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      • KCI등재
      • KCI등재

        구조물의 최대강성 치수최적설계

        신수미(Soo-Mi Shin),박현정(Hyun-Jung Park) 한국컴퓨터정보학회 2009 韓國컴퓨터情報學會論文誌 Vol.14 No.1

        본 연구는 주어진 부피제약조건 하에서 최대강성을 구현하는 고층 철골 트러스 시스템의 단면치수 재조정 프로세스를 보여준다. 이러한 치수최적설계는 경사도법에 근거한 최적정 방법에 의해 수치적으로 연산된다. 전형적인 치수최적설계에서는 변위나 응력제약조건 하에서 구조물의 최소중량을 구현하지만, 본 연구에서 소개되는 치수최적설계는 이것과 반대의 프로세스를 가진다. 즉, 부피와 같은 재료제약조건 하에서 최대강성을 구현한다. 본 연구는 기존의 치수최적설계방법의 대안으로서 그 의미를 가질 수 있다. 고층 철골트러스 구조시스템의 수치 예제를 통하여 부재 단면치수 재조정 설계가 기존의 최소중량설계와 반대인 최대강성 이산화 치수최적설계를 통하여 적합하게 수행됨이 증명되었다. This study presents a structural design optimizing sizes of high-rise steel plane truss members by maximizing stiffness subjected to given volume constraints. The sizing optimum design is evaluated by using a well-known optimality criteria (OC) of gradient-based optimization methods. In typical size optimization methods, truss structures are optimized with respect to minimum weight with constraints on the value of some displacement and on the member stresses. The proposed method is an inversed size optimization process in comparisons with the typical size optimization methods since it maximizes stiffness associated with stresses or displacements subjected to volume constraints related to weight. The inversed approach is another alternative to classical size optimization methods in order to optimize members' sizes in truss structures. Numerical applications of a round shape steel pipe truss structure are studied to verify that the proposed maximum stiffness-based size optimization design is suitable for optimally developing truss members's sizes.

      • 고층 트러스 구조물의 최대강성 치수최적설계

        신수미(Shin Soo-Mi),오주연(Oh Joo-Yeon),박성수(Park Sung-Soo),이동규(Lee Dong-Kyu) 대한건축학회 2007 대한건축학회 학술발표대회 논문집 - 계획계/구조계 Vol.27 No.1

        This study presents a structural design optimizing sizes of high-rise steel plane truss members by maximizing stiffness subjected to given volume constraints. The sizing optimum design is evaluated by using a well-known optimality criteria (OC) of gradient-based optimization methods. In typical size optimization methods, truss structures are optimized with respect to minimum weight with constraints on the value of some displacement and on the member stresses. The present method is an inversed size optimization in comparisons with the typical size optimization methods since it maximizes stiffness associated with stresses or displacements subjected to volume constraints related to weight. The inversed approach is another alternative to classical size optimization methods in order to optimize members' sizes in truss structures. Numerical applications of a round shape steel pipe truss structure are studied to verify that the proposed maximum stiffness-based size optimization design is suitable for optimally developing truss members's sizes.

      • KCI등재

        불확실성을 고려한 접합부의 최적설계에 관한 연구

        신수미(Soo-Mi Shin),윤혁기(Hyug-Gee Yun),김혜민(Hye-Min Kim) 한국산학기술학회 2016 한국산학기술학회논문지 Vol.17 No.6

        일반적으로 구조물에는 하중, 재료상수, 부재크기와 구조해석 등의 오차에 대한 불확실성을 존재하고 이러한 불확실 성은 구조물의 최적설계에 많은 영향을 준다. 확률론적 해석은 급속하게 발전하고 있고 여러 불확실성을 고려해야 하는 구조 설계에서 중요한 기법으로 사용되고 있다. 본 논문에서는 구조물에서 발생하는 불확실성을 고려하기 위하여 신뢰성 해석을 통하여 신뢰도 지수를 산출하였으며 이 값을 최적설계의 제약조건으로 설정하여 확률론적 최적설계를 수행하였다. 최적설계 결과 기존의 불확실량이 고려되지 않은 확정론적 최적설계의 결과 값보다 불확실량이 고려된 최적설계 결과값이 더 크게 나타났으나 불확실성을 고려하는 경우가 구조물의 안정성이 더 확보되는 것으로 생각된다. 본 논문에서는 최적화 기법 중 가장 강력하다고 알려진 SQP(순차이차계획법)을 이용하여 최적화를 수행하였는데 SQP법은 최적화 문제의 정식화를 반복계 산 하는 것에 바탕을 두고 각 반복계산에 있어서는 2차 프로그래밍 부속 문제의 해를 구하는데 그 기본을 두는 방법이다. 또 불확실량을 고려한 최적설계를 위해 신뢰성을 기초한 최적설계를 수행하여 신뢰도지수와 파괴확률을 계산하였다. 확정론 적 최적설계와 달리 치수, 모양, 재료와 작용하중들의 양에 신뢰성해석을 수행하여 나온 신뢰도지수와 파괴확률을 앞에서 계산한 최적화 과정의 제약조건식에 가적으로 설정하여 최적설계를 수행하였다.T-stub 접합부를 예제로 적용하였으며 해석 결과의 기존문헌과 비교하였다. Usually, there are many uncertainties regarding the error of an assumed load, material properties, member size, and structure analysis in a structure, and it may have a direct influence on the qualities of optimal design of structures. Probabilistic analysis has developed rapidly into a desirable process and structural reliability analysis is an increasingly important tool that assists engineers to consider uncertainties during the design, construction and life of a structure to calculate its probability of failure. This study deals with the applications of two optimization techniques to solve the reliability-based optimization problem of structures. The reliability-based optimization problem was formulated as a minimization of the structural volume subject to the constraints on the values of componential reliability index determined by the AFOSM approach. This presented method may be a useful tool for the reliability-based design optimization of structures.

