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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Bibliographic Details
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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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11050684