Steel and Composite Structures

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Bending performance of laminated sandwich shells in hyperbolic paraboloidal form

  • Received : 2017.03.29
  • Accepted : 2017.07.12
  • Published : 2017.10.30
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Abstract

Sandwich shells made of composite materials are the main focus on recent literature parallel to the requirements of industry. They are commonly chosen for the modern engineering applications which require moderate strength to weight ratio without dependence on conventional manufacturing techniques. The investigations on hyperbolic paraboloidal formed sandwich composite shells are limited in the literature contrary to shells that have a number of studies, consisting of doubly curved surfaces, arbitrary boundaries and laminations. Because of the lack of contributive data in the literature, the aim of this study is to present the effects of curvature on hyperbolic paraboloidal formed, layered sandwich composite surfaces that have arbitrary boundary conditions. Analytical solution methodology for the analyses of stresses and deformations is based on Third Order Shear Deformation Theory (TSDT). Double Fourier series, which are specialized for boundary discontinuity, are used to solve highly coupled linear partial differential equations. Numerical solutions showing the effects of shell geometry are presented to provide benchmark results.

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References

  1. Alankaya, V. and Oktem, A.S. (2016), "Static analysis of laminated and sandwich composite doubly-curved shallow shells", Steel Compos. Struct., 20(5), 1043-1066. https://doi.org/10.12989/scs.2016.20.5.1043
  2. Chaudhuri, R.A. (2002), "On the roles of complementary and admissible boundary constraints in fourier solutions to boundary-value problems of completely coupled rth order p.d.e.'s", J. Sound Vib., 251(2), 261-313. https://doi.org/10.1006/jsvi.2001.3913
  3. Chaudhuri, R.A., Oktem, A.S. and Soares, C.G. (2015a), "Levy type boundary fourier analysis of thick cross ply panels with negative gaussian curvature", AIAA J., 53(9), 2492-2503. https://doi.org/10.2514/1.J053440
  4. Chaudhuri, R.A., Oktem, A.S. and Soares, C.G. (2015b), "Levy type boundary fourier analysis of thick clamped hyperbolic paraboloidal cross ply panels", AIAA J., 53(1), 140-149. https://doi.org/10.2514/1.J052986
  5. Chen, C.S. (2007), "The nonlinear vibration of an initially stressed laminated plate", Composites:PartB, 38(4), 437-447. https://doi.org/10.1016/j.compositesb.2006.09.002
  6. Ferreira, A.J.M., Roque, C.M.C. and Martins, P.A.L.S. (2003), "Analysis of composite plates using higher-order shear deformation theory and finite point formulation based on multiquadric radial basis function method", Composites:Part B, 34(7), 627-636. https://doi.org/10.1016/S1359-8368(03)00083-0
  7. Fraternali, F., Farina, I. and Carpentieri, G. (2014), "A discrete to continuum approach to the curves of membrane networks and parametric surfaces", Mech. Res. Commun., 56, 18-25. https://doi.org/10.1016/j.mechrescom.2013.10.015
  8. Ishakov, V.I. (1999), "Stability analysis of viscoelastic thin shallow hyperbolic paraboloid shells", Int. J. Solids Struct., 36(28), 4209-4223. https://doi.org/10.1016/S0020-7683(98)00197-8
  9. Khalili, S.M.R., Davar, A. and Fard, K.M. (2012), "Free vibration analysis of homogeneous isotropic circular cylindrical shells based on a new three-dimensional refined higher order theory", Int. J. Mech. Sci., 56(1), 1-25. https://doi.org/10.1016/j.ijmecsci.2011.11.002
  10. Lachenal, X., Weaver, P.M. and Daynes, S. (2014), "Influence of transverse curvature on the stability of pre-stressed helical structures", Int. J. Solids Struct., 51(13), 2479-2490. https://doi.org/10.1016/j.ijsolstr.2014.03.014
  11. Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012a), "A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates", Int. J. Solids Struct., 49(1), 43-53. https://doi.org/10.1016/j.ijsolstr.2011.09.008
