• Journal of the Korean Statistical Society
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• 제35권1호
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• pp.25-36
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• 2006

Icosahedron and dodecahedron designs are experimental designs which can be used for response surface analysis for the case when three independent variables are involved. When we are interested in estimating the slope of a response surface, slope rot at ability is a desirable property. In this paper, we derive conditions for icosahedron and dodecahedron designs to have slope rotatability, and actually obtain some slope-rotatable icosahedron and dodecahedron designs. We also apply Park and Kim (1992)'s measure of slope rotatability to icosahedron and dodecahedron designs, and observe resultant facts.

• 한국공간구조학회논문집
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• 제15권2호
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• pp.51-59
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• 2015

In this study, a shape design and an analysis considering structural stability were investigated to develop an icosahedron-based hemispherical modular dome. To design this modular dome, a program that can perform icosahedron shape modeling, modularization of joint connection members, and the analysis of structural stability was developed. Furthermore, based on the adopted numerical model, the eigen buckling mode, unstable behavior characteristics according to load vector, and the critical buckling load of the modular dome under uniformly distributed load and concentrated load were analyzed, and the resistance capacities of the structure according to different load vectors were compared. The analysis results for the modular dome suggest that the developed program can perform joint modeling for shape design as well as modular member design, and adequately expressed the nonlinear behaviors of structured according to load conditions. The critical buckling load results also correctly reflected the characteristics of the load conditions. The uniformly distributed load was more advantageous to the structural stability than concentrated load.

• 한국공간구조학회논문집
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• 제16권1호
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• pp.53-64
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• 2016

Solar power is being spotlighted recently as a new energy source due to environmental problems and applications of solar power to curved structures are increasing. Solar panels installed on curved surfaces have different efficiencies depending on its position and the efficient positioning of solar panels plays a critical role in the design of solar power generation systems. In this study, the changing characteristics of solar irradiance were analyzed for hemispherical dome with a large curvature and the positioning of solar panels that can efficiently utilize solar energy was investigated. With an icosahedron-based hemispherical dome consisting of triangular elements as target model, a program for calculating solar irradiance using a normal vector of the solar module on each face was developed. Furthermore, the change of solar irradiance according to the sun's path was analyzed by time and season, and its effects on shades were also examined. From the analysis results, the effective positioning could be determined on the basis of the efficiency of the solar panels installed on the dome surfaces on solar irradiance.

• 한국공간구조학회논문집
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• 제8권4호
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• pp.47-55
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• 2008

이 논문은 지오데식 돔 구조물의 구조최적화에 대한 연구내용과 관련이론 그리고 수치해석결과를 기술하고 있다. 지오데식 돔의 공간 효율성을 알아보기 위해 돔의 기저인 정이십면체의 외피면적과 내부공간의 비율을 계산하고 건축구조물에서 나타나는 다른 입방체의 값과 정량적으로 비교하였다. 지오데식 돔을 형성하기 위한 절차를 세부적으로 정리하고 이를 프로그래밍하여 설계최적화프로그램 ISADO-OPT에 연동하였다. 본 연구에서는 반구 형태의 지오데식 돔이 집중하중에 효율적으로 저항할 수 있는 최적의 부재크기 패턴을 조사하기 위하여 수학적 프로그래밍 기법을 도입하였다. 이때 최소화해야하는 돔 전체 부재의 중량을 목적함수로 이용하고 하중이 가해지는 절점에서 발생하는 변위 값과 각 부재에서 발생하는 응력 값을 허용치 이하로 제한하는 제약조건으로 사용하였다. 목적함수와 주어진 제약조건을 만족하는 최적 설계변수값을 검색하기 위해 설계변수에 대한 목적함수의 민감도 값을 유한차분법을 이용하여 계산하였다. 본 연구에서 기술한 지오데식돔을 위한 설계최적화 기본이론을 바탕으로 도출한 최적 부재패턴은 향후 돔의 최적설계에 기본 벤치마크테스트결과로 유용하게 사용될 것으로 판단된다.