PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Effects of elastically restrained edges on FG sandwich annular plates by using a novel solution procedure based on layerwise formulation

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In practical applications, sandwich plates are often connected to other members, supported by damaged clamped/simply supported boundary conditions or supported by elastic restraints. Therefore, the mentioned structures may not always be simulated by the classical boundary conditions, i.e., ideal simply supported, clamped and free edges. Also, these structures may be subjected to various loads. In this study, for the first time, a novel economical analytical solution procedure is presented for axisymmetric static analysis of sandwich annular plates, by using the layerwise and 3D elasticity theories. Based on the proposed approach, functionally graded sandwich annular plates with various elastically restrained edges under arbitrary distributed loads may be analyzed and all of the displacements and stresses components may be exactly achieved. Also, imposed loads at the boundaries may be evaluated. Transverse shear and normal stresses boundary conditions on the top and bottom of the sandwich plate and the interlaminar continuity conditions of the in-plane displacement, transverse shear and normal stresses are exactly satisfied. Accuracy and efficiency of the presented solution procedure are demonstrated by comparing the obtained results for sandwich plates with the classical edge conditions as some special cases of the elastic supports with results of the three-dimensional theory of elasticity.
Rocznik
Strony
678--694
Opis fizyczny
Bibliogr. 34 poz., rys., tab., wykr.
Twórcy
  • Department of Mechanical Engineering, University of Mazandaran, Babolsar 47416-13534, Iran
Bibliografia
  • [1] P.C. Dumir, M.L. Gandhi, YogendraNath, Nonlinear static and transient analysis of orthotropic thin circular plates with elastically restrained edge under central load, Journal of Composite Materials 17 (1983) 478–491.
  • [2] G.D. Galletly, Optimum design of thin circular plates on an elastic foundation, Proceedings of the Institution of Mechanical Engineers 173 (1) (1959) 678–696.
  • [3] L.W. Zhang, W.C. Cui, K.M. Liew, Vibration analysis of functionally graded carbon nanotube reinforced composite thick plates with elastically restrained edges, International Journal of Mechanical Sciences 103 (2015) 9–21.
  • [4] J.N. Reddy, A review of refined theories of laminated composite plates, Shock & Vibration Digest 22 (1991) 3–17.
  • [5] Mallikarjuna, T. Kant, A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches, Composite Structures 23 (1993) 293–312.
  • [6] E. Carrera, Theories and finite elements for multilayered, anisotropic, composite plates and shells, Archives of Computational Methods in Engineering 9 (2) (2002) 87–140.
  • [7] E. Carrera, S. Brischetto, A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates, Applied Mechanics Reviews 62 (1) (2008) 010803.
  • [8] S.D. Poisson, Memoire surl'equilibre et le mouvement des corpselastique, Memoires de l'Académie Royale des Sciences de l'Institut 8 (1829) 357–570.
  • [9] G. Kirchhoff, Uber das Gleichgewicht und die Bewegung einer elastischen Scheibe, Journal für die reine und angewandte Mathematik 40 (1850) 51–88.
  • [10] A.E.H. Love, The Mathematical Theory of Elasticity, 4th ed., Cambridge University Press, Cambridge, 1927.
  • [11] E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, ASME Journal of Applied Mechanics 12 (1945) 69–76.
  • [12] R.D. Mindlin, Influence of rotatory inertia and shear in flexural motions of isotropic elastic plates, ASME Journal of Applied Mechanics 18 (1951) 1031–1036.
  • [13] J.N. Reddy, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, 1997.
  • [14] J.N. Reddy, A simple higher order theories for laminated composites plates, Journal of Applied Mechanics 52 (1984) 742–745.
  • [15] K.K. Pradhan, S. Chakraverty, Static analysis of functionally graded thin rectangular plates with various boundary supports, Archives of Civil and Mechanical Engineering 15 (3) (2015) 721–734.
  • [16] A.M. Zenkour, Effects of hygrothermal conditions on cross-ply laminated plates resting on elastic foundations, Archives of Civil and Mechanical Engineering 14 (2014) 144–159.
