Structural Engineering and Mechanics

  • 제16권3호
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  • Pages.259-274
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  • 2003
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Differential cubature method for buckling analysis of arbitrary quadrilateral thick plates

  • Wu, Lanhe (Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute) ;
  • Feng, Wenjie (Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute)
  • 투고 : 2002.05.21
  • 심사 : 2003.06.27
  • 발행 : 2003.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, a novel numerical solution technique, the differential cubature method is employed to study the buckling problems of thick plates with arbitrary quadrilateral planforms and non-uniform boundary constraints based on the first order shear deformation theory. By using this method, the governing differential equations at each discrete point are transformed into sets of linear homogeneous algebraic equations. Boundary conditions are implemented through discrete grid points by constraining displacements, bending moments and rotations of the plate. Detailed formulation and implementation of this method are presented. The buckling parameters are calculated through solving a standard eigenvalue problem by subspace iterative method. Convergence and comparison studies are carried out to verify the reliability and accuracy of the numerical solutions. The applicability, efficiency, and simplicity of the present method are demonstrated through solving several sample plate buckling problems with various mixed boundary constraints. It is shown that the differential cubature method yields comparable numerical solutions with 2.77-times less degrees of freedom than the differential quadrature element method and 2-times less degrees of freedom than the energy method. Due to the lack of published solutions for buckling of thick rectangular plates with mixed edge conditions, the present solutions may serve as benchmark values for further studies in the future.

키워드

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피인용 문헌

  1. Buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates on elastic foundations vol.47, pp.2, 2012, https://doi.org/10.1007/s11012-011-9436-y
  2. Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers vol.71, 2013, https://doi.org/10.1016/j.tws.2013.05.008
  3. Free vibration analysis of arbitrary shaped thick plates by differential cubature method vol.47, pp.1, 2005, https://doi.org/10.1016/j.ijmecsci.2004.12.003
  4. Three-dimensional thermal buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates using differential quadrature method vol.93, pp.4, 2011, https://doi.org/10.1016/j.compstruct.2010.10.014
  5. Critical buckling load optimization of functionally graded carbon nanotube-reinforced laminated composite quadrilateral plates 2017, https://doi.org/10.1002/pc.24289