• Journal of the Computational Structural Engineering Institute of Korea
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• v.12 no.3
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• pp.457-464
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• 1999

The object of this study is form finding, stress-strain analysis and cutting pattern analysis of membrane structures under the following assumptions : (1) material is linearly elastic (2) stress state is plane stress. The cable and membrane structures undergo large deformation because of its highly flexibility, therefore, we must take account of its geometric nonlinearity. The analysis procedure is consisted of three steps considering geometric nonlinearity unlike any other structures. First step is the form finding analysis to determine the initial equilibrium shape. Second step is the stress-strain analysis to investigate the behaviors of structures under various external loads. Once a stationary shape has been fount a cutting pattern based on the form finding analysis may be generated for manufacturing procedure. In this paper, form finding, stress-strain analysis and cutting pattern analysis is carried out for applying to Seoguipo worldcup soccer stadium roof structures and optimal cutting pattern analysis technique is proposed.

• Journal of Korean Association for Spatial Structures
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• v.7 no.3 s.25
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• pp.153-165
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• 2007

Flexible structure uses a material with strong axial stiffness and small bending stiffness as its major structural material so it is very sensitive to initial stiffness. Therefore, the self-formation process which accomplishes a form in the natural world is grasped and it is as well investigated and classified the type of modeling techniques which are available to find the shapes of soft structures. Accordingly, for analysis and design of flexible structure, three-step analysis such as shape analysis, stress-deformation analysis, cutting pattern generation and constructional analysis is required unlike the existing stiff structure. In this study, suggest that minimize the error of side curvatures by the triangle Re-mesh pattern and draw the cutting pattern generation.

• Journal of Korean Society of Steel Construction
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• v.22 no.1
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• pp.33-42
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• 2010

Patterning with a geodesic line is essential for economical or efficient usage of membrane materialsin fabric tension membrane structural engineering and analysis. The numerical algorithm to determine the geodesic line for membrane structures is generally classified into two. The first algorithm finds a non-linear shape using a fictitious geodesic element with an initial pre-stress, and the other algorithm is the geodesic line cutting or searching algorithm for arbitrarily curved 3D surface shapes. These two algorithms are still being used only for the three-node plane stress membrane element, and not for the four-node element. The lack of a numerical algorithm for geodesic lines with four-node membrane elements is the main reason for the infrequent use of the four-node membrane element in membrane structural engineering and design. In this paper, a modified numerical algorithm is proposed for the generation of a geodesic line that can be applied to three- or four-node elements at the same time. The explicit non-linear static Dynamic Relaxation Method (DRM) was applied to the non-linear geodesic shape-finding analysis by introducing the fictitiously tensioned 'strings' along the desired seams with the three- or four-node membrane element. The proposed algorithm was used for the numerical example for the non-linear geodesic shape-finding and patterning analysis to demonstrate the accuracy and efficiency, and thus, the potential, of the algorithm. The proposed geodesic shape-finding algorithm may improve the applicability of the four-node membrane element for membrane structural engineering and design analysis simultaneously in terms of the shape-finding analysis, the stress analysis, and the patterning analysis.

• Journal of Korean Association for Spatial Structures
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• v.6 no.1 s.19
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• pp.117-127
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• 2006

Membrane structures, a kind of lightweight soft structural system, are used for spatial structures. The design procedure of membrane structures are needed to do shape finding, stress-deformation analysis and cutting pattern generation, because the material property has strong axial stiffness, but little bending stiffness. The problem of cooing pattern is highly varied in their size, curvature and material stiffness. So, the approximation inherent in cutting pattern generation methods is quite different. Therefore the ordinary computer software of structural analysis & design is not suitable for membrane structures. In this study, we develop the program for cooing pattern generation using geodesic line, and investigate the result of example's cooing pattern in detail.

