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Nonlinear static and dynamic analysis of functionally graded plates

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Explicit solution for the nonlinear static and dynamic responses of the functionally graded materials rectangular plate is obtained. The volume fraction of the material constituents is assumed to follow a simple power law distribution. The formulation is based on the first-order shear deformation theory and von-Karman nonlinear kinematics. Solution methodology utilizes quadratic extrapolation technique for linearization, finite double Chebyshev series for spatial discretization of the variables and Houbolt time marching scheme for temporal discretization. Numerical results show the effect of volume fraction exponent of the constituent materials on the nonlinear static and dynamic responses of the plate with different boundary conditions and plate span to thickness ratio. Analysis results indicate that the effect of the volume fraction exponent n up to two on the displacement of the plate is more significant.
Rocznik
Strony
679--698
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
autor
autor
autor
  • Automative Division of Mechanical Engineering Department Southern Taiwan University of Technology Tainan, Taiwan 701, REPUBLIC OF CHINA
Bibliografia
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  • Fox L. and Parker I.B. (1968): Chebyshev polynomials in numerical analysis. - London: Oxford University Press.
  • Houbolt J.C. (1950): A recurrence matrix solution for the dynamic response of the elastic Aircraft. - J. Aero. Sci., vol.17, pp.540-550.
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  • Lin C.H. and Jen M.H.R. (2003): Analysis of laminated anisotropic cylindrical shell by Chebyshev collocation method. - J. Applied Mechanics, ASME, vol.70, pp.391-403.
  • Loy C.T., Lam K.Y. and Reddy J.N. (1999): Vibration of functionally graded cylindrical Shells. - Int. J. Mech. Sci., vol.41, No.3, pp.309-324.
  • Ma L.S. and Wang T.J. (2003): Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings. - Int. J. Solids Struct., vol.40, pp.3311-3330.
  • Nath Y. and Shukla K.K. (2001): Nonlinear transient analysis of moderately thick laminated composite plates. - J. Sound Vib., vol.247, No.3, pp.509-526.
  • Pradhan S.C., Loy C.T., Lam K.Y. and Reddy J.N. (2000): Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. - Appl. Acoust., vol.61, No.1, pp.111-129.
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  • Vel S.S. and Batra R.C. (2002): Exact solution for thermoelastic deformations of functionally graded thick rectangular plates. - AIAA J., vol.40, No.7, pp.1421-1433.
  • Vel S.S. and Batra R.C. (2003): Three-dimensional analysis of transient thermal stresses in functionally graded plates. - Int. J. Solids Struct., vol.40, pp.7181-7196.
  • Yang J. and Shen H.-S. (2003): Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundaryconditions. - Composites: Part B, vol.34, pp.103-115.
  • Zhong Z. and Shang E.T. (2003): Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate. - Int. J. Solids Struct., vol.40, pp.5335-5352.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0047
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