Free vibration analysis of continuous grading fiber reinforced plates on elastic foundation

International Journal of Engineering Science

Volumn 48, Issue 12, 2010, Pages 1881-1895

  Yas, M H ^a   Aragh, B Sobhani ^a  

^a RAZI UNIVERSITY   (Iran)

Author keywords

Continuous grading fiber reinforcement; DQM; Elastic foundation; Elasticity solution; Free vibrations; Plate

Indexed keywords

DQM; ELASTIC FOUNDATION; ELASTICITY SOLUTION; FIBER REINFORCEMENT; FREE VIBRATION; PLATE;

BIOLOGICAL ORGANS; BOUNDARY CONDITIONS; CEMENTS; DIFFERENTIATION (CALCULUS); ELASTICITY; FIBERS; FOUNDATIONS; GRADING; LAMINATED COMPOSITES; LAMINATING; ORDINARY DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); REINFORCEMENT; TITRATION; VOLUME FRACTION;

VIBRATION ANALYSIS;

EID: 78649630625     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.06.015     Document Type: Article

References (31)

1. N. Noda Thermal stresses in materials with temperature-dependent properties Appl. Mech. Rev. 44 1991 383 397
2. Y. Tanigawa Some basic thermoelastic problems for nonhomogeneous structural materials Appl. Mech. Rev. 48 1995 377 389
3. R. Javaheri, and M.R. Eslami Thermal buckling of functionally graded plates based on higher order theory J. Therm. Stress. 25 7 2002 603 625
4. W. Lanhe Thermal buckling of a simply supported moderately thick rectangular FGM plate Compos. Struct. 64 2 2004 211 218
5. G.N. Praveen, and J.N. Reddy Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates Int. J. Solid Struct. 35 33 1998 4457 4476
6. L.F. Qian, and R.C. Batra Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method Comput. Mech. 35 3 2005 214 226
7. L.F. Qian, and R.C. Batra Design of bidirectional functionally graded plate for optimal natural frequencies J. Sound Vib. 280 1-2 2005 415 424
8. Y. Xiang, S. Kitipornchai, and K.M. Liew Buckling and vibration of thick laminates on Pasternak foundations J. Eng. Mech., ASCE 122 1 1996 54 63
9. Y. Xiang, C.M. Wang, and S. Kitipornchai Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations Int. J. Mech. Sci. 36 1994 311 316
10. C.M. Wang, S. Kitipornchai, and Y. Xiang Relationships between buckling loads of Kirchhoff, Mindlin, and Reddy polygonal plates J. Eng. Mech., ASCE 123 11 1997 1134 1137
11. U.S. Gupta, R. Lal, and R. Sagar Effect of an elastic foundation on axisymmetric vibrations of polar orthotropic Mindlin circular plates Indian J. Pure Appl. Math. 25 1994 1317 1326
12. F. Ju, and H.P.K.H. Lee Free vibration of plates with stepped variations in thickness on non-homogeneous elastic foundations J. Sound Vib. 183 1995 533 545
13. U.S. Gupta, R. Lal, and S.K. Jain Effect of elastic foundation on axisymmetric vibrations of polar orthotropic circular plates of variable thickness J. Sound Vib. 139 1990 503 513
14. U.S. Gupta, and A.H. Ansari Effect of elastic foundation on axisymmetric vibrations of polar orthotropic linearly tapered circular plates J. Sound Vib. 254 3 2002 411 426
15. P.A.A. Laura, and R.H. Gutierrez Free vibrations of a solid circular plate of linearly varying thickness and attached to Winkler foundation J. Sound Vib. 144 1991 149 161
16. K.M. Liew, J.B. Han, Z.M. Xiao, and H. Du Differential quadrature method for Mindlin plates on Winkler foundations Int. J. Mech. Sci. 38 4 1996 405 421
17. D. Zhou, S.H. Lo, F.T.K. Au, and Y.K. Cheung Three-dimensional free vibration of thick circular plates on Pasternak foundation J. Sound Vib. 292 2006 726 741
18. J. Yang, and H.S. Shen Dynamic response of initially stressed functionally graded rectangular thin plates J. Compos. Struct. 54 2001 497 508
19. Z.Q. Cheng, and S. Kitipornchai Membrane analogy of buckling and vibration of inhomogeneous plates J. ASCE Eng. Mech. 125 1999 1293 1297
20. R.C. Batra, and J. Jin Natural frequencies of a functionally graded anisotropic rectangular plate J. Sound Vib. 282 2005 509 516
21. Z.Q. Cheng, and R.C. Batra Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates J. Sound Vib. 229 2000 879 895
22. P. Malekzadeh Three-dimensional free vibrations analysis of thick functionally graded plates on elastic foundations J. Compos. Struct. 2008
23. Shen Hui-Shen A comparison of buckling and post buckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators Compos. Struct. 91 2009 375 384
24. V. Valery, E. Vasiliev, and V. Morozov Mechanics and Analysis of Composite Materials first ed. 2001 Elsevier Science Ltd.
25. L. Pelletier Jacob, and S. Vel Senthil An exact solution for the steady state thermo-elastic response of functionally graded orthotropic cylindrical shells Int. J. Solid Struct. 43 2006 1131 1158
26. W.Q. Chen, and Z.G. Chen Elasticity solution for free vibration of laminated beam J. Compos. Struct. 62 2003 75 82
27. C. Shu, and B.E. Richards Application of generalized differential quadrature to solve two-dimensional incompressible Navier Stocks equations Int. J. Numer. Methods Fluid 15 1992 791 798
28. H. Matsunaga Free vibration and stability of functionally graded plates according to a 2D higher-order deformation theory J. Compos. Struct. 82 2008 499 512
29. D. Zhou, Y.K. Cheung, S.H. Lo, and F.T.K. Au Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation Int. J. Numer. Methods Eng. 59 2004 1313 1334
30. H. Matsunaga Vibration and stability of, thick plates on elastic foundations J. Eng. Mech., ASCE 126 2000 27 34
31. D.B. Miracle, Aeronautical Applications of Metal-Matrix Composites, Composite, vol. 21, ASM International, Material Park, OH, 2001, pp. 1043-1049.