Three-dimensional elastic analysis of a functionary graded circular plate

Zhendong yu Chongji/Journal of Vibration and Shock

Volumn 27, Issue 1, 2008, Pages

  Zhou, Feng Xi ^a   Li, Shi Rong ^a  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Differential quadrature method; Free vibration; Functionally graded material; Shooting method; State space approach; Static bending; Three dimensional analysis

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; ELASTICITY; FUNCTIONALLY GRADED MATERIALS; MECHANICAL PROPERTIES; STRESSES; THREE DIMENSIONAL; VIBRATIONS (MECHANICAL); VOLUME FRACTION;

AXISYMMETRIC CIRCULAR PLATE; DIFFERENTIAL QUADRATURE METHOD; FREE VIBRATION; SHOOTING METHOD; STATE SPACE APPROACH; STATIC BENDING; THREE DIMENSIONAL ANALYSIS;

PLATES (STRUCTURAL COMPONENTS);

EID: 40449135380     PISSN: 10003835     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. REDDY J N, CHIN K. Thermomechanical behavior of functionally graded cylinders and plates[J]. Thermo Stresses, 1998, 26(1): 593-626.
2. REDDY J N, WANG C M, KITIPOPRNCHAI S. Axisymmetric bending of functionally graded circular and annular plates[J]. European Journal of Mechanics A/Solids, 1999, 18(2): 185-199.
3. MA L S, WANG T J. Nonlinear bending and post-buckling of a functionally graded circular plale under mechanical and thermal loadings[J]. International Journal of Solids and Structures. 2003, 40(13-14): 3311-3330.
4. MA L S, WANG T J. Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory[J]. International Journal of Solids and Structures, 2004, 41(1): 85-101.
5. Reddy J N, Cheng Z Q. Three-dimensional thermomechanical deformations of functionally graded rectangular plates[J]. European Journal of Mechanics A/Solids, 2001, 20(5): 841-855.
6. Cheng Z Q, Batra R C. Three-dimensional thermoelastic deformations of a functionally graded elliptic plate[J]. Composites: Part B, 2000, 31(2): 97-106.
7. Vel S S, Batra R C. Three-dimensional exact solution for the vibration of functionally graded rectangular plates[J]. Journal of Sound and Vibration, 2004, 272(3-5): 703-730.
8. Shu C. Differential Quadrature and Its Application in Engineering[M]. London: Springer-Verlag, 2000.
9. Chen W Q. Lv C F, Bian Z G. Free vibration analysis of generally laminated beams via state-space-based differential quadrature[J]. Composite Structures, 2004, 63(3-4): 417-425.
10. Li Shirong, Zhou Youhe. Thermal post-buckling of a heated elastic rod with pinned-fixed ends[J]. Journal of Thermal Stresses. 2002, 25(1): 45-56.
11. Liew K M, Yang B. Three-dimensional elasticity solutions for free vibrations of circular plates: a polynomials-Ritz analysis[J]. Comput. Methods Appl. Mech. Engrg, 1999, 175(1-2): 189-201.