.
, and
Hofmann
,
D.
,
2012
, “
Physically Based Simulation in Parts Feeding
,”
Werkstattstechnik Online
,
102
(
6
), pp.
435
439
.
3.
Berkowitz
,
D. R.
, and
Canny
,
J.
,
1996
, “
Designing Parts Feeders Using Dynamic Simulation
,”
Proceedings of the IEEE International Conference on Robotics and Automation (ICRA’96)
, Minneapolis, MN, IEEE, New York, pp.
1127
1132
.
4.
Berkowitz
,
D. R.
, and
Canny
,
J.
,
1997
, “
A Comparison of Real and Simulated Designs for Vibratory Parts Feeding
,”
Proceedings of the IEEE International Conference on Robotics and Automation (ICRA’97)
, Albuquerque, NM, IEEE, New York, pp.
2377
2382
.
5.
Zäh
,
M. F.
,
Spitzweg
,
M.
, and
Lacour
,
F.-F.
,
2008
, “
Application of a Physical Model for the Simulation of the Material Flow of a Manufacturing Plant
,”
Inf. Technol.
,
50
(
3
), pp.
192
198
.
6.
Reinhart
,
G.
, and
Lacour
,
F.-F.
,
2011
, “
Design Metaphors for Physically Based Virtual Commissioning
,”
44th CIRP International Conference on Manufacturing Systems (ICMS 2011)
, Madison, WI, p.
3
. Available at: http://conferencing.uwex.edu/conferences/cirp2011/documents/finalprogram.pdf
7.
Eberly
,
D. H.
, and
Shoemake
,
K.
,
2004
, “
Game Physics
,”
Morgan Kaufmann Series in Interactive 3D Technology
,
Elsevier, Morgan Kaufmann Publishers
,
San Francisco, CA
.
8.
Millington
,
I.
,
2007
,
Game Physics Engine Development
,
Morgan Kaufmann Publishers
,
San Francisco, CA
.
9.
Coumans
,
E.
,
2011
, “
Bullet 2.78 Physics SDK Manual
,” p.
7
.
10.
Erin
,
C.
,
2011
, “
Box2D v2.2.0 User Manual
,” last accessed Feb. 23, 2012. Available at: http://www.box2d.org/manual.html
11.
Ericson
,
C.
,
2005
, “
Real-Time Collision Detection
,”
Morgan Kaufmann Series in Interactive 3D Technology
,
Elsevier, Morgan Kaufmann Publishers
,
San Francisco, CA
.
12.
van den Bergen
,
G.
,
2004
, “
Collision Detection in Interactive 3D Environments
,”
Morgan Kaufmann Series in Interactive 3D Technology
,
Elsevier, Morgan Kaufmann Publishers
,
San Francisco, CA
.
13.
Baraff
,
D.
,
2001
, “
Physically Based Modeling: Rigid Body Simulation
,”
69
p., last accessed Feb. 23, 2012. Available at: http://www.pixar.com/companyinfo/research/pbm2001/pdf/notesg.pdf
14.
Stichlmair
,
J.
,
1990
,
Kennzahlen und Ähnlichkeitsgesetze im Ingenieurwesen
,
Altos-Verlag
,
Essen, Germany
.
15.
Hofmann
,
D.
,
Huang
,
H.
, and
Reinhart
,
G.
,
2013
, “
Automated Shape Optimization of Orienting Devices for Vibratory Bowl Feeders
,”
ASME J. Manuf. Sci. Eng.
,
135
(
5
),
8
p.10.1115/1.4025089
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