  • [17] A. Sabik, I. Kreja, Linear analysis of laminated multilayered plates with the application of zig-zag function, Archives of Civil and Mechanical Engineering 8 (2008) 61–72.
  • [18] K.H. Lee, N.R. Senthilnathan, S.P. Lim, S.T. Chow, An improved zig-zag model for the bending of laminated composite plates, Composite Structures 15 (2) (1990) 137–148.
  • [19] M. Ćetković, D.J. Vuksanović, Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model, Composite Structures 88 (2) (2009) 219–227.
  • [20] K.H. Lee, L. Cao, A predictor-corrector zig-zag model for the bending of laminated composite plates, International Journal of Solids and Structures 33 (6) (1996) 879–897.
  • [21] S.M.R. Khalili, M. Shariyat, I. Rajabi, A finite element based global-local theory for static analysis of rectangular sandwich and laminated composite plates, Composite Structures 107 (2014) 177–189.
  • [22] M.M. Alipour, M. Shariyat, Analytical stress analysis of annular FGM sandwich plates with non-uniform shear and normal tractions, employing a zigzag-elasticity plate theory, Aerospace Science and Technology 32 (2014) 235–259.
  • [23] M.M. Alipour, M. Shariyat, Analytical zigzag formulation with 3D elasticity corrections for bending and stress analysis of circular/annular composite sandwich plates with auxetic cores, Composite Structures 132 (2015) 175–197.
  • [24] M.K. Pandit, A.H. Sheikh, B.N. Singh, An improved higher order zigzag theory for the static analysis of laminated sandwich plate with soft core, Finite Elements in Analysis and Design 44 (2008) 602–610.
  • [25] R. Sahoo, B.N. Singh, A new shear deformation theory for the static analysis of laminated composite and sandwich plates, International Journal of Mechanical Sciences 75 (2013) 324–336.
  • [26] B. Liu, A.J.M. Ferreira, Y.F. Xing, A.M.A. Neves, Analysis of composite plates using a layerwise theory and a differential quadrature finite element method, Composite Structures (2015), http://dx.doi.org/10.1016/j.compstruct.2015.07.101.
  • [27] E.S. Ventsel, A boundary element method applied to sandwich plates of arbitrary plan form, Engineering Analysis with Boundary Elements 27 (2003) 597–601.
  • [28] N. Grover, B.N. Singh, D.K. Maiti, Analytical and finite element modeling of laminated composite and sandwich plates: an assessment of a new shear deformation theory for free vibration response, International Journal of Mechanical Sciences 67 (2013) 89–99.
  • [29] E. Altunsaray, I. Bayer, Deflection and free vibration of symmetrically laminated quasi-isotropic thin rectangular plates for different boundary conditions, Ocean Engineering 57 (2013) 197–222.
  • [30] S. Xiang, K. Wang, Y. Ai, Y. Sha, H. Shi, Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories, Composite Structures 91 (2009) 31–37.
  • [31] M.M. Alipour, M. Shariyat, An elasticity-equilibrium-based zigzag theory for axisymmetric bending and stress analysis of the functionally graded circular sandwich plates, using a Maclaurin-type series solution, European Journal of Mechanics A: Solids 34 (2012) 78–101.
  • [32] M.M. Alipour, M. Shariyat, An analytical global-local Taylor transformation-based vibration solution for annular FGM sandwich plates supported by nonuniform elastic foundations, Archives of Civil and Mechanical Engineering 14 (2014) 6–24.
  • [33] M.M. Alipour, M. Shariyat, Analytical zigzag-elasticity transient and forced dynamic stress and displacement response prediction of the annular FGM sandwich plates, Composite Structures 106 (2013) 426–445.
  • [34] M.M. Alipour, An analytical approach for bending and stress analysis of cross/angle-ply laminated composite plates under arbitrary non-uniform loads and elastic foundations, Archives of Civil and Mechanical Engineering 16 (2) (2016) 193–210.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ce09bba6-24ad-4023-924b-6c7eaaf3afdb
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.