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Comparison of Three-Dimensional Flexible Thin Plate Elements for Multibody Dynamic Analysis: Finite Element Formulation and Absolute Nodal Coordinate Formulation

[+] Author Affiliations
A. L. Schwab

Delft University of Technology, Delft, The Netherlands

J. Gerstmayr

Johannes Kepler University of Linz, Linz, Austria

J. P. Meijaard

University of Nottingham, Nottingham, UK

Paper No. DETC2007-34754, pp. 1059-1070; 12 pages
doi:10.1115/DETC2007-34754
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

Three formulations for a flexible 3-D thin plate element for dynamic analysis within a multibody dynamics environment are compared: a classical Discrete Kirchhoff Triangle (DKT) with large displacements and large rotations, a fully parametrized rectangular element according to the absolute nodal coordinate formulation (ANCF) and a rectangular element according to the ANCF with an elastic midplane approach. The comparison is made by means of a small deformation static test and extensive eigenfrequency analyses on a stylized problem. It is shown that the DKT element can describe arbitrary rigid body motions and that both the DKT element and the thin plate ANCF element show good convergence to analytic solutions by increasing number of elements, and suppress shear locking which is present in the fully parametrized ANCF element.

Copyright © 2007 by ASME

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