The objective of this investigation is to develop a total Lagrangian nonincremental liquid sloshing solution procedure based on the finite element (FE) absolute nodal coordinate formulation (ANCF). The proposed liquid sloshing modeling approach can be used to avoid the difficulties of integrating most of fluid dynamics formulations, which are based on the Eulerian approach, with multibody system (MBS) dynamics formulations, which are based on a total Lagrangian approach. The proposed total Lagrangian FE fluid dynamics formulation, which can be systematically integrated with computational MBS algorithms, differs significantly from the conventional FE or finite volume methods which are based on an Eulerian representation that employs the velocity field of a fixed control volume in the region of interest. The ANCF fluid equations are expressed in terms of displacement and gradient coordinates of material points, allowing for straightforward implementation of kinematic constraint equations and for the systematic modeling of the interaction of the fluid with the external environment or with rigid and flexible bodies. The fluid incompressibility conditions and surface traction forces are considered and derived directly from the Navier–Stokes equations. Two ANCF brick elements, one is obtained using an incomplete polynomial representation and the other is obtained from a B-spline volume representation, are used. The new approach ensures the continuity of the displacement gradients at the nodal points and allows for imposing higher degree of continuity across the element interface by applying algebraic constraint equations that can be used to eliminate dependent variables and reduce the model dimensionality. Regardless of the magnitude of the fluid displacement, the fluid has a constant mass matrix, leading to zero Coriolis and centrifugal forces. The analysis presented in this paper demonstrates the feasibility of developing an efficient nonincremental total Lagrangian approach for modeling sloshing problems in MBS system applications in which the bodies can experience large displacements including finite rotations. Several examples are presented in order to shed light on the potential of using the ANCF liquid sloshing formulation developed in this study.
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September 2015
Research-Article
A Total Lagrangian ANCF Liquid Sloshing Approach for Multibody System Applications
Cheng Wei,
Cheng Wei
Department of Aerospace Engineering,
e-mail: weicheng@hit.edu.cn
Harbin Institute of Technology
,92 W. Dazhi Street
,359 Mail Box, Heilongjiang
,Harbin 150001
, China
e-mail: weicheng@hit.edu.cn
Search for other works by this author on:
Liang Wang,
Liang Wang
Department of Mechanical and
Industrial Engineering,
Industrial Engineering,
University of Illinois at Chicago
,842 W. Taylor Street
,Chicago, IL 60607
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Ahmed A. Shabana
Ahmed A. Shabana
Department of Mechanical and
Industrial Engineering,
e-mail: shabana@uic.edu
Industrial Engineering,
University of Illinois at Chicago
,842 W. Taylor Street
,Chicago, IL 60607
e-mail: shabana@uic.edu
Search for other works by this author on:
Cheng Wei
Department of Aerospace Engineering,
e-mail: weicheng@hit.edu.cn
Harbin Institute of Technology
,92 W. Dazhi Street
,359 Mail Box, Heilongjiang
,Harbin 150001
, China
e-mail: weicheng@hit.edu.cn
Liang Wang
Department of Mechanical and
Industrial Engineering,
Industrial Engineering,
University of Illinois at Chicago
,842 W. Taylor Street
,Chicago, IL 60607
Ahmed A. Shabana
Department of Mechanical and
Industrial Engineering,
e-mail: shabana@uic.edu
Industrial Engineering,
University of Illinois at Chicago
,842 W. Taylor Street
,Chicago, IL 60607
e-mail: shabana@uic.edu
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 19, 2014; final manuscript received September 27, 2014; published online April 16, 2015. Assoc. Editor: Ahmet S. Yigit.
J. Comput. Nonlinear Dynam. Sep 2015, 10(5): 051014 (10 pages)
Published Online: September 1, 2015
Article history
Received:
July 19, 2014
Revision Received:
September 27, 2014
Online:
April 16, 2015
Citation
Wei, C., Wang, L., and Shabana, A. A. (September 1, 2015). "A Total Lagrangian ANCF Liquid Sloshing Approach for Multibody System Applications." ASME. J. Comput. Nonlinear Dynam. September 2015; 10(5): 051014. https://doi.org/10.1115/1.4028720
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