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풍하중을 받는 개방형 하이브리드 돔 구조시스템의 동적 거동 특성
한상을(Han Sang-Eul),고현석(Koh Hyun-Seok) 대한건축학회 2008 大韓建築學會論文集 : 構造系 Vol.24 No.8
Cable-domes are representative of Hybrid structures. For their material properties and pretensions, they can generate large deformation which shows geometrical non-linearity. Because Hybrid structures are flexible structures whose stiffness and self-weight are very small, when carry out dynamic analysis, wind load is more dominant than seismic load. Hybrid structures are composed of closed shape like Seoul Olympic Gymnasium and open(irregular) shape like Busan Asiad Main Stadium as cable-dome's shape. Thus, we analyze these behavior character of the open-shapes at this study, and the analysis method for solving nonlinear finite element equations is modified Newton-Raphson method. Furthermore, for dynamic analysis method is Stiffly Stable Method which is based on backward-difference. Then, we compare its convergence criteria with Newmark-β method, and we find out dynamic behavior characteristics when it comes to member force, when some cable members such as upper or lower diagonal cables and upper or lower inner ring cables are broken.
한상을,Han, Sang-Eul 한국전산구조공학회 1996 전산구조공학 Vol.9 No.3
본 논문의 목적은 단층래티스 돔의 안정해석 기법을 제안하고, 다양한 조건하에서 단층 래티스 돔이 갖는 좌굴특성을 규명하는데 있다. 기하학적 비선형 평형경로의 탐색 및 좌굴점 그리고 분기경로의 방향 등을 수직적으로 계산하기 위하여 호장법(Arc-Length Method)을 이용하였으며, 부재의 좌굴가능성을 판단하기 위하여 에너지밀도함수를 제안하였다. 강절점을 갖는 구조물의 거동 특성을 규명하기 위하여 3종류의 비선형 강성행렬을 유도하여 해석하였으며, semi-rigid절점을 갖는 구조물을 해석하기 위하여 스프링모델을 제안하고, 부재의 세장비, 반개각, 경계조건 및 다양한 하중조건을 파라메터로하여 좌굴특성을 규명하였다. The primary objective of this paper is to grasp many characteristics of buckling behavior of latticed spherical domes under various conditions. The Arc-Length Method proposed by E.Riks is used for the computation and evaluation of geometrically nonlinear fundamental equilibrium paths and bifurcation points. And the direction of the path after the bifurcation point is decided by means of Hosono's concept. Three different nonlinear stiffness matrices of the Slope-Deflection Method are derived for the system with rigid nodes and results of the numerical analysis are examined in regard to geometrical parameters such as slenderness ratio, half-open angle, boundary conditions, and various loading types. But in case of analytical model 2 (rigid node), the post-buckling path could not be surveyed because of Newton-Raphson iteration process being diversed on the critical point since many eigenvalues become zero simultaneously.
안정수렴법을 이용한 불규칙 형상 하이브리드 구조시스템의 기하학적 비선형 동적해석
한상을(Han Sang-Eul),고현석(Koh Hyun-Seok),최현식(Choi Hyun-Sik) 대한건축학회 2007 대한건축학회 학술발표대회 논문집 - 계획계/구조계 Vol.27 No.1
Cable-domes are representative of Hybrid structures. For their material properties and pretensions, they can generate large deformation which shows geometrical non-linearity. Because cable domes are flexible structures whose stiffness and self-weight are very small, when carry out dynamic analysis, wind loads is more dominant than seismic loads. Cable-domes are composed of Closed shape like Seoul Olympic Gymnasium and open(irregular) shape like Busan Asiad Main Stadium as cable-dome's shape. So, we analyzed these behavior character of two shapes at this study. And the analysis method for solving nonlinear finite element equations is modified Newton-Raphson method. And for dynamic analysis method is Stiffly Stable Method which is based on backward-difference. Then compare its convergence criteria with Newmark-beta method.
기하학적 비선형을 고려한 래티스돔 구조물의 동적 좌굴 해석
한상을(Han Sang-Eul),김만중(Kim Man-Joong),강노원(Kang Noh-Won) 대한건축학회 2009 大韓建築學會論文集 : 構造系 Vol.25 No.3
In this paper, the dynamic buckling criteria based on the stability of Lyapunov sense is introduced in order to analyze the dynamic buckling of latticed dome structures. As analytic models, we consider shell-like shallow truss models such as star-shape dome, span 50m latticed dome. We perform a nonlinear time history analysis and apply the dynamic buckling criteria which is introduced in this paper. Dynamic buckling loads are numerically estimated under up and down conservative forces, which are step, harmonic and seismic excitations, and compared with the static critical loads.
풍하중을 받는 평면 막구조물의 동적불안정 판정에 관한 연구
한상을,후효무,Han, Sung-Eul,Hou, Xiao-Wu 한국전산구조공학회 2009 한국전산구조공학회논문집 Vol.22 No.2
본 논문에서는 풍하중을 받는 평면 막구조물의 동적불안정 판정을 규명하였다. 풍하중을 받는 막구조물의 지배방정식을 정식화할 경우 가장 중요한 것은 막 표면의 공기 압력을 합리적으로 산정하는 것이다. 베르누이 윈리에 의하여 유체 압력은 속도 퍼텐셜과 관계를 가지며 않은 날개 원리에 의해 막 표면 공기의 움직임을 일련의 와류로 간주하고 속도 퍼텐셜을 구할 수 있다. 이 논문에서는 가장 많이 쓰이는 3 절점 삼각형 막요소를 이용하여 가중 잔여치 갤러킨법을 적용한 안정 평가의 판별식을 유도하였다. 수치해석 모델로는 정사각형과 직사각형의 막구조물을 채택하였고 임계 풍속에 대한 초기인장력과 풍방향의 영향을 분석하였다. In this paper, dynamic instability of plane membrane structures under wind action has been studied. The key to solving the governing equations of membrane structures under wind action is how to obtain the air pressure on membrane. Based on Bernoulli's theorem, fluid pressure has a certain relationship with velocity potential. Velocity potential could be solved according to thin aerofoil theory, where air around the membrane is regarded as a sheet of vortices. In this paper, we take advantage of the most commonly used three-node triangular membrane element and weighted residual-Galerkin method to obtain the determining equation for stability evaluation. Square and rectangular membrane structures are studied. The influence of initial prestressing force and wind direction towards critical wind velocity are also analyzed in this paper.
슈퍼요소를 이용한 대공간 구조시스템의 구조적 거동 특성에 관한 연구
한상을(Han Sang-Eul),박정원(Park Jeong-Won) 대한건축학회 2009 大韓建築學會論文集 : 構造系 Vol.25 No.2
Super elements methods for large structural systems have been reviewed. It is necessary to use subdivided finite elements for accurate analysis of the large structural systems. However it would take significant amount of computational time and memory if the entire spatial structure is subdivided into a finer mesh. Recently, the computing resources and technologies have been expanded so fast that the huge matrices involved in the analysis of structural system can be processed without serious difficulties. For, most users, however, the computer facilities are limited.