Free Vibration Analysis of Functionally Graded Shells Using an Edge-Based Smoothed Finite Element Method

An edge-based smoothed finite element method (ES-FEM) combined with the mixed interpolation of tensorial components technique for triangular shell element (MITC3), called ES-MITC3, for free vibration analysis of functionally graded shells is investigated in this work. In the formulation of the ES-MI...

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Published in:Symmetry (Basel) 2019-05, Vol.11 (5), p.684
Main Authors: Pham, Tien Dat, Pham, Quoc Hoa, Phan, Van Duc, Nguyen, Hoang Nam, Do, Van Thom
Format: Article
Language:English
Subjects:
Electric power distribution
Finite element analysis
Finite element method
Free vibration
Functionally gradient materials
Interpolation
Locking
Material properties
Methods
Numerical analysis
Power
Smoothing
Stiffness matrix
Vibration analysis
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description An edge-based smoothed finite element method (ES-FEM) combined with the mixed interpolation of tensorial components technique for triangular shell element (MITC3), called ES-MITC3, for free vibration analysis of functionally graded shells is investigated in this work. In the formulation of the ES-MITC3, the stiffness matrices are obtained by using the strain-smoothing technique over the smoothing domains that are formed by two adjacent MITC3 triangular shell elements sharing an edge. The strain-smoothing technique can improve significantly the accuracy and convergence of the original MITC3. The material properties of functionally graded shells are assumed to vary through the thickness direction by a power–rule distribution of volume fractions of the constituents. The numerical examples demonstrated that the present ES-MITC3method is free of shear locking and achieves the high accuracy compared to the reference solutions in the literature.
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subjects Electric power distribution
Finite element analysis
Finite element method
Free vibration
Functionally gradient materials
Interpolation
Locking
Material properties
Methods
Numerical analysis
Power
Smoothing
Stiffness matrix
Vibration analysis
title Free Vibration Analysis of Functionally Graded Shells Using an Edge-Based Smoothed Finite Element Method
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