Accurate modeling of many engineering systems requires the integration of multibody system and large deformation finite element algorithms that are based on general constitutive models, account for the coupling between the large rotation and deformation, and allow capturing coupled deformation modes that cannot be captured using beam formulations implemented in existing computational algorithms and computer codes. In this investigation, a new nonlinear finite element dynamic model for the analysis of three-dimensional rubber chains and belt drives is developed using the finite element absolute nodal coordinate formulation (ANCF) that allows for a straight forward implementation of general linear and nonlinear material models for structural elements such as beams, plates and shells. Furthermore, this formulation, which is based on a more general kinematic description, can be used to predict the cross section deformation and its coupling with the extension and bending of the belt drives and rubber chains. The ANCF cross section deformation results are validated by comparison with the results obtained using solid finite elements in the case of a simple tension test problem. The effect of the use of different linear and nonlinear constitutive laws in modeling belt drives mechanism is also examined in this investigation. The finite element formulation presented in this paper is implemented in a general purpose three-dimensional flexible multibody algorithm that allows for developing detailed models of mechanical systems subject to general loading conditions, nonlinear algebraic constraint equations, and arbitrary large displacements that characterize belt drives and tracked vehicle dynamics. The successful integration of large deformation finite element and multibody system algorithms is shown to be necessary in order to be able to study the dynamics of complex tracked vehicles with rubber chains. A computer simulation of a three-dimensional multibody tracked vehicle model that consists of twenty rigid bodies and two flexible rubber chains is used in order to demonstrate the use of the formulations presented in this investigation.
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ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 30–September 2, 2009
San Diego, California, USA
Conference Sponsors:
- Design Engineering Division and Computers in Engineering Division
ISBN:
978-0-7918-4901-9
PROCEEDINGS PAPER
Use of General Nonlinear Material Models in Beam Problems: Application to Belt and Rubber Chains Available to Purchase
Luis G. Maqueda,
Luis G. Maqueda
University of Illinois at Chicago, Chicago, IL
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Abdel-Nasser A. Mohamed,
Abdel-Nasser A. Mohamed
University of Illinois at Chicago, Chicago, IL
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Ahmed A. Shabana
Ahmed A. Shabana
University of Illinois at Chicago, Chicago, IL
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Luis G. Maqueda
University of Illinois at Chicago, Chicago, IL
Abdel-Nasser A. Mohamed
University of Illinois at Chicago, Chicago, IL
Ahmed A. Shabana
University of Illinois at Chicago, Chicago, IL
Paper No:
DETC2009-86399, pp. 849-859; 11 pages
Published Online:
July 29, 2010
Citation
Maqueda, LG, Mohamed, AA, & Shabana, AA. "Use of General Nonlinear Material Models in Beam Problems: Application to Belt and Rubber Chains." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C. San Diego, California, USA. August 30–September 2, 2009. pp. 849-859. ASME. https://doi.org/10.1115/DETC2009-86399
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