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차분진화알고리즘을 이용한 정현파형 주름웨브보의 최적설계프로그램 개발
손수덕(Shon, Su-Deok),유미나(Yoo, Mi-Na),이승재(Lee, Seung-Jae),강주원(Kang, Joo-Won) 대한건축학회 2013 大韓建築學會論文集 : 構造系 Vol.29 No.12
Corrugated steel plates offer several advantages that make them preferred materials for use in various structures including bridges and steel frames. Aside from aircraft design, the corrugated steel plate has also been applied to container, bridges, PEB system, etc. Corrugated steel plates have also been the subject of various research efforts. However, these studies focus on the strength of the beams and the buckling analysis of corrugated steel plates. Optimum design of corrugated web beam remains insufficient. Therefore, this study focuses on the structural design program of sinusoidal corrugated web steel beams using Differential Evolution algorithm. A simple beam model is selected as a numerical example to verify the program. The optimum program is compared with the program using Genetic Algorithm.
손수덕(Shon, Su-Deok),유미나(Yoo, Mi-Na),이승재(Lee, Seung-Jae) 대한건축학회 2012 大韓建築學會論文集 : 構造系 Vol.28 No.10
This paper investigates minimum weight structural design of sinusoidal corrugated web girder and characteristics of optimum cross-section in accordance with structural design codes. To do an optimum design, we consider objective function as minimum weight of the girder, use the constraint functions as slenderness ratio, stress and the girder deflection, and adopt the design variables concerning cross-section of the girder. We also choose EN 1993-1-5 and DASt-R015 to compare shear design codes of sinusoidal corrugated web. With this, we adopt a simply supported girder as mathematical model, and carry out genetic algorithm simulation to investigate the characteristics of minimum weight and cross-section of the girder. The result of the investigation shows that optimum cross-section area of EN 1993-1-5 is smaller than that of DASt-R015 and can be designed in more slenderness. A yield strength increase brings the decrease in the optimum cross-section area in the simple beams under concentrated load and uniform load. The minimum weight design of sinusoidal corrugated web shows a tendency to increase design variables with load increase. Besides, corrugated web thickness shows a tendency of stable increase regardless the yielding strength of corrugated web girder, and shows a similarity in the increase of optimal cross-section area.
멀티스테이지 호모토피 섭동법을 이용한 얕은 정현형 아치의 근사-해석적 해
손수덕(Shon, Su-Deok),이승재(Lee, Seung-Jae) 대한건축학회 2015 大韓建築學會論文集 : 構造系 Vol.31 No.4
The purpose of this study is to investigate the applicability of multistage homotopy perturbation method (MHPM) to shallow sinusoidal arches in order to obtain a semi-analytical solution. For this research purpose, a nonlinear governing equation of the arches was formulated and a homotopy equation was derived using the formulated differential equation. The result of a dynamic analysis on a symmetric mode and an asymmetric one was compared with the classical homotopy perturbation method and the 4<SUP>th</SUP> order Runge-Kutta method. From the comparison results, it was found that the dynamic response by MHPM concurred with the numerical results. Besides, the pattern of the response and the attractor by semi-analytical solution could delineate the dynamic snapping of the arches under excitations, and the attraction of the model in consideration of damping reflected the convergence and asymptotic stability well.
쉘형 얕은 트러스의 호모토피 섭동법을 이용한 해석적 해에 관한 연구
손수덕(Shon, Su-Deok),이승재(Lee, Seung-Jae) 대한건축학회 2015 大韓建築學會論文集 : 構造系 Vol.31 No.9
In this study, an analytical solution using the homotopy perturbation method of shell-like shallow trusses was investigated. The dynamic unstable phenomenon that appears in shallow space trusses is sensitive to initial conditions, and its characteristics are analyzed and its instability is examined by obtaining the exact solution or through numerical analysis. In this process, obtaining a more precise solution plays a very important role, and obtaining an analytical solution expressed in infinite terms is one way to get a more accurate result. A homotopy equation, in this study, was derived by formulating a governing equation for a shell-like shallow truss, and a semi-analytical solution was obtained by homotopy perturbation method. Besides, sensitive unstable phenomena were examined and their solutions were compared according to various dynamic behaviors and initial conditions, and the shapes of attractors in the phase space were observed. In conclusion, the analytical solution of the simple nonlinear model using the homotopy method proposed in this study was excellent when compared with the numerical analysis result, and reflected the nonlinear unstable phenomenon of the shell-like shallow truss which was the target model of analysis.