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Large deflection analysis of moderately thick composite plates

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
Polish Conference on Computer Methods in Mechanics (16 ; 21-24.06.2005 ; Częstochowa, Poland
Języki publikacji
EN
Abstrakty
EN
Large deflection analysis of laminated composite plates is considered. The Galerkin method along with Newton-Raphson method is applied to large deflection analysis of laminated composite plates with various edge conditions. First order shear deformation theory and von Karman type nonlinearity are utilized and the governing differential eąuations are solved by choosing suitable polynomials as trial functions to ap-proximate the plate displacement functions. The solutions are compared to that of Chebyshev polynomials and finite elements. A very close agreement has been observed with these approximating methods. In the solution process, analytical computation has been done wherever it is possible, and analytical-numerical type approach has been madę for all problems.
Słowa kluczowe
Rocznik
Strony
683--690
Opis fizyczny
Bibliogr. 16 poz., rys., tab., wykr.
Twórcy
autor
  • Mechanical Engineering Department, Istanbul Technical University Giimussuyu, 34437 Istanbul, Turkey
Bibliografia
  • [1] ANSYS Reference Manual. ANSYS Inc., 1999.
  • [2] D.O. Brush and B.O. Almroth. Buckling of Bars, Plates and Shełls. McGraw-Hill, 1975.
  • [3] C.Y. Chia and M.K. Prabhakara. Large deflection of unsymmetric cross-ply and angle-ply plates. J. Mech. Engrg. Sci., 18(4): 179-183, 1976.
  • [4] S.T. Dennis. A Galerkin solution to geometrically nonlinear laminated shallow shell equations. Comput. Struct., 63(5): 859-874, 1997.
  • [5] K.M. Liew, J. Wang, M.J. Tan and S. Rajendran. Nonlinear analysis of laminated composite plates using the mesh-free kp-Ritz method based on FSDT. Comput. Meth. Appl. Mech. Engrg., 193: 4763-4779, 2004.
  • [6] R.-H. Liu, J.-C. Xu and S.-Z. Zhai. Large-deflection bending of symmetrically laminated rectilinearly orthotropic elliptical plates including transverse shear. Archive of Applied Mechanics, 67: 507-520, 1997.
  • [7] R.D. Mindlin. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. J. Appl. Mech., 18: 31-38, 1951.
  • [8] A. Pica, R.D. Wood and E. Hinton. Finite element analysis of geometrically nonlinear plate behavior using a Midlin formulation. Comput. Struct, 11: 203-215, 1980.
  • [9] J.N. Reddy and W.C. Chao. Large-deflection and large-amplitude free vibrations of laminated composite-material plates. Comput. Struct, 13: 341-347, 1981.
  • [10] J.N. Reddy. Mechanics of Laminated Composite Plates, CRC Press, New York, 1997.
  • [11] S. Savithiri and T.K. Varadan. Large deflection analysis of laminated composite plates. Int. J. Non-Linear Mech., 28(1): 1-12, 1993.
  • [12] K.K. Shukla and Y. Nath. Nonlinear analysis of moderately thick laminated rectangular plates. J. Engrg. Mech., 126(8): 831-838, 2000.
  • [13] H. Tanriover and E. Senocak. Large deflection analysis of unsymmetrically laminated composite plates: analytical-numerical type approach. Int. J. Non-Linear Mech., 39(8): 1385-1392, 2004.
  • [14] G.J. Turvey and M.Y. Osman. Elastic large deflection analysis of isotropic rectangular Mindlin plates. Int. J. Mech. Sci., 32(4): 315-328, 1990.
  • [15] J.M. Whitney. Structural analysis of laminated Anisotropic Plates. Technomic Publ. Co., 1987.
  • [16] S. Wolfram. Mathematica™: A System for Doing Mathematics by Computer. Addison-Wesley, Redwood City, CA, 1988.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0025-0069
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