The present paper contributes to the field of flexible multibody systems dynamics. Two new solid finite elements employing the absolute nodal coordinate formulation are presented. In this formulation, the equations of motion contain a constant mass matrix and a vector of generalized gravity forces, but the vector of elastic forces is highly nonlinear. The proposed solid eight node brick element with 96 degrees of freedom uses translations of nodes and finite slopes as sets of nodal coordinates. The displacement field is interpolated using incomplete cubic polynomials providing the absence of shear locking effect. The use of finite slopes describes the deformed shape of the finite element more exactly and, therefore, minimizes the number of finite elements required for accurate simulations. Accuracy and convergence of the finite element is demonstrated in nonlinear test problems of statics and dynamics.
Three-Dimensional Solid Brick Element Using Slopes in the Absolute Nodal Coordinate Formulation
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received April 22, 2012; final manuscript received April 6, 2013; published online September 12, 2013. Assoc. Editor: Arend L. Schwab.
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Olshevskiy, A., Dmitrochenko, O., and Kim, C. (September 12, 2013). "Three-Dimensional Solid Brick Element Using Slopes in the Absolute Nodal Coordinate Formulation." ASME. J. Comput. Nonlinear Dynam. April 2014; 9(2): 021001. https://doi.org/10.1115/1.4024910
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