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Comparison of Fully Parameterized and Gradient Deficient Elements in the Absolute Nodal Coordinate Formulation

[+] Author Affiliations
Johannes Gerstmayr

Leopold-Franzens Universität Innsbruck, Innsbruck, Austria

Peter Gruber

Linz Center of Mechatronics GmbH, Linz, Austria

Alexander Humer

Johannes Kepler University, Linz, Austria

Paper No. DETC2017-67734, pp. V006T10A025; 10 pages
doi:10.1115/DETC2017-67734
From:
  • ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Cleveland, Ohio, USA, August 6–9, 2017
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5820-2
  • Copyright © 2017 by ASME

abstract

The aim of the present paper is to evaluate six particular beam finite elements based on the absolute nodal coordinate formulation (ANCF). Specifically, accuracy, computational efficiency and numerical stability are compared for those beam finite elements. The finite elements under consideration are planar as well as spatial beams, which are formulated both for the Bernoulli-Euler case as well as for shear and cross-section deformation. While all of the investigated elements have been exposed to specific numerical tests already before, a comparative test has not been performed in the past. The numerical examples cover large deformation static and dynamic problems, which represent typical applications of such beam elements. Finally, the dynamic test problems show that the thin spatial beam formulation, which includes a rotational parameter, leads to well-known numerical instabilities.

Copyright © 2017 by ASME

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