Within the framework of the “floating frame of reference” formulation for dynamic flexible multibody systems, the separation of local and global motion is important. We compare the new approach with reference conditions as algebraic constraints with the classical one leading to a system of ordinary differential equations. The approach using reference conditions is motivated either from the need of keeping the error introduced when linearizing the elastic forces as small as possible (Buckens frame) or from minimizing the relative kinetic energy contained in the elastic deformations (Tisserand frame). The reference conditions impose algebraic constraints on the body level leading to a differential-algebraic equation (DAE) to be solved. The equivalence and the differences of the two approaches are shown. The index of the DAE system with reference conditions is shown to be either 2 or 1.
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October 2007
Research Papers
Comparison of the Classical Formulation With the Reference Conditions Formulation for Dynamic Flexible Multibody Systems
J. R. Haslinger,
J. R. Haslinger
Math Consult
, Altenberger Strasse 69, A-4040 Linz, Austria
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G. Offner
G. Offner
AVL LIST GmbH
, Hans-List-Platz 1, A-8020 Graz, Austria
Search for other works by this author on:
J. R. Haslinger
Math Consult
, Altenberger Strasse 69, A-4040 Linz, Austria
G. Offner
AVL LIST GmbH
, Hans-List-Platz 1, A-8020 Graz, AustriaJ. Comput. Nonlinear Dynam. Oct 2007, 2(4): 337-343 (7 pages)
Published Online: March 20, 2007
Article history
Received:
September 29, 2006
Revised:
March 20, 2007
Citation
Drab, C. B., Haslinger, J. R., Pfau, R. U., and Offner, G. (March 20, 2007). "Comparison of the Classical Formulation With the Reference Conditions Formulation for Dynamic Flexible Multibody Systems." ASME. J. Comput. Nonlinear Dynam. October 2007; 2(4): 337–343. https://doi.org/10.1115/1.2756066
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