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      NURBS-based isogeometric analysis for thin plate problems

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      https://www.riss.kr/link?id=A104817308

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      다국어 초록 (Multilingual Abstract)

      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...

      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.

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      참고문헌 (Reference)

      1 Nitsche, J., "Über ein variation zur lsung von Dirichlet-problemen bei Verwendung von teilrumen die keinen randbedingungen unterworfen sind" 36 : 9-15, 1971

      2 Ventsel, E., "Thin Plates and Shells: Theory, Analysis and Applications" Marcel Dekker 2001

      3 Timoshenko, S.P., "Theory of Plates and Shells, Second edition" McGraw Hill 1995

      4 Roh, H.Y., "The application of geometrically exact shell elements to B-spline surfaces" 193 : 2261-2299, 2004

      5 Piegl, L., "The NURBS Book (Monographs in Visual Communication), Second edition" Springer-Verlag 1997

      6 윤성기, "T-spline finite element method for the analysis of shell structures" JOHN WILEY SONS LTD 80 (80): 507-536, 200910

      7 Xiang, J., "Static and vibration analysis of thin plates by using finite element method of B-spline wavelet on the interval" 25 : 613-629, 2007

      8 Shen, P. C., "Spline Finite Element Methods in Structural Analysis" Hydraulic and Electric Press 1991

      9 Bazilevs, Y., "NURBS-based isogeometric analysis for the computation of flows about rotating components" 43 : 143-150, 2008

      10 Zhang, X., "Multivariable finite elements based on B-spline wavelet on the interval for thin plate static and vibration analysis" 46 : 416-427, 2010

      1 Nitsche, J., "Über ein variation zur lsung von Dirichlet-problemen bei Verwendung von teilrumen die keinen randbedingungen unterworfen sind" 36 : 9-15, 1971

      2 Ventsel, E., "Thin Plates and Shells: Theory, Analysis and Applications" Marcel Dekker 2001

      3 Timoshenko, S.P., "Theory of Plates and Shells, Second edition" McGraw Hill 1995

      4 Roh, H.Y., "The application of geometrically exact shell elements to B-spline surfaces" 193 : 2261-2299, 2004

      5 Piegl, L., "The NURBS Book (Monographs in Visual Communication), Second edition" Springer-Verlag 1997

      6 윤성기, "T-spline finite element method for the analysis of shell structures" JOHN WILEY SONS LTD 80 (80): 507-536, 200910

      7 Xiang, J., "Static and vibration analysis of thin plates by using finite element method of B-spline wavelet on the interval" 25 : 613-629, 2007

      8 Shen, P. C., "Spline Finite Element Methods in Structural Analysis" Hydraulic and Electric Press 1991

      9 Bazilevs, Y., "NURBS-based isogeometric analysis for the computation of flows about rotating components" 43 : 143-150, 2008

      10 Zhang, X., "Multivariable finite elements based on B-spline wavelet on the interval for thin plate static and vibration analysis" 46 : 416-427, 2010

      11 Wall, W.A., "Isogeometric structural shape optimization" 197 : 2976-2988, 2008

      12 Kiendl, J., "Isogeometric shell analysis with Kirchhoff-Love elements" 198 : 3902-3914, 2009

      13 Benson, D.J., "Isogeometric shell analysis : the Reissner-Mindlin shell" 199 : 276-289, 2010

      14 Bazilevs, Y., "Isogeometric fluid-structure interaction analysis with applications to arterial blood flow" 38 : 310-322, 2006

      15 Bazilevs, Y., "Isogeometric fluid-structure interaction : theory, algorithms and computations" 43 : 3-37, 2008

      16 Hughes, T.J.R., "Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement" 194 : 4135-4195, 2005

      17 Hoschek, J., "Fundamentals of Computer Aided Geometric Design" A.K. Peters, Ldt, Wellesley 1993

      18 Qian, X., "Full analytical sensitivities in NURBS based isogeometric shape optimization" 199 : 2059-2071, 2010

      19 Ghorashi, S.S., "Extended isogeometric analysis for simulation of stationary and propagating cracks" 2011

      20 Belytschko, T., "Element free Galerkin methods" 37 : 229-256, 1994

      21 Liu, F.L., "Differential cubature method for static solutions of arbitrary shaped thick plates" 35 : 3655-3674, 1998

      22 Krysl, P., "Analysis of thin plates by the element-free Galerkin method" 17 : 26-35, 1995

      23 Verhoosel, C.V., "An isogeometric approach to cohesive zone modeling" 87 : 336-360, 2011

      24 Verhoosel, C.V., "An isogeometric analysis approach to gradient damage models" 86 : 115-134, 2011

      25 Zhu, T., "A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method" 21 : 211-222, 1998

      26 Liu, Y., "A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems" 66 : 1153-1178, 2006

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      2016 1.12 0.62 0.94
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.79 0.68 0.453 0.33
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