• Journal of Korean Association for Spatial Structures
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• v.12 no.1
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• pp.109-119
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• 2012

For membrane structure, there are three main steps in design and construction, which are form finding, statistical load analysis, and cutting patterning. Unlike the first two stages, the step of cutting pattern involves the translation of a double-curved surface in 3D space into a 2D plane with minimal error. For economic reasons, the seam lines of generated cutting patterns rely greatly on the geodesic line. Generally, as searching regions of the seam line are plane elements in the step of shape analysis, the seam line is not a smooth curve, but an irregularly divided straight line. So, it is how we make an irregularly divided straight line a smooth curve that defines the quality of the pattern. Accordingly, in this paper, we analyzed interpolation schemes using spline, and apply these methods to cutting pattern generation on the curved surface. To generate the pattern, three types of spline functions were used, i.e., cubic spline function, B-spline, and least-square spline approximation, and simple model and the catenary-shaped membrane was adopted to examine the result of generation. The result of comparing the approximation curves by the number of elements and the number of extracted nodes of simple model revealed that the seam line for less number of extracted nodes with large number of elements were more efficient, and the least-square spline approximation provided smoother seam line than other methods.

• Computational Structural Engineering
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• v.4 no.3
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• pp.23-26
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• 1991

본 고에서는 막구조의 설계, 시공, 유지관리에 대해 개략적으로 기술하였다. 막구조는 그 여러가지 특성이 아직 규명이 안된 부분이 많고 시공오차가 비교적 큰 편이므로 막 재료의 역학적, 재료적 특성에 대한 연구와 형상해석 모델의 공식화, 막재단의 컴퓨터화가 필요하며 초기장력 도입에 따른 시공과정의 해석이 더욱 필요하다. 따라서 설계, 형상해석, 재단에서 시공 및 유지관리에 이르는 일괄적인 System의 개발이 시급하다 하겠다.

• Computational Structural Engineering
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• v.4 no.1
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• pp.32-35
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• 1991

본 고에서는 막구조 해석.설계시의 주요 내용을 각 해석단계별로 간략히 소개하였다. 막구조는 막이론 자신이 가진 근사성, 요소의 탄성 특성의 근사, 막면 요소로 곡면을 나타내는 기하학적 근사 등으로 구조물의 형태, 막재료의 동특성에 따라 해석시 오차가 발생하게 되며, 또한 구조설계 단계에서 막 판넬 제작 및 시공에 대한 고려가 되지 않으면 그 오차는 더욱 크게 된다. 따라서 향후, 보다 정확한 막구조의 설계를 위해서는 섬유직포에 코팅한 막재의 역학적 특성을 보다 잘 표현할 수 있는 막재모델의 정식화, 막재단도 해석시 무장력 상태의 설계곡면을 구하는 방법, 막판넬을 접합하고, 장력을 도입하는 시공과정을 고려한 실초기 평형상태 및 시공과정 해석법에 대한 연구가 계속 되어야 한다. 또한 초기형상 해석에서 시공과정 해석까지 전 설계과정을 공통 Data Base에서 일관 작업이 가능하도록 막구조통합 설계 System의 개발이 필요하다.

• Journal of Korean Association for Spatial Structures
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• v.1 no.1 s.1
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• pp.43-50
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• 2001

• Transactions of the Korean Society of Mechanical Engineers A
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• v.37 no.5
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• pp.641-648
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• 2013

A beam is a major load-carrying member in many engineering structures. Beams with properly designed cross sections and stiffeners are required to enhance the structural properties. Such a design may cause various coupling behaviors, and therefore, an accurate analysis is essential for the proper design of beams. In this research, we manufactured box-beams with stiffeners, which mimic the out-of-plane composite bending-shear coupling behavior reported in literature. A modal test is carried out to obtain the dynamic characteristics, such as natural frequencies and mode shapes, of the box-beam. The obtained results are compared with those of 3D FEM, which confirm that the out-of-plane bending-shear coupling behavior reported in literature is possible. The coupling behavior can be controlled by the proper design of the stiffeners.

• Proceedings of the Korean Institute of Landscape Architecture Conference
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• 2019.03a
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• pp.63-64
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• 2019