Conference proceeding
Performance of Curved Beam Elements Using the Absolute Nodal Coordinate Formulation
Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, Vol.4(C), pp.839-847
ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, San Diego, California, USA, Aug. 30 - Sept. 02, 2009
01/01/2009
DOI: 10.1115/DETC2009-86312
Abstract
In this investigation, a gradient deficient beam element of the absolute nodal coordinate formulation is generalized to a curved beam for the analysis of multibody systems and the performance of the proposed element is discussed by comparing with the fully parameterized curved beam element and the classical large displacement beam element with incremental solution procedures. Strain components are defined with respect to the initially curved configuration and described by the arc-length coordinate. The Green strain is used for the longitudinal stretch, while the material measure of curvature is used for bending. It is shown that strains of the curved beam can be expressed with respect to those defined in the element coordinate system using the gradient transformation and the effect of strains at the initially curved configuration is eliminated using one-dimensional Almansi strain. This property can be effectively used with non-incremental solution procedure employed for the absolute nodal coordinate formulation. Several numerical examples are presented in order to demonstrate the performance of the gradient deficient curved beam element developed in this investigation. It is shown that the use of the proposed element leads to better element convergence as compared to that of the fully parameterized element and the classical large displacement beam element with incremental solution procedures.
Details
- Title: Subtitle
- Performance of Curved Beam Elements Using the Absolute Nodal Coordinate Formulation
- Creators
- Hiroyuki Sugiyama - Tokyo University of ScienceHirohisa Koyama - Tokyo University of ScienceHiroki Yamashita - Tokyo University of Science
- Resource Type
- Conference proceeding
- Publication Details
- Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, Vol.4(C), pp.839-847
- Conference
- ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, San Diego, California, USA, Aug. 30 - Sept. 02, 2009
- DOI
- 10.1115/DETC2009-86312
- Publisher
- ASMEDC
- Language
- English
- Date published
- 01/01/2009
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984196635602771
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