Steel and Composite Structures

  • 제29권4호
  • /
  • Pages.493-508
  • /
  • 2018
  • /
  • 1229-9367(pISSN)
  • /
  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Free vibration of symmetrically laminated quasi-isotropic super-elliptical thin plates

  • Altunsaray, Erkin (Institute of Marine Science and Technology, Dokuz Eylul University)
  • 투고 : 2018.04.04
  • 심사 : 2018.11.09
  • 발행 : 2018.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

Free vibration analysis of super-elliptical composite thin plates was investigated. Plate is formed by symmetrical quasi-isotropic laminates. Rayleigh-Ritz method was used for parametric analysis based on the governing differential equations of Classical Laminated Plate Theory (CLPT). Simply supported and clamped boundary conditions at the periphery of plates were considered. Parametric study was performed for the effect of different lamination type, aspect ratio, thickness and super-elliptical power on natural frequencies. Convergence study and validation of isotropic case were achieved. A number of design parameters like different dimensions, structure systems, panel sizes, panel thicknesses, lamination sequences, boundary conditions and loading conditions must be considered in the production of composite ships. The number of possible combinations practically may be so high that a parametric study should be carried out in order to determine the optimum design parameters rapidly during the preliminary design stage. The use of Rayleigh-Ritz method could make this parametric study possible. Thereby it might be decreasing the consumption of time, material and labor. Certain results for some different super-elliptical powers presented in tabulated form in Appendix for designers as well.

