Structural Engineering and Mechanics

  • 제55권4호
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  • Pages.719-742
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  • 2015
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

New enhanced higher order free vibration analysis of thick truncated conical sandwich shells with flexible cores

  • Fard, Keramat Malekzadeh (Department of Structural Analysis and Simulation, Space research institute, MalekAshtar University of Technology) ;
  • Livani, Mostafa (Department of Structural Analysis and Simulation, Space research institute, MalekAshtar University of Technology)
  • 투고 : 2015.03.07
  • 심사 : 2015.06.21
  • 발행 : 2015.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper dealt the free vibration analysis of thick truncated conical composite sandwich shells with transversely flexible cores and simply supported boundary conditions based on a new improved and enhanced higher order sandwich shell theory. Geometries were used in the present work for the consideration of different radii curvatures of the face sheets and the core was unique. The coupled governing partial differential equations were derived by the Hamilton's principle. The in-plane circumferential and axial stresses of the core were considered in the new enhanced model. The first order shear deformation theory was used for the inner and outer composite face sheets and for the core, a polynomial description of the displacement fields was assumed based on the second Frostig's model. The effects of types of boundary conditions, conical angles, length to radius ratio, core to shell thickness ratio and core radius to shell thickness ratio on the free vibration analysis of truncated conical composite sandwich shells were also studied. Numerical results are presented and compared with the latest results found in literature. Also, the results were validated with those derived by ABAQUS FE code.

