In extension to a former work, a detailed comparison of the absolute nodal coordinate formulation (ANCF) and the floating frame of reference formulation (FFRF) is performed for standard static and dynamic problems, both in the small and large deformation regimes. Special emphasis is laid on converged solutions and on a comparison to analytical and numerical solutions from the literature. In addition to the work of previous authors, the computational performance of both formulations is studied for the dynamic case, where detailed information is provided, concerning the different effects influencing the single parts of the computation time. In case of the ANCF finite element, a planar formulation based on the Bernoulli–Euler theory is utilized, consisting of two position and two slope coordinates in each node only. In the FFRF beam finite element, the displacements are described by the rigid body motion and a small superimposed transverse deflection. The latter is described by means of two static modes for the rotation at the boundary and a user-defined number of eigenmodes of the clamped-clamped beam. In numerical studies, the accuracy and computational costs of the two formulations are compared for a cantilever beam, a pendulum, and a slider-crank mechanism. It turns out that both formulations have comparable performance and that the choice of the optimal formulation depends on the problem configuration. Recent claims in literature that the ANCF would have deficiencies compared with the FFRF thus can be refuted.
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e-mail: markus.dibold@lcm.at
e-mail: johannes.gerstmayr@lcm.at
e-mail: hans.irschik@jku.at
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April 2009
Research Papers
A Detailed Comparison of the Absolute Nodal Coordinate and the Floating Frame of Reference Formulation in Deformable Multibody Systems
Markus Dibold,
e-mail: markus.dibold@lcm.at
Markus Dibold
Linz Center of Mechatronics GmbH
, Altenbergerstrasse 69, A-4040 Linz, Austria
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Johannes Gerstmayr,
e-mail: johannes.gerstmayr@lcm.at
Johannes Gerstmayr
Linz Center of Mechatronics GmbH
, Altenbergerstrasse 69, A-4040 Linz, Austria
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Hans Irschik
Hans Irschik
Institute of Technical Mechanics,
e-mail: hans.irschik@jku.at
Johannes Kepler University of Linz
, Altenbergerstrasse 69, A-4040 Linz, Austria
Search for other works by this author on:
Markus Dibold
Linz Center of Mechatronics GmbH
, Altenbergerstrasse 69, A-4040 Linz, Austriae-mail: markus.dibold@lcm.at
Johannes Gerstmayr
Linz Center of Mechatronics GmbH
, Altenbergerstrasse 69, A-4040 Linz, Austriae-mail: johannes.gerstmayr@lcm.at
Hans Irschik
Institute of Technical Mechanics,
Johannes Kepler University of Linz
, Altenbergerstrasse 69, A-4040 Linz, Austriae-mail: hans.irschik@jku.at
J. Comput. Nonlinear Dynam. Apr 2009, 4(2): 021006 (10 pages)
Published Online: March 9, 2009
Article history
Received:
November 27, 2007
Revised:
March 31, 2008
Published:
March 9, 2009
Citation
Dibold, M., Gerstmayr, J., and Irschik, H. (March 9, 2009). "A Detailed Comparison of the Absolute Nodal Coordinate and the Floating Frame of Reference Formulation in Deformable Multibody Systems." ASME. J. Comput. Nonlinear Dynam. April 2009; 4(2): 021006. https://doi.org/10.1115/1.3079825
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