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Isogeometric Analysis of Mindlin Plate Structures Using Commercial CAD Codes  

Lee, Seung-Wook (서울대학교 조선해양공학과 아이소-지오메트릭 최적설계 창의연구단)
Koo, Bon-Yong (서울대학교 조선해양공학과 아이소-지오메트릭 최적설계 창의연구단)
Yoon, Min-Ho (서울대학교 조선해양공학과 아이소-지오메트릭 최적설계 창의연구단)
Lee, Jae-Ok (현대중공업 기술연구소)
Cho, Seon-Ho (서울대학교 조선해양공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.24, no.3, 2011 , pp. 329-335 More about this Journal
Abstract
The finite element method (FEM) has been used for various fields like mathematics and engineering. However, the FEM has a difficulty in describing the geometric shape exactly due to its property of piecewise linear discretization. Recently, however, a so-called isogeometric analysis method that uses the non-uniform rational B-spline(NURBS) basis function has been developed. The NURBS can be used to describe the geometry exactly and play a role of basis functions for the response analysis. Nevertheless, constructing the NURBS basis functions in analysis is as costly as a meshing process in the FEM. Since the isogeometric method shares geometric data with CAD, it is possible to intactly import the model data from commercial CAD tools. In this paper, we use the Rhinoceros 3D software to create CAD models and export in the form of STEP file. The information of knot vectors and control points in the NURBS is utilized in the isogeometric analysis. Through some numerical examples, the accuracy of isogeometric method is compared with that of FEM. Also, the efficiency of the isogeometric method that includes the CAD and CAE in a unified framework is verified.
Keywords
Isogeometric analysis; Non-uniform rational B-spline(NURBS); Computer aided design(CAD); Mindlin Plate; Rhinoceros;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 조선호, 안승호, 김민근 (2010) 응력 제한조건을 갖는 구조물의 아이소-지오메트릭 형상 최적설계, 한국전산구조공학회논문집, 23(4), pp.275-282.
2 최진복, 노희열, 조맹효 (2007) NUBRS 곡면기반의 기하하적 모델링과 셸 유한요소해석의 연동, 대한기계학회 논문집A권, 31(1), pp.105-112.
3 Cho, M., Cho, J.B., Roh, H.Y. (2008) Ingration of Shell FEA with Geometric Modeling on NURBS Suface Representation for Practical Applications, Computer Modeling in Engineering and Science, 33(1), pp.17-41.
4 Cho, M., Roh, H.Y. (2003) Development of Geometrically Exact New Shell Elements Based on General Cuvilinear Coordinates, International Journal for Numerical Method in Engineering, 56(1), pp.81- 115.   DOI   ScienceOn
5 Hughes, T.J.R., Cottrell, J.A., Bazileves, Y. (2005) Isogeometric Analysis : CAD, FInite Elements NURBS, Exact Geometry and Mesh Refinement, Computer Method in Applied Mechanics and Engineering, 194, pp.4135-4195.   DOI   ScienceOn
6 Piegl, L., Tiller, W. (1997) The NURBS Book (Monographs in Visual Communication), 2nd, Springer-Verlag, New York, p.646.
7 Timoshenko, Stehan P. Woinowsky-Kringer, S. (1961) Theory of Plates and Shells, Mcgraw-Hill Book Company, p.580.
8 신용재, 한순흥 (1998) STEP 방법론을 이용한 선박설계 모델의 공유, 대한조선학회 논문집, 35(4), pp.98-108.
9 김을년, 최익홍, 권진철, 백점기 (2010) 유공판의 좌굴 강도에 관한 연구, 대한조선학회 논문집, 47(2), pp.210-224.