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Original Articles

On the vibration analysis of laminated composite parabolic arches with variable cross-section of various ply stacking sequences

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Pages 1658-1672 | Received 23 Apr 2018, Accepted 11 Sep 2018, Published online: 05 Nov 2018

References

  • K.K. Teh and C.C. Huang, The vibrations of generally orthotropic beams, a finite element approach, J. Sounds Vib., vol. 62, no. 2, pp. 195–206, 1979.
  • K. Chandrashekhara and K.M. Bangera, Free vibration of composite beams using a refined shear flexible beam element, Comp. Struct., vol. 43, no. 4, pp. 719–727, 1992.
  • H. Abramovich and A. Livshits, Free vibrations of non-symmetric cross-ply laminated composite beams, J. Sounds Vib., vol. 176, no. 5, pp. 597–612, 1994.
  • A.A. Khdeir and J.N. Reddy, Free vibration of cross-ply laminated beams with arbitrary boundary conditions, Int. J. Eng. Sci., vol. 32, no. 12, pp. 1971–1980, 1994.
  • S.R. Rao and N. Ganesan, Dynamic response of non-uniform composite beams, J. Sounds Vib., vol. 200, no. 5, pp. 563–577, 1997.
  • V. Yıldırım, E. Sancaktar, and E. Kıral, Free vibration analysis of symmetric cross-ply laminated composite beams with the help of the transfer matrix approach, Commun. Numer. Methods Eng., vol. 15, no. 9, pp. 651–660, 1999.
  • V. Yıldırım, In-plane free vibration of symmetric cross-ply laminated circular bars, J. Eng. Mech., vol. 125, no. 6, pp. 630–636, 1999.
  • V. Yıldırım and E. Kıral, Investigation of the rotary inertia and shear deformation effects on the out-of-plane bending and torsional natural frequencies of laminated beams, Compos. Struct., vol. 49, no. 3, pp. 313–320, 2000.
  • F.F. Çalım, “Dynamic analysis of viscoelastic, anisotropic curved spatial rod systems,” (In Turkish) PhD thesis, Çukurova University, Adana, 2003.
  • B. Temel, F.F. Çalım, and N. Tütüncü, Forced vibration of composite cylindrical helical rods, Int. J. Mech. Sci., vol. 47, no. 7, pp. 998–1022, 2005.
  • S. Saatçı, “Analytical and finite element investigation of layered beams. Msc. thesis,” Orta Doğu Üniversitesi Fen Bilimleri Enstitüsü, Ankara, 2001.
  • M.S. Qatu and A.A. Elsharkawy, Vibration of laminated composite arches with deep curvature and arbitrary boundaries, Comp. Struct, vol. 47, no. 2, pp. 305–311, 1993.
  • Y.P. Tseng, C.S. Huang, and M.S. Kao, In-plane vibration of laminated curved beams with variable curvature by dynamic stiffness analysis, Compos. Struct., vol. 50, no. 2, pp. 103–114, 2000.
  • P. Malekzadeh, A.R. Setoodeh, and E. Barmshouri, A hybrid layer wise and differential quadrature method for in-plane free vibration of laminated thick circular arches, J. Sounds Vib., vol. 315, no. 1–2, pp. 212–225, 2008.
  • M.S. Kameswara Rao, Y.M. Desai, and M.R. Chitnis, Free vibrations of laminated beams used mixed theory, Comp. Struct., vol. 52, no. 2, pp. 149–160, 2001.
  • N. İnce, “In-plane and out-of-plane free vibration analysis of layered composite curved beams with variable cross-section,” (In Turkish) Ph.D. thesis, Çukurova University, Adana, 2000.
  • L. Jun, H. Hongxing, and S. Rongying, Free vibration of laminated composite circular arches by dynamic stiffness analysis, J. Reinforced Plastics Compos., vol. 27, pp. 8, 2008.
  • J.L. Mantari and F.G. Canales, Free vibration and buckling of laminated beams via hybrid ritz solution for various penalizerd boundary conditions, Comp. Struct., vol. 152, pp. 306–315, 2008. doi:S0263-8223(16)30552-9.
  • Y. Tiangui, J. Guoyong, and S. Zhu, A spectral-sampling surface method for the vibration of 2-D laminated curved beams with variable curvatures and general restraints, Int. J. Mech. Sci., vol. 110, pp. 170–189, 2016.
  • M. Kıraç, Dynamic analysis of straight composite rods. MSc. Thesis, Mustafa Kemal University, Hatay, 2007.
  • X. Xie, H. Zheng, and H. Yang, Vibration analysis of laminated and stepped circular arches by a strong formulation spectral collocation approach, Int. J. Appl. Mech., vol. 8, no. 3, 2016.
  • F. Tornabene and R. Dimitri, A numerical study of the seismic response of arched and vaulted structures made of isotropic or composite materials, Eng. Struct., vol. 159, pp. 332–366, 2018.
  • T. Ye, G. Jin, X. Ye, and X. Wang, A series solution for the vibrations of composite laminated deep curved beams with general boundaries, Compos. Struct., vol. 127, pp. 450–465, 2015.
  • Q. Lü and C.F. Lü, Exact two-dimensional solutions for in-plane natural frequencies of laminated circular arches, J. Sounds Vib., vol. 318, no. 4-5, pp. 982–990, 2008.
