Structural Engineering and Mechanics

  • 제17권6호
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  • Pages.789-817
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  • 2004
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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

The G. D. Q. method for the harmonic dynamic analysis of rotational shell structural elements

  • Viola, Erasmo (D.I.S.T.A.R.T. - Scienza delle Costruzioni, University of Bologna) ;
  • Artioli, Edoardo (D.I.S.T.A.R.T. - Scienza delle Costruzioni, University of Bologna)
  • 투고 : 2003.08.04
  • 심사 : 2004.01.13
  • 발행 : 2004.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper deals with the modal analysis of rotational shell structures by means of the numerical solution technique known as the Generalized Differential Quadrature (G. D. Q.) method. The treatment is conducted within the Reissner first order shear deformation theory (F. S. D. T.) for linearly elastic isotropic shells. Starting from a non-linear formulation, the compatibility equations via Principle of Virtual Works are obtained, for the general shell structure, given the internal equilibrium equations in terms of stress resultants and couples. These equations are subsequently linearized and specialized for the rotational geometry, expanding all problem variables in a partial Fourier series, with respect to the longitudinal coordinate. The procedure leads to the fundamental system of dynamic equilibrium equations in terms of the reference surface kinematic harmonic components. Finally, a one-dimensional problem, by means of a set of five ordinary differential equations, in which the only spatial coordinate appearing is the one along meridians, is obtained. This can be conveniently solved using an appropriate G. D. Q. method in meridional direction, yielding accurate results with an extremely low computational cost and not using the so-called "delta-point" technique.

키워드

참고문헌

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  10. Vibration analysis of spherical structural elements using the GDQ method vol.53, pp.10, 2007, https://doi.org/10.1016/j.camwa.2006.03.039
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  12. Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution vol.198, pp.37-40, 2009, https://doi.org/10.1016/j.cma.2009.04.011
  13. Free Vibration Analysis of Spherical Caps Using a G.D.Q. Numerical Solution vol.128, pp.3, 2006, https://doi.org/10.1115/1.2217970
  14. NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution vol.6, pp.12, 2016, https://doi.org/10.3390/met6030068
  15. Static analysis of functionally graded conical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery vol.112, 2014, https://doi.org/10.1016/j.compstruct.2014.01.039
  16. 2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution vol.93, pp.7, 2011, https://doi.org/10.1016/j.compstruct.2011.02.006
  17. FGM and laminated doubly curved shells and panels of revolution with a free-form meridian: A 2-D GDQ solution for free vibrations vol.53, pp.6, 2011, https://doi.org/10.1016/j.ijmecsci.2011.03.007