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Contact Problems in Machine Dynamics
Project Description
The simulation of a mechanical system with impacts and contacts
requires a suitable mechanical modeling.
The interaction of colliding
machine elements is usually modeled with unilateral constraints.
For the transition from the free motion of a multibody system
to the motion with
unilateral constraints different models may be used
resulting in different time
scales, accuracies and efficiencies.
During contact local deformations of the colliding
bodies and the contact forces are computed. After collisions
the initial state of the continuing motion are determined.
For this purpose, the boundary element method is coupled
with the multibody system method.
The project is
a collaborative work
between the mathematicians at
the Institute of Mathematics
and the engineers at the Institute of Engineering and Computational Mechanics on
contact problems in machine dynamics.
The main goal of the research is the development of
a simulation method for multibody systems with impacts and contacts
where the global motion of the system
is described using the multibody system method
and where the local contact forces during impacts and contacts
are computed using the
boundary element method.
Important topics include the simulation of multibody systems with
impacts and contacts,
the collision detection for contact problems, the
boundary element method for impacts and contacts
and experiemental vilidation.
Publications
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Hu, Bin;
Eberhard, Peter;
Schiehlen, Werner:
Symbolical
Wave Propagation Analysis of a Falling Conical Rod Impacting a Rigid Ground.
Journal of Sound and Vibration, Vol. 240, No. 1, 2001, pp.41-57.
-
Eberhard, Peter;
Hu, Bin;
Bestler, Dieter:
Longitudinal Wave Propagation in Multiple Impacted Rods.
ZAMM, Vol. 81 No. 12, pp. 795-801.
-
Hu, Bin;
Eberhard, Peter;
Symbolic Computation of Longitudinal Impact Waves.
Computer Methods in Applied Mechanics
and Engineering, Vol. 190, Nos. 37-38, pp. 4805-4815.
-
Eberhard, Peter;
Hu, Bin;
Schiehlen, Werner:
Experiments on Longitudinal Impact Waves in an Elastic Rod.
Honorary Volume Prof. Kounadis, 2000.
-
Eberhard, Peter:
Kontaktuntersuchungen durch hybride
Mehrkörpersystem/ Finite Elemente Simulationen.
Aachen: Shaker Verlag,
2000.
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Eberhard, Peter;
Hu, Bin;
Schiehlen, Werner:
Longitudinal
Wave Propagation in Conical Rods Subject to Impacts. In: `Multifield Problems
- State of the Art' by Sändig A.-M., Schiehlen, W. and Wendland, W. (Eds.),
Berlin: Springer,
2000, pp. 246-253.
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Eberhard, Peter;
Hu, Bin;
Li, Zhou:
Wavelet Analysis of Longitudinal Impact Responses.
Proceedings 7. Int. Congress on Sound and Vibration, 4.-7. July 2000,
Garmisch-Partenkirchen, by Guidati, G., Hunt, H., Heller, H., Heiss, A. (Eds.),
München: Kramer Techn. Publ., 2000, pp. 3511-3518.
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Eberhard, Peter:
Übergänge in der hybriden Mehrkörpersystem/FE Kontaktsimulation.
Proceedings GAMM2000, 3.-7. April 2000,
Göttingen
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Eberhard, Peter; Jiang, Shuoshan:
Collision Detection Using Interpolation Schemes.
Mathematical and Computer Modelling of
Dynamical Systems, Vol. 6, No. 3, 2000, pp. 309-322.
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Escalona, J.L.; Mayo, J.M.; Hu, Bin;
Eberhard, Peter:
Dynamics of Axial
Impacts on Rods. Proceedings 10th World Congress on the Theory of Machines
and Mechanisms
IFToMM,
20.-24. 6. 99, Oulu, Finland, Vol. 1 by Leinonen,
T. (Ed.). Oulu: Oulu University Press, 1999, pp. 116-121.
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Hu, Bin;
Eberhard, Peter;
Schiehlen, Werner:
Solving Wave Propagation Problems
Symbolically Using Computer Algebra. In: Dynamics of Vibro-Impact
Systems:
Proceedings EUROMECH 386 by Babitsky, V.I. (Ed.)
Berlin: Springer,
1999, pp. 231-240.
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Eberhard, P.; Itigin, A.: Tangential Contact Stiffness Matrices for Quadratically
Interpolating Elements in a Hybrid FEM/Multibody Simulation. In: Proc. of the
European Conference on Computational Mechanics ECCM’99 (München, 31.
August – 3. September 1999). W. Wunderlich (ed.). München: Lehrstuhl für
Statik, TU München 1999. CD-ROM.
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Kübler, Ralf; Schiehlen, Werner: Modular Modelling and Simulation of Multibody Sy-
stems. In: Proc. 1999 ASME Design Eng.Technical Conferences, Las Vegas,
NV, USA, 12 - 15 September 1999). New York: ASME 1999, DETC 99 VIB-
8227, pp. 1-9. CD-ROM.
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Eberhard, Peter :
Collision Detection and Contact Approaches for a Hybrid Multibody
System / Finite Element Simulation. In:
`IUTAM Symposium on Unilateral Multibody Contacts' by Pfeiffer, F.
and Glocker, C. (Eds.). Series: Solid Mechanics and its
Applications, Vol. 72. Dordrecht: Kluwer Acad. Publishers, 1999, pp. 193-203.
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Eberhard, Peter; Jiang, Shuoshan: Collision Detection for Contact Problems in Mechanics
with a Boundary Search Algorithm. Mathematical Modelling of Systems.
Mathematical Modelling of Systems, 3,4, 1997, pp. 265-281.
Related Pages
Contact
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