Conference proceeding
Comparison of Finite Element Solutions of Non-Rational B-Spline and ANCF Elements in the Analysis of Flexible Multibody Systems
Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B, Vol.4, pp.889-897
ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Washington, DC, USA, Aug. 28 - 31, 2011
01/01/2011
DOI: 10.1115/DETC2011-47349
Abstract
In this investigation, comparison of finite element solutions obtained using the B-spline approach and the absolute nodal coordinate formulation (ANCF) is performed. Furthermore, equivalence of the two formulations with different orders of polynomials and degrees of continuity is demonstrated by several numerical examples. The degree of continuity can be easily controlled in B-spline elements by changing knot multiplicities, while continuity conditions associated with higher order derivatives need to be imposed to achieve C2 and higher continuities in ANCF elements. In order to compare element performances of the third and quartic B-spline and ANCF elements, the three-node quartic ANCF beam element is developed. It is demonstrated in several numerical examples that use of B-spline and ANCF elements with same orders and continuities leads to identical results. Furthermore, effects of polynomial orders and continuities on the accuracy and numerical convergence are demonstrated.
Details
- Title: Subtitle
- Comparison of Finite Element Solutions of Non-Rational B-Spline and ANCF Elements in the Analysis of Flexible Multibody Systems
- Creators
- Hiroki Yamashita - Tokyo University of ScienceHiroyuki Sugiyama - Tokyo University of Science
- Resource Type
- Conference proceeding
- Publication Details
- Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B, Vol.4, pp.889-897
- Conference
- ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Washington, DC, USA, Aug. 28 - 31, 2011
- DOI
- 10.1115/DETC2011-47349
- Publisher
- ASMEDC
- Language
- English
- Date published
- 01/01/2011
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984196529702771
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