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트러스 구조물의 최소중량설계를 위한 양자기반 화음탐색 알고리즘의 개발
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.10
With the development of quantum computer, the quantum-inspired search method applying the features of quantum mechanics, i.e. indetermination, superposition, entanglement, etc, and its application to engineering-problems have emerged as one of the most interesting research topics. Unlike the study of the quantum computer, the quantum-inspired search algorithms have been developed based on the application of the existed meta-heuristic algorithm and the information superimposed quantum-bit approached via through quantum gate. In this process, it appears that the balance between the two features of exploration and exploitation, and continually accumulates evolutionary information. Thus, this study is to propose a quantum-inspired harmony search algorithm and to solve the structural optimization problem by the algorithm. For the optimization, we suggest the mathematical modeling of the truss which is possible to minimum weight design. In its model, the cost function is minimum weight and constraint function consists of the stress. To trace the accumulative and convergence process of evolutionary information, 3-bar and 10-bar truss are chosen as the numerical examples, and their results are analyzed. The optimized design result in the numerical examples shows it has better result in minimum weight design, compared to those of the other search methods. It is also observed that more accurate optional values can be acquired as the result by accumulating evolutionary information.
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.
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.
다분할 테일러급수 해법을 이용한 비대칭 모드를 갖는 아치구조물의 비선형 동적 응답
손수덕(Shon, Su-Deok),하준홍(Ha, Jun-Hong),이승재(Lee, Seung-Jae) 대한건축학회 2012 大韓建築學會論文集 : 構造系 Vol.28 No.11
This study aims at obtaining an analytical solution of nonlinear dynamic system by using multi-interval Taylor series method, and adopting a arch model to its application. For this purpose, the nonlinear governing equations of the arch are formulated and the examples of symmetric and asymmetric modes are dealt with to obtain the analytical solution within each interval. The results of dynamic analysis using this method is also conducted to evaluate the computed solution for the behavior of the arches subjected to step excitations. As the results, the polynomial series solutions with respect to time are able to be obtained from this method. In this paper, the dynamic snapping of the shallow arches is observed very well from the result of the symmetric mode example, and a change of attractor in phase space is investigated as well. A significant growth of displacement response and the appearance of strange attractor are also manifested in the asymmetric mode model under step excitation. These results from the response and the attractor investigation through Taylor method application reveal that the method is valid in explaining the sensitive behavior of shallow arches. In conclusion, The multi-interval Taylor series method as the result of this work can be applied to deal with the nonlinear differential equations for the sensitive dynamic system like arch structures and the reliability of the analysis results is able to expected.