Structural Engineering and Mechanics

  • 제41권5호
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  • Pages.617-632
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  • 2012
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

NURBS-based isogeometric analysis for thin plate problems

  • Shojaee, S. (Civil Engineering Department, Shahid Bahonar University of Kerman) ;
  • Valizadeh, N. (Civil Engineering Department, Shahid Bahonar University of Kerman)
  • 투고 : 2011.03.12
  • 심사 : 2012.02.01
  • 발행 : 2012.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

An isogeometric approach is presented for static analysis of thin plate problems of various geometries. Non-Uniform Rational B-Splines (NURBS) basis function is applied for approximation of the thin plate deflection, as for description of the geometry. The governing equation based on Kirchhoff plate theory, is discretized using the standard Galerkin method. The essential boundary conditions are enforced by the Lagrange multiplier method. Several typical examples of thin plate and thin plate on elastic foundation are solved and compared with the theoretical solutions and other numerical methods. The numerical results show the robustness and efficiency of the proposed approach.

키워드

참고문헌

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피인용 문헌

  1. A Fortran implementation of isogeometric analysis for thin plate problems with the penalty method vol.33, pp.7, 2016, https://doi.org/10.1108/EC-10-2015-0306
  2. Application of isogeometric method to free vibration of Reissner–Mindlin plates with non-conforming multi-patch vol.82, 2017, https://doi.org/10.1016/j.cad.2016.04.006
  3. Hybrid of topological derivative-based level set method and isogeometric analysis for structural topology optimization vol.21, pp.6, 2016, https://doi.org/10.12989/scs.2016.21.6.1389
  4. Nitsche method for isogeometric analysis of Reissner–Mindlin plate with non-conforming multi-patches vol.35-36, 2015, https://doi.org/10.1016/j.cagd.2015.03.005