SEMI-ANALYTICAL SOLUTION FOR THREE-DIMENSIONAL VIBRATION OF FUNCTIONALLY GRADED CIRCULAR PLATES

By G. Nie, Zheng Zhong. 2007

154 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/be791778a783290234a4374ef5f1a276ddb76080

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

A NOVEL APPROACH FOR IN-PLANE/OUT-OF-PLANE FREQUENCY ANALYSIS OF FUNCTIONALLY GRADED CIRCULAR/ANNULAR PLATES (2010, methodology): “Nie and Zhong [26] considered the vibration of functionally graded circular plates and annular sectorial plates with simply supported radial edges and arbitrary circular edges [27], using a semi-analytical approach.”
Free vibrations of three parameter functionally graded parabolic panels of revolution (2009, background): “In the last years, some researchers have analyzed various characteristics of functionally graded structures (Abrate, 2006; Bayat et al., 2008; Nie and Zhong, 2007; Patel et al., 2005; Pelletier and Vel, 2006; Zenkour, 2006), among others.”
Natural frequencies of sandwich plates with FGM core via variable-kinematic 2-D Ritz models (2013, background): “In the same period, some works appeared in the literature on vibration of circular and annular functionally graded plates [9–11].”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, methodology): “A 3D analysis was carried out by Nie and Zhong [202] for the free and forced vibration analysis of FGM circular plates under various boundary conditions using a semi-analytical approach which makes use of state space method and 1D differential quadrature method.”
Thermal analysis of FGM plates – A critical review of various modeling techniques and solution methods (2017, methodology): “Nie and Zhong [180] studied free and forced vibrations of exponentially graded circular plates using semi-analytical solutions based on state space method.”
Three-dimensional free vibration analysis of functionally graded piezoelectric annular plates on elastic foundations (2011, methodology): “The results are presented together with those from Nie and Zhong [42] and again obviously there is good agreement between the results.”
Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution (2009, methodology): “In the last years, some researchers have analyzed various characteristics of functionally graded structures [16–30].”
FREE VIBRATIONS OF FOUR-PARAMETER FUNCTIONALLY GRADED PARABOLIC PANELS AND SHELLS OF REVOLUTION (2009, background): “…(Ng et al., 2000; Yang et al., 2003; Della Croce and Venini, 2004; Liew et al., 2004; Wu and Tsai, 2004; Elishakoff et al., 2005; Patel et al., 2005; Abrate, 2006; Pelletier and Vel, 2006; Zenkour, 2006; Arciniega and Reddy, 2007; Nie and Zhong, 2007; Roque et al., 2007; Yang and Shen, 2007).”
Semi‐analytical analysis for multi‐directional functionally graded plates: 3‐D elasticity solutions (2009, methodology): “The present hybrid method can also be extended to multi-directional FGM plates with general support by discretizing the two in-plane domains using the DQM similar to the manner for general supported laminated plates [51], and can also be applied to FGM circular and ring sectorial plates following th”
Three-dimensional free vibration of variable thickness thick circular and annular isotropic and functionally graded plates on Pasternak foundation (2011, background): “Nie and Zhong [33] investigated three-dimensional vibration of circular FG plates using semi-analytical method.”