  • L. Jun, H. Hongxing, and S. Rongying, Free vibration of laminated composite circular arches by dynamic stiffness analysis, J. Reinforced Plastics Compos., vol. 27, no. 8, pp. 851–870, 2008.
  • Z. Kıral, Damped response of symmetric laminated composite beams to moving load with different boundary conditions, J. Reinforced Plastics Compos., vol. 28, no. 20, pp. 2511–2526, 2009.
  • M. Çevik, In-plane vibration analysis of symmetric angle-ply laminated composite arches, Gazi University J. Sci., vol. 23, no. 2, pp. 187–199, 2010.
  • S.R. Marur, and T. Kant, Transient dynamic analysis of higher order sandwich and composite arches, Compos. Struct., vol. 93, no. 4, pp. 1201–1216, 2011.
  • S.M. Hashemi and E.J. Adique, Free vibration analysis of curved sandwich beams: a dynamic finite element, Int. J. Vehicle Struct. Syst., vol. 1, pp. 37–56, 2011.
  • D. Shao, S. Hu, Q. Wang, and F. Pang, Free vibration of refined higher-order shear deformation composite laminated beams with general boundary conditions, Compos. B, vol. 108, pp. 75–90, 2017.
  • A.T. Luu, N. Kim, and J. Lee, Isogeometric vibration analysis of free-form timoshenko curved beams, Meccanica, vol. 50, no. 1, pp. 169–187, 2015.
  • A.T. Luu, N. Kim, and J. Lee, 2D vibration analysis of circular arches with constant double symmetric cross-sections using isogeometric approach, KSCE J. Civil Eng., vol. 21, no. 7, pp. 2751–2763, 2017.
  • S.S. Sahoo, S.K. Panda, and V.K. Singh, Experimental and numerical investigation of static and free vibration responses of woven glass/epoxy laminated composite plate, proceedings of the institution of mechanical engineers, part L, J. Mater. Design Appl., vol. 231, pp. 433–442, 2015.
  • S.S. Sahoo, V.K. Singh, and S.K. Panda, Nonlinear flexural analysis of shallow carbon/epoxy laminated composite curved panels: experimental and numerical investigation, J. Eng. Mech., vol. 142, no. 4, pp. 04016008, 2016.
  • C.K. Hirwani, T.R. Mahapatra, S.K. Panda, S.S. Sahoo, V.K. Singh, and B.K. Patle, Nonlinear free vibration analysis of laminated carbon/epoxy curved panels, Defence Sci. J., vol. 67, no. 2, pp. 207–218, 2017.
  • S.C. Chapra and R.P. Canale, Numerical Methods for Engineers with Programming and Software Applications. Boston: McGraw-Hill Books, 1998.
  • ANSYS Swanson Analysis System, Inc., 201 Johnson Road, Houston, PA15342 1300, USA.
  • B. Temel, T.A. Aslan, and A.R. Noori, An efficient dynamic analysis of planar arches, Eur. Mech. Sci., vol. 1, no. 3, pp. 82–88, 2017.
  • N. Tütüncü and B. Temel, An efficient unified method for thermoelastic analysis of functionally graded rotating disks of variable thickness, Mech. Adv. Mater. Struct., vol. 20, no. 1, pp. 38–46, 2013.
  • S. Yıldırım and N. Tütüncü, On the inertio-elastic instability of variable-thickness functionally-graded disks, Mech. Res. Commun., vol. 91, pp. 1–6, 2018.
  • F. Durbin, Numerical inversion of laplace transforms: an efficient improvement to dubner and abate’s method, Comput. J., vol. 17, no. 4, pp. 371–376, 1974.
  • B. Temel and M.F. Şahan, Transient analysis of orthotropic, viscoelastic thick plates in the Laplace domain, Eur. J. Mech. A Solids, vol. 37, pp. 96–105, 2013.
  • A.A. Khdeir and J.N. Reddy, "Free and forced vibration of cross-ply laminated composite shallow arches, Int. J. Solids Struct., vol. 34, no. 10, pp. 1217–1234, 1997.
  • X. Li and C.G. Soares, Spectral finite element analysis of in-plane free vibration of laminated composite shallow arches, Compos. Struct., vol. 132, pp. 484–494, 2015.
  • Mechanical APDL Element Reference, 2013, Inc., 275 Technology Drive, Canonsburg, PA 15317.
  • Mechanical APDL Theory Reference, 2013, Inc., 275 Technology Drive, Canonsburg, PA.
  • A.R. Noori, T.A. Aslan, and B. Temel, Damped transient response of in-plane and out-of- plane loaded stepped curved rods, J. Brazil. Soc. Mech. Sci. Eng., vol. 40, no 28, 2018.
  • R.M. Jones, Mechanics of Composite Materials. New York: Hemisphere Publishing Corporation, 1975.
  • R.C. Reuter, Concise property transformation relations for an anisotropic lamina, J. Compos. Mater., vol. 5, no. 2, pp. 270–272, 1971.
  • N. Eratlı, H. Argeso, F.F. Çalım, B. Temel, and M.H. Omurtag, Dynamic analysis of linear viscoelastic cylindrical and conical helicoidal rods using the mixed FEM, J. Sound Vib., vol. 333, no. 16, pp. 3671–3690, 2014.
  • E.O. Brigham, The Fast Fourier Transform. Prentice-Hall, Inc. Englewood Cliffs, NJ, 1974.
  • G.V. Narayanan, “Numerical operational methods in structural dynamics,” Ph.D. thesis, Minneapolis, University of Minnesota 1980.

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