Structural Engineering and Mechanics

  • 제61권4호
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  • Pages.437-440
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  • 2017
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Bending of an isotropic non-classical thin rectangular plate

  • Fadodun, Odunayo O. (Department of Mathematics, Obafemi Awolowo University) ;
  • Akinola, Adegbola P. (Department of Mathematics, Obafemi Awolowo University)
  • 투고 : 2016.06.24
  • 심사 : 2016.10.11
  • 발행 : 2017.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

This study investigates the bending of an isotropic thin rectangular plate in finite deformation. Employing hyperelastic material of John's type, a non-classical model which generalizes the famous Kirchhoff's plate equation is obtained. Exact solution for deflection of the plate under sinusoidal loads is obtained. Finally, it is shown that the non-classical plate under consideration can be used as a replacement for Kirchhoff's plate on an elastic foundation.

키워드

참고문헌

  1. Akinola, A. (2001), "An application of nonlinear fundamental problems of a transversely isotropic layer in finite deformation", Int. J. Nonlin. Mech., 91(3), 307-321.
  2. An, C., Gu, J. and Su, J. (2015), "Exact solution of bending of clamped orthotropic rectangular thin plates", J. Braz. Soc. Mech. Sci. Eng., 38(2), 601-607.
  3. Batista, M. (2010), "New analytic solution for bending problem of uniformly loaded rectangular plate supported on corner points", IES J. Part A: Civil Struct. Eng., 3(2), 462-474.
  4. Fadodun, O.O. (2014), "Two-dimensional theory for a transversely isotropic thin plate in nonlinear elasticity", Ph.D. dissertation, Obafemi Awolowo University, Ile-Ife, Nigeria.
  5. Imrak, E. and Fetvaci, C. (2009), "An exact solution of a clamped rectangular plate under uniform Load", Appl. Math. Sci., 1(43), 2129-2137.
  6. Imrak, E. and Gerdemali, I. (2009), "The deflection solution of a clamped rectangular thin plate carrying uniformly load", Mech. Bas. Des. Struct. Mach., 37, 462-474 https://doi.org/10.1080/15397730903124262
  7. Lie, R., Zhong, Y. and Liu, Y. (2009), "On finite integral transform method for exact bending solutions of fully clamped orthtropic rectangular thin plates", Appl. Math. Lett., 22, 1821-1827. https://doi.org/10.1016/j.aml.2009.07.003
  8. Lychev, S.A., Lycheva, T.N. and Manzhirov, A.V. (2011), "Unsteady vibration of a growing circular plate", Mech. Solid., 46(2), 325-333. https://doi.org/10.3103/S002565441102021X
  9. Ventsel, E. and Krauthammer, T. (2001), Thin plate and shell theory, analysis and application, Marce Dekker, Inc., New York and Basel NY, USA.
  10. Wu, H.J., Liu, A.Q. and Chen, H.L. (2007), "Exact solution for free-vibration analysis of rectangular plates using Bessel functions", J. Appl. Mech., 74, 1247-1251. https://doi.org/10.1115/1.2744043
  11. Zhang, C.C., Zhu, H.H., Shi, B. and Mei, G.X. (2014), "Bending of a rectangular plate resting on a fractionalized Zener foundation", Struct. Eng. Mech., 52(6), 1069-1084. https://doi.org/10.12989/sem.2014.52.6.1069
  12. Zhong, Y., Zhao, X. and Liu, H. (2013), "Vibration of plate on foundation with four edges free by finite cosine integral transform method", Latin Am. J. Solid. Struct., 11(5), 854-862. https://doi.org/10.1590/S1679-78252014000500008

피인용 문헌

  1. Dynamic analysis of a transversely isotropic non-classical thin plate vol.25, pp.1, 2017, https://doi.org/10.12989/was.2017.25.1.025
  2. Fractional wave propagation in radially vibrating non-classical cylinder vol.13, pp.5, 2017, https://doi.org/10.12989/eas.2017.13.5.465
  3. Analysis of axisymmetric fractional vibration of an isotropic thin disc in finite deformation vol.23, pp.5, 2019, https://doi.org/10.12989/cac.2019.23.5.303
  4. Conformable solution of fractional vibration problem of plate subjected to in-plane loads vol.28, pp.6, 2019, https://doi.org/10.12989/was.2019.28.6.347