Exact vibration analysis of variable thickness thick annular isotropic and FGM plates

By E. Efraim, Moshe Eisenberger. 2007

364 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9ac0beccdd05c1209b8643a7377d065c53788658

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Stress and strain recovery for functionally graded free-form and doubly-curved sandwich shells using higher-order equivalent single layer theory (2015, background): “[8] Efraim E, Eisenberger M. Exact vibration analysis of variable thickness thick annular isotropic and FGM plates.”
A Numerical Investigation on the Natural Frequencies of FGM Sandwich Shells with Variable Thickness by the Local Generalized Differential Quadrature Method (2017, methodology): “Definition of the shell structures and graphical representation of their cross-sections with variable thickness: (a) annular plate [90]; (b) elliptic cylinder; (c) doubly-curved shell of revolution with hyperbolic meridian; (d) doubly-curved panel of translation (a parabola slides over another parab”
Free vibration analysis of multi-directional functionally graded circular and annular plates (2012, background): “Efraim and Eisenberger [2] studied the exact vibration analysis of variable thickness thick annular isotropic and FGM plates.”
Thermal buckling of functionally graded plates using a local Kriging meshless method (2014, methodology): “K represents the transverse shear correction factor for FGPs which is given by [48]:”
Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method (2013, background): “For isotropic materials, the transverse shear correction coefficient K is taken to be 5/6, and is suggested to be K = 5/(6 (v1V1 + v2V2)) for functionally graded materials by Efraim and Eisenberger [34].”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, neutral): “Efraim and Eisenberger [214] pre-”
A NOVEL APPROACH FOR IN-PLANE/OUT-OF-PLANE FREQUENCY ANALYSIS OF FUNCTIONALLY GRADED CIRCULAR/ANNULAR PLATES (2010, methodology): “Free vibration of annular FG plates with variable thickness and different combinations of boundary conditions is investigated by Efraim and Eisenberger [12] based on the firstorder shear deformation theory and exact element method to derive the stiffness matrix.”
A critical review of recent research on functionally graded plates (2013, methodology): “The 3D vibration analyses of thick annular isotropic and FG plates were performed by Efraim and Eisenberger [155].”
Buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates on elastic foundations (2011, methodology): “Otherwise specified, the transverse shear correction factor is taken to be κ = 5/(6 − ν), which is chosen from the work of Efraim and Eisenberger [25], and also the following material properties are used for the FG plates, Metal (aluminum): Em = 70 × 109 (N/m2), νm = 0.3, Ceramic (alumina): Ec = 380”
Three-dimensional free vibration of variable thickness thick circular and annular isotropic and functionally graded plates on Pasternak foundation (2011, background): “Efraim and Eisenberger [32] studied the vibration of variable thickness annular isotropic plates and completely free FG plates.”