      • KCI등재

        단순 증가하중을 받는 보-기둥 접합부의 신뢰성해석에 관한 연구

        신수미(Shin Su-Mi),김요숙(Kim Yo-Suk),박성수(Park Sung-Soo) 대한건축학회 2003 大韓建築學會論文集 : 構造系 Vol.19 No.7

        This paper measures characteristics of behavior and changes of mechanical properties, in case that loading conditions are pressed in connection of a beam-to-column, and according to the basics of theoretical consideration, this paper presents a limit state formular in connection parts. A new analytical technique, which can carry out a probabilistic reliability analysis of the connection parts in beam-columns, is presented by a devised limit-state formular of this paper, and the present method shows good agreement with Monte carlo method. Using a reliability index β and a probability of failure Pf , which are obtained by the proved program, this thesis shows relations between a curve of moment-rotatioal angle and a reliability index at each type of connection parts as 3-dimentional curves, and it follows as a consequence that this paper presents a margin of safety and a degree of reinforcement and describe mutual relations of each connection part.

      • KCI등재

        SQP법을 이용한 고층 강골조 구조물의 최적설계에 관한 연구

        신수미(Shin Su-Mi),박성수(Park Sung-Soo) 대한건축학회 2003 大韓建築學會論文集 : 構造系 Vol.19 No.5

        The objective of this paper is to present formulation solving structural optimization problems for all planar frameworks using SQP(Sequential Quadratic Programming) Method. Key aspects in the code development involved the treatment of lower and upper bounds on the variables and on the solution of the QP subproblems. The importance of cost scaling in conjunction with SQP methods is explained here for the first time. The SQP method has attractions: the starting point can be handled in addition to the inequalities, and the method can be proved to converge under certain assumptions. This paper presents SQP problems for optimal design of steel structural frameworks. The lateral drift is an important factor for the serviceability and may have a harmful influence on the safety in highrise buildings. Engineers would put limitations on the drift according to structural design codes or their experience. Because of the characteristics of the problem, they control it not quantitatively, by a trial-error approach. SQP is developed for discrete optimization of tall steel framework subject to lateral drift constraint. The objective function considered is total weight of the structure. Special features of proposed method include discrete design variables, the standard steel sections provided by AISC manual, and an open format for prescribing constraint.

      • KCI등재

        보-기둥 앵글 접합부의 수정된 AFOSM 해석에 관한 연구

        신수미(Shin Su-Mi),김요숙(Kim Yo-Suk),박성수(Park Sung-Soo) 대한건축학회 2003 大韓建築學會論文集 : 構造系 Vol.19 No.8

        Beam-to-column connections are involved in material and geometric uncertainties. In the deterministic structural analysis, it is difficult to estimate proper safety factor of structures because it could not consider theses uncertainties. Therefore, structural reliability analysis is more reasonable method because means and standard deviations of design parameters as these uncertainties are measured by introduction of safety factor of structures. In this study, three-parameter power model proposed by Richard is used for defining the moment-rotation relationship ofangle-type connections. For structural reliability analysis, probability distribution functions of three parameters treated as randomvariables are assumed to be normal distribution. Three parameters are ultimate moment Mu, initial rotational stiffness Rki andshape parameter n. The reliability indices and probabilities of failure at a certain M-θ point are calculated by AdvancedFirst-Order Second-Moment method. the accuracy of the present method is verified by Monte Carlo Simulation, which is one ofaccurate methods to obtain failure probability.

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