  12. Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012b), "Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory", Composites: Part B, 43(8), 3348-3360. https://doi.org/10.1016/j.compositesb.2012.01.062
  13. Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012c), "Bending response of functionally graded plates by using a new higher order shear deformation theory", Compos. Struct., 94(2), 714-723. https://doi.org/10.1016/j.compstruct.2011.09.007
  14. Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012d), "A new trigonometric layerwise shear deformation theory for the finite element analysis of composite and sandwich plates", Comput. Struct., 94-95, 43-53.
  15. Oktem A.S., Alankaya, V. and Soares, C.G. (2013), "Boundary discontinuous fourier analysis of simply supported cross-ply plates", Appl. Math. Model., 37(3), 1378-1389. https://doi.org/10.1016/j.apm.2012.03.038
  16. Ortega, N.F. and Robles, S.I., (2003), "The design of hyperbolic paraboloids on the basis of their mechanical behaviour", Thin Walled Struct., 41(8), 769-784. https://doi.org/10.1016/S0263-8231(03)00025-9
  17. Reddy, J.N. (2003), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, second ed., CRC Press, Boca Raton, FL, USA.
  18. Rizzo, F. (2012), "Wind tunnel tests on hyperbolic paraboloidal roofs with elliptical plane shapes", Eng. Struct., 45, 536-558. https://doi.org/10.1016/j.engstruct.2012.06.049
  19. Rizzo, F. and Sepe, V. (2015), "Static loads to simulate dynamic effects of wind on hyperbolic paraboloid roofs with square plan", J. Wind Eng. Ind. Aerod., 137, 46-57. https://doi.org/10.1016/j.jweia.2014.11.012
  20. Rizzo, F., D'Asdia, P., Lazzari, M. and Procino, L. (2011), "Wind action evaluation on tension roofs of hyperbolic paraboloidal shape", Eng. Struct., 33(2), 445-461. https://doi.org/10.1016/j.engstruct.2010.11.001
  21. Rizzo, F., D'Asdia, P., Ricciardelli, F. and Bartoni, G. (2012), "Characterisation of pressure coefficients on hyperbolic paraboloid roofs", J. Wind Eng. Ind. Aerod., 102, 61-71. https://doi.org/10.1016/j.jweia.2012.01.003
  22. Singh, S., Patel, B.P. and Nath, Y. (2009), "Postbuckling of angleply laminated cylindrical shells with meridional curvature", Thin Walled Struct., 47(3), 359-364. https://doi.org/10.1016/j.tws.2008.07.002
  23. Tornabene, F. and Fantuzzi, N. (2014), Mechanics of Laminated Composite Doubly-Curvel Shell Structures: The Generalized Differential Quadrature Method And The Strong Formulation Finite Element Method, Societa Editrice Esculapio, Bologna.
  24. Vinson, J.R. (2005), Plate and Panel Structures of Isotropic, Composite And Piezoelectric Materials, Including Sandwich Construction, Springer, Netherlands.
  25. Viola, E., Tornabene, F. and Fantuzzi, N. (2013a), "Static analysis of completely doubly-curved laminated shells and panels using general higher-order shear deformation theories", Compos. Struct., 101, 59-93. https://doi.org/10.1016/j.compstruct.2013.01.002
  26. Viola, E., Tornabene, F. and Fantuzzi, N. (2013b), "General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels", Compos. Struct., 95, 639-666. https://doi.org/10.1016/j.compstruct.2012.08.005
  27. Youssif, Y.G. (2009), "Non-linear design and control optimization of composite laminated doubly curved shell", Compos. Struct., 88(3), 468-480. https://doi.org/10.1016/j.compstruct.2008.05.020
  28. Zenkour, A.M. (2013), "A simple four-unknown refined theory for bending analysis of functionally graded plates", Appl. Math. Model., 37(20-21), 9041-9051. https://doi.org/10.1016/j.apm.2013.04.022
  29. Zenkour, A.M. and Youssif, Y.G. (2000), "Free vibration analysis of symmetric cross-ply laminated elastic plates", Mech. Res. Commun., 27(2), 65-172.
  30. Zhen, W. and Wanji, C. (2007), "A study of global-local higher order theories for laminated composite plates", Compos. Struct., 79(1), 44-54. https://doi.org/10.1016/j.compstruct.2005.11.027