Linear and geometric nonlinear spline finite element analysis for trimmed cad models and its extension to meshfree analyses트리밍 기법을 이용한 스플라인 유한요소기반 선형/기하비선형 해석 및 이의 무요소법으로의 확장에 관한 연구

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dc.contributor.advisorYoun, Sung-Kie-
dc.contributor.advisor윤성기-
dc.contributor.authorKim, Hyun-Jung-
dc.contributor.author김현중-
dc.date.accessioned2011-12-14T05:24:44Z-
dc.date.available2011-12-14T05:24:44Z-
dc.date.issued2010-
dc.identifier.urihttp://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=455297&flag=dissertation-
dc.identifier.urihttp://hdl.handle.net/10203/43435-
dc.description학위논문(박사) - 한국과학기술원 : 기계공학전공, 2010.08, [ xv, 170 p. ]-
dc.description.abstractTrimming technique is a powerful and efficacious way of endowing an arbitrary complex topology to CAD files created by using NURBS. In this work, spline FEM for trimmed CAD surfaces in linear and geometric nonlinear elasticity problem is presented. The main benefit of the proposed method is that no additional modeling for the analysis of the trimmed NURBS surfaces is necessary. As a pioneering attempt to deal with the trimmed surfaces in spline FEM, the information on the trimming curves and trimmed surfaces exported from CAD system is directly utilized for analysis. For this, a specific searching algorithm and an integration scheme of trimmed elements are introduced. For analyses, the construction of the stiffness matrix based on the spline basis function is presented. In the formulation, the information on the trimming curves is used not only for obtaining integration points but also for calculating the Jacobian. It is observed that the proposed method gives the theoretical convergence rate. Multiple-holes problems which are difficult to analyze with conventional spline FEM are easily treated with the proposed method. Moreover, if the domain boundaries are described by trimming curves only, with the extension of the classical concepts of trimming curves, it is supposed that the proposed method has a lot of advantages over conventional methods. First, any problems of arbitrary complex topology can be handled. The flexibility for describing complex domain is significantly improved, because the complicated boundaries are easily represented by NURBS curves. Circular or any degrees of polygonal shapes are manageable. It is shown that any complex multiply-connected NURBS domain can be described by using trimming curves only. Schemes for imposing essential and traction boundary conditions on trimming curves are presented. It has been demonstrated that with the presented schemes boundary conditions on trimming curves can be successfully treated. Second, when p...eng
dc.languageeng-
dc.publisher한국과학기술원-
dc.subjectMeshfree method-
dc.subjectTrimmed Surface-
dc.subjectSpline FEM-
dc.subjectNURBS-
dc.subjectGeometric Nonlinear Analysis-
dc.subject기하비선형 해석-
dc.subject무요소법-
dc.subject트림 곡면-
dc.subject스플라인 유한요소법-
dc.subjectNURBS-
dc.titleLinear and geometric nonlinear spline finite element analysis for trimmed cad models and its extension to meshfree analyses-
dc.title.alternative트리밍 기법을 이용한 스플라인 유한요소기반 선형/기하비선형 해석 및 이의 무요소법으로의 확장에 관한 연구-
dc.typeThesis(Ph.D)-
dc.identifier.CNRN455297/325007 -
dc.description.department한국과학기술원 : 기계공학전공, -
dc.identifier.uid020055047-
dc.contributor.localauthorYoun, Sung-Kie-
dc.contributor.localauthor윤성기-
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