The time integration of a complex multibody system is a time consuming part of the entire evaluation process of a flexible component. A multibody simulation of a flexible crankshaft, for instance, interacting with pistons, con rods, fly wheel, hydrodynamic bearings and further takes several hours of central processing unit (CPU) time and may dominate the entire simulation chain. Small, local changes in the involved finite element (FE) models, for example, another notch radius, normally require a new time integration of the entire multibody system. In this publication, a remarkably simple method is presented, so that the multibody simulation of such a variant can be skipped entirely. Instead, a simple and cheap projection of the original results to the modified FE model is proposed. One simple and one elaborate example demonstrate the extraordinary resulting quality for minor design changes like notch radius variations.

References

1.
Shabana
,
A. A.
,
2013
,
Dynamics of Multibody Systems
,
Cambridge University Press
, Cambridge, UK.
2.
Witteveen
,
W.
,
2012
, “
On the Modal and Non-Modal Model Reduction of Metallic Structures With Variable Boundary Conditions
,”
World J. Mech.
,
2
(
6
), pp.
311
324
.
3.
Koutsovasilis
,
P.
, and
Beitelschmidt
,
M.
,
2008
, “
Comparison of Model Reduction Techniques for Large Mechanical Systems
,”
Multibody Syst. Dyn.
,
20
(
2
), pp.
111
128
.
4.
Craig
,
R. R.
, and
Bampton
,
M. C. C.
,
1968
, “
Coupling of Sub-Structures for Dynamic Analysis
,”
AIAA J.
,
6
(
7
), pp.
1313
1319
.
5.
Schwertassek
,
R.
,
Dombrowski
,
S. V.
, and
Wallrapp
,
O.
,
1999
, “
Modal Representation of Stress in Flexible Multibody Simulation
,”
Nonlinear Dyn.
,
20
(
4
), pp.
381
399
.
6.
Tobias
,
C.
, and
Berhard
,
P.
,
2011
, “
Stress Recovery With Krylov-Subspaces in Reduced Elastic Multibody Systems
,”
Multibody Syst. Dyn.
,
25
(
4
), pp.
377
393
.
7.
Fischer
,
P.
,
Witteveen
,
W.
, and
Schabasser
,
M.
,
2000
, “
Integrated MBS-FE-Durability Analysis of Truck Frame Components by Modal Stresses
,”
15th Euro-pean ADAMS Users' Conference
, Rome, Italy, Nov. 15–17.
8.
Callahan
,
J.
,
Avitabile
,
P.
, and
Riemer
,
R.
,
1989
, “
System Equivalent Reduction Expansion Process (SEREP)
,”
Seventh International Modal Analysis Conference,
Las Vegas, NV, pp.
29
37
.
9.
Friswell
,
M. I.
,
Mottershead
,
J. E.
,
1995
, Finite Element Model Updating in Structural Dynamics, Kluwer Academic Publishing, Dordrecht, The Netherlands, Chap. 4.1.
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