키워드

참고문헌

  1. Biglari, H. and Jafari, A.A. (2010), "Static and free vibration analyses of doubly curved composite sandwich panels with soft core based on a new three-layered mixed theory", J. Mech. Eng. Sci., 224, 2332-2349. https://doi.org/10.1243/09544062JMES2143
  2. Civalek, O. (2007), "Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach", J. Comput. Appl. Math., 205(1), 251-271. https://doi.org/10.1016/j.cam.2006.05.001
  3. Frostig, Y. and Baruch, M. (1994), "Free vibration of sandwich beams with a transversely flexible core: a high order approach", J. Sound Vib., 176(2), 195-208. https://doi.org/10.1006/jsvi.1994.1368
  4. Frostig, Y. and Thomsen, O.T. (2004), "Higher-order free vibration of sandwich panels with a flexible core", Int. J. Solid. Struct., 41, 1697-1724. https://doi.org/10.1016/j.ijsolstr.2003.09.051
  5. Ghannad, M., Zamani Nejad, M., Rahimi, G.H. and Sabouri, H. (2012), "Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials", Struct. Eng. Mech., 43(1), 105-126. https://doi.org/10.12989/sem.2012.43.1.105
  6. Ghavanloo, E. and Fazelzadeh, S.A. (2013), "Free vibration analysis of orthotropic doubly-curved shallow shells based on the gradient elasticity", Compos. Part B: Eng., 45(1), 1448-1457. https://doi.org/10.1016/j.compositesb.2012.09.054
  7. Jalili, S., Zamani, J., Shariyat, M., Jalili, N., Ajdari, M.A.B. and Jafari, M. (2014), "Experimental and numerical investigation of composite conical shells", Struct. Eng. Mech., 49(5), 555-568. https://doi.org/10.12989/sem.2014.49.5.555
  8. Joshi, R.M. and Patel, B.P. (2010), "Nonlinear thermoelastic response of laminated composite conical panels", Struct. Eng. Mech., 34(1), 97-107. https://doi.org/10.12989/sem.2010.34.1.097
  9. Kheirikhah, M.M., Khalili, S.M.R. and Malekzadeh Fard, K. (2011), "Biaxial buckling analysis of soft-core composite sandwich plates using improved high-order theory", Eur. J. Mech. A Solid., 31, 54-66.
  10. Kheirikhah, M.M., Khalili, S.M.R. and Malekzadeh Fard, K. (2012), "Analytical solution for bending analysis of soft-core composite sandwich plates using improved high-order theory", Struct. Eng. Mech., 44(1), 15-31. https://doi.org/10.12989/sem.2012.44.1.015
  11. Li, F.M., Kishimoto, K. and Huang, W.H. (2009), "The calculations of natural frequencies and forced vibration responses of conical shell using the Rayleigh-Ritz method", Mech. Res. Commun., 36, 595-602. https://doi.org/10.1016/j.mechrescom.2009.02.003
  12. Liang, S., Chen, H.L., Chen, T. and Wang, M.Y. (2007), "The natural vibration of a symmetric cross-ply laminated composite conical-plate shell", Comput. Struct., 80, 265-278. https://doi.org/10.1016/j.compstruct.2006.05.014
  13. Malekzadeh, K., Khalili, M.R. and Mittal, R.K. (2005), "Local and global damped vibrations of plates with a viscoelastic soft flexible core: an improved high-order approach", J. Sandw. Struct. Mater., 7, 431-456. https://doi.org/10.1177/1099636205053748
  14. Malekzadeh Fard, K. (2014), "Higher order free vibration of sandwich curved beams with a functionally graded core", Struct. Eng. Mech., 49(5), 537-554. https://doi.org/10.12989/sem.2014.49.5.537
  15. Mochida, Y., Ilanko, S., Duke, M. and Narita, Y. (2012), "Free vibration analysis of doubly curved shallow shells using the superposition-Galerkin method", J. Sound Vib., 331, 1413-1425. https://doi.org/10.1016/j.jsv.2011.10.031
  16. Qatu, M.S. (2004), Vibration of Laminated Shells and Plates, Elsevier Ltd., Oxford
  17. Rahmani, O., Khalili, S.M.R. and Malekzadeh, K. (2009), "Free vibration response of composite sandwich cylindrical shell with flexible core", Comput. Struct., 92, 1269-1281.
  18. Reddy, J.N. (2003), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, New York.
  19. Shu, C. (1996), "Free vibration analysis of composite laminated conical shells by generalized differential quadrature", J. Sound Vib., 194, 587-604. https://doi.org/10.1006/jsvi.1996.0379
  20. Sofiyev, A.H. (2011), "Non-linear buckling behavior of FGM truncated conical shells subjected to axial load", Int. J. Nonlin. Mech., 46, 711-719. https://doi.org/10.1016/j.ijnonlinmec.2011.02.003
  21. Sofiyev, A.H., Korkmaz, K.A., Mammadov, Z. and Kamanli, M. (2009), "The vibration and buckling of freely supported non-homogeneous orthotropic conical shells subjected to different uniform pressures", Int. J. Pres. Ves. Pip., 86, 661-668. https://doi.org/10.1016/j.ijpvp.2009.03.012
  22. Tong, L. (1994), "Free vibration of laminated conical shells including transverse shear deformation", Int. J. Solids Struct., 31, 443-456. https://doi.org/10.1016/0020-7683(94)90085-X
  23. Tornabene, F. (2009), "Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution", Comput. Meth. Appl. Mech. Eng., 198, 2911-2935. https://doi.org/10.1016/j.cma.2009.04.011
  24. Viola, E., Tornabene, F. and Fantuzzi N. (2013), "General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels", Comput. Struct., 95, 639-666. https://doi.org/10.1016/j.compstruct.2012.08.005
  25. Viswanathan, K.K., Javed, S. and Abdul Aziz, Z. (2013), "Free vibration of symmetric angle-ply layered conical shell frusta of variable thickness under shear deformation theory", Struct. Eng. Mech., 45(2), 259-275. https://doi.org/10.12989/sem.2013.45.2.259
  26. Wu, C.P. and Lee, C.Y. (2001), "Differential quadrature solution for the free vibration analysis of laminated conical shells with variable stiffness", Int. J. Mech. Sci., 43, 1853-1869. https://doi.org/10.1016/S0020-7403(01)00010-8
  27. Yas, M.H., Sobhani Aragh, B. and Heshmati, M. (2011), "Three-dimensional free vibration analysis of functionally graded fiber reinforced cylindrical panels using differential quadrature method", Struct. Eng. Mech., 37(5), 529-542. https://doi.org/10.12989/sem.2011.37.5.529
  28. Zhao, X. and Liew, K.M. (2011), "Free vibration analysis of functionally graded conical shell panels by a meshless method", Comput. Struct., 93, 649-664. https://doi.org/10.1016/j.compstruct.2010.08.014

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