키워드

참고문헌

  1. Afsharmanesh, B., Ghaheri, A. and Taheri-Behrooz, F. (2014), "Buckling and vibration of laminated composite circular plate on winkler-type foundation", Steel Compos. Struct., Int. J., 17(1), 1-19. https://doi.org/10.12989/scs.2014.17.1.001
  2. Altekin, M. (2009), "Free vibration of orthotropic super-elliptical plates on intermediate supports", Nucl. Eng. and Design, 239, 981-999.
  3. Altekin, M. (2017), "Free transverse vibration of shear deformable super-elliptical plates", Wind Struct., Int. J., 24(4), 307-331. https://doi.org/10.12989/was.2017.24.4.307
  4. Altunsaray, E. (2017), "Static deflection of symmetrically laminated quasi-isotropic super-elliptical thin plates", Ocean Eng., 141, 337-350.
  5. Altunsaray, E. and Bayer, I. (2013) "Deflection and free vibration of symmetrically laminated quasi-isotropic thin rectangular plates for different boundary conditions", Ocean Eng., 57, 197-222.
  6. Aran, A. (1990), Elyaf takviyeli karma malzemeler, ITU. [In Turkish]
  7. Bui, T.Q. and Nguyen, M.N. (2011), "A novel meshfree model for buckling and vibration analysis of rectangular orthotropic plates", Struct. Eng. Mech., Int. J., 39(4), 579-598. https://doi.org/10.12989/sem.2011.39.4.579
  8. Ceribasi, C. (2012), "Static and dynamic analyses of thin uniformly loaded super elliptical FGM plates", Mech. Adv. Mat. Struct., 19(5), 323-335. https://doi.org/10.1080/15376494.2010.528160
  9. Ceribasi, S. and Altay, G. (2009), "Free vibration of super elliptical plates with constant and variable thickness by Ritz method", J. Sound Vib, 319(1-2), 668-680. https://doi.org/10.1016/j.jsv.2008.06.010
  10. Chen, C.C., Lim, C.W. and Kitipornchai, S. (1999), "Vibration of symmetrically laminated thick super elliptical plates", J. Sound Vib., 220(4), 659-682. https://doi.org/10.1006/jsvi.1998.1957
  11. Eric Green Associates, Inc. (1999), Marine Composites. http://www.ericgreeneassociates.com/images/MARINE_COMPOSITES.pdf
  12. Ghaheri, A., Keshmiri, A. and Taheri-Behrooz, F. (2014), "Buckling and vibration of symmetrically laminated composite elliptical plates on an elastic foundation subjected to uniform inplane force", J. Eng. Mech., 140(7), 04014049.
  13. Ghaheri, A., Nosier, A. and Keshmiri, A. (2016), "Parametric stability of symmetrically laminated composite super-elliptical plates", J. Comp. Mater., 50(28), 3935-3951. https://doi.org/10.1177/0021998316629481
  14. Harper, C.A. (2002), Handbook of Plastics, Elastomers & Composites, (4th Edition), McGraw-Hill, NY, USA.
  15. Irie, T., Yamada, G. and Sonoda, M. (1983), "Natural frequencies of square membrane and square plate with rounded corners", J. Sound Vib., 86(3), 442-448. https://doi.org/10.1016/0022-460X(83)90588-6
  16. Jones, R.M. (1999), Mechanics of composite materials, (2nd Edition), Brunner-Routledge, New York - London.
  17. Kim, C.S. (2003), "Natural frequencies of orthotropic, elliptical and circular plates", J. Sound Vib., 259(3), 733-745. https://doi.org/10.1006/jsvi.2002.5278
  18. Kreja, I. (2011), "A literature review on computational models for laminated composite and sandwich panels", Cent. Eur. J. Eng., 1(1), 59-80. https://doi.org/10.2478/s13531-011-0005-x
  19. Kumar, Y. (2018), "The Rayleigh-Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review", J. Vib. Cont., 24(7), 1205-1227. https://doi.org/10.1177/1077546317694724
  20. Liew, K.M. and Feng, Z.C. (2001), "Three-dimensional free vibration analysis of perforated super elliptical plates via the p-Ritz method", Int. J. Mec. Sci., 43, 2613-2630. https://doi.org/10.1016/S0020-7403(01)00051-0
  21. Liew, K.M., Kitipornchai, S. and Lim, C.W. (1998), "Free vibration analysis of thick superelliptical plates", J. Eng. Mech., 124(2), 137-145. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:2(137)
  22. Lim, C.M., Kitipornchai, S. and Liew, K.M. (1998), "A freevibration analysis of doubly connected super-elliptical laminated composite plates", Compos. Sci. Tech., 58, 435-445. https://doi.org/10.1016/S0266-3538(97)00167-X
  23. Mishra, I. and Sahu, S.K. (2012), "An experimental approach to free vibration response of woven fiber composite plates under free-free boundary condition", Int. J. Adv. Tech. Civ. Eng., 1(2), 67-72.
  24. Mouritz, A.P., Gellert, E., Burchill, P. and Challis, K. (2001), "Review of advanced composite structures for naval ships and submarines", Compos. Struct., 53(1), 21-41. https://doi.org/10.1016/S0263-8223(00)00175-6
  25. Nallim, L.G. and Grossi, R.O. (2008), "Natural frequencies of symmetrically laminated elliptical and circular plates", Int. J. Mech. Sci., 50, 1153-1167. https://doi.org/10.1016/j.ijmecsci.2008.04.005
  26. Nayak, N., Meher, S. and Sahu, S.K. (2013), "Experimental and numerical study on vibration and buckling characteristics of glass-carbon-epoxy hybrid composite plates", Proceedings of International Conference on Advances in Civil Engineering, AETACE, Elsevier, pp. 888-895.
  27. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, (2nd Ed.), CRC Press, Boca Raton, FL, USA.
  28. Sadoune, M., Tounsi, A., Houari, M.S.A. and Bedia, E.A.A. (2014), "A novel first-order shear deformation theory for laminated composite plates", Steel Compos. Struct., Int. J., 17(3), 321-338. https://doi.org/10.12989/scs.2014.17.3.321
  29. Sayyad, A.S. and Ghugal, Y.M. (2015), "On the free vibration analysis of laminated composite and sandwich plates- A review of recent literature with some numerical results", Compos. Struct., 129, 177-201.
  30. Singhatanadgid, P. and Wetchayanon, T. (2014), "Vibration analysis of laminated plates with various boundary conditions using extended Kantorovich method", Struct. Eng. Mech., Int. J., 52(1), 115-136. https://doi.org/10.12989/sem.2014.52.1.115
  31. Tsai, S.W. (1988), Composites Design, (4th Edition), Think Composites.
  32. Turk Loydu Rules (2017), Part A, Chapter 1 - Hull. http://www.turkloydu.org/pdf-files/turk-loydu-kurallari/cilta/chapter-1-hull-2017-JULY.pdf
  33. Wang, C.M., Wang, L. and Liew, K.M. (1994), "Vibration and buckling of super elliptical plates", J. Sound Vib., 171(3), 301-314. https://doi.org/10.1006/jsvi.1994.1122
  34. Zhangh, D. and Zhou, H. (2014), "Nonlinear symmetric free vibration analysis of super elliptical isotropic thin plates", Compos. Mater. Continua, 40(1), 21-34
  35. Zhou, D., Lo, S.H., Cheung, Y.K. and Au, F.T.K. (2004), "3-D vibration analysis of generalized super elliptical plates using Chebyshev-Ritz method", Int. J. Sol. Struct., 41, 4697-4712. https://doi.org/10.1016/j.ijsolstr.2004.02.045