• 대한전기학회논문지:전력기술부문A
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• 제51권8호
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• pp.398-402
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• 2002

The ELD computation has been based upon the so-called B-coefficient which uses a quadratic approximation of system loss as a function of generation output. Direct derivation of system loss sensitivity based on the Jacobian-based method was developed in early 1970s', which could eliminate the dependence upon the approximate loss formula. However, both the B-coefficient and the Jacobian-based method require a complicated Procedure for calculating the system loss sensitivity included in the constraints of the optimization problem. In this paper, an ELD formulation in which only the bus power equations are defined as the constraints has been introduced. Derivation of the partial derivatives of the system loss with respect to the generator output and calculation of the penalty factors for individual generators are not required anymore in proposed method. A comprehensive solution procedure including calculation of the Jacobians and Hessians of the formulation has been presented in detail. Proposed ELD formulation has been tested on a sample system and the simulation indicated a satisfactory result.

• Steel and Composite Structures
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• 제45권4호
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• pp.579-590
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• 2022

One of the biggest problems in structural steel calculation is the design of structures using the lowest possible material weight, making this a slow and costly process. To achieve this objective, several optimization methods have been developed and tested. Nevertheless, a method that performs very efficiently when applied to different problems is not yet available. Based on this assumption, this work proposes a hybrid metaheuristic algorithm for geometric and dimensional optimization of space trusses, called Simulated Squirrel Search Algorithm, which consists of an association of the well-established neighborhood shifting algorithm (Simulated Annealing) with a recently developed promising population algorithm (Squirrel Search Algorithm, or SSA). In this study, two models are tried, being respectively, a classical model from the literature (25-bar space truss) and a roof system composed of space trusses. The structures are subjected to resistance and displacement constraints. A penalty function using Fuzzy Logic (FL) is investigated. Comparative analyses are performed between the Squirrel Search Algorithm (SSSA) and other optimization methods present in the literature. The results obtained indicate that the proposed method can be competitive with other heuristics.

• Journal of Theoretical and Applied Mechanics
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• 제1권1호
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• pp.97-109
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• 1995

In this paper, a finite viscoelastic continuum model for rubber and its finite element analysis are presented. This finite viscoelatic model based on continuum mechanics is an extended model of Johnson and Wuigley's 1-D model. In this extended model, continuum based kinematic measures are rigorously defied and by using this kinematic measures, elastic stage law and flow rule are introduced. In kinematics, three configuration are introduced. In kinematics, three configuration are introduced. They are reference, current and virtual visco configurations. In elastic state law, it is assumed that at a certain time, there exists an elastic potential which describes the recoverable elastic energy. From this elastic potential, elastic state law is derived. The proposed flow rule is based on phenomenological observation. The flow rule gives precise relaxation response. In finite element approximation, mixed Lagrangian description is used, where total and similar method of updated Lagrangian descriptions are used together. This approach reduces the numerical job and gives simple nonlinear syatem of equations. To satisfy the incompressible condition, penalty-type modified Mooney-Rivlin energy function is adopted. By this method nearly incompressible condition is obtain the virtual visco configuration. For verification, uniaxial stretch tests are simulated for various stretch rates. The simulated results show good agreement with experiments. As a practical experiments. As a preactical example, pressurized rubber plate is simulated. The result shows finite viscoelastic effects clearly.

• 한국항공우주학회지
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• 제36권1호
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• pp.22-30
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• 2008

본 논문은 헬리콥터 기동비행문제를 비선형 최적제어기법으로 정식화 하고 이를 indirect method를 적용하여 해석하는 기법에 대해 연구하였다. 주어진 기동비행 경로에 대한 오차를 벌칙함수 형태의 가격(비용, 목적)함수로 채택하고 이를 최소화하도록 정식화하면 기동비행은 구속조건이 없는 최적제어문제로 정식화 된다. 정식화 결과로 얻어지는 이점 경계값 문제는 Multiple Shooting Method (MSM)을 적용하여 해석하였다. 본 논문은 shooting node의 수와 상태변수의 초기화 방법 등이 수치해법에 주는 영향을 분석하여 수렴성 확보에 필요한 조건을 식별하고 수렴반경을 증가시킬 수 있는 방안에 초점을 두었다. 연구결과는 헬리콥터와 같이 불안정한 시스템의 최적제어 문제에 indirect method를 적용하는 경우 수치해법의 안정성과 수렴성을 확보할 수 있는 방법을 제시한다.

• 대한조선학회논문집
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• 제29권2호
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• pp.115-122
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• 1992

Sandwich구조는 복합구조의 특별한 hybrid구조의 형태로써 두 층의 얇은 표면재와 가운데 두꺼운 층인 경량의 심재로 구성되어 있으며, 이는 표면재와 심재가 접착된 일체로써 서로의 단점을 보완하면서 구조 효율을 높인 형상이다. 또한 심재는 표면재에 비해서 상당히 두꺼운 두께를 갖기 때문에 전단 변형이 중요하므로 굽힘 강성도(bending stiffness) 계산에 전단효과가 고려되어야 한다. 구조 설계에서 중요한 목적은 중량 감소에 있기 때문에 본 논문에서는 sandwich panel의 설계시 표면재와 심재의 두께 및 재질을 변화시켜 제한조건에 맞는 최소 중량을 얻는 데 중점을 두었다. 본 해석에서 sandwich panel의 최소중량을 얻기 위하여 표면재와 전단력을 고려한 심재의 변형에 따른 변형에너지를 각각 계산한 후, 최소 potential 에너지 원리를 적용하여 목적함수의 최적치를 구하였다. 설계 제한조건으로는 허용 처짐, 허용 굽힘응력, 허용 전단응력과 국부적인 불안정 상태의 wrinkling 응력이 고려되었으며, 설계 모델은 수직 분포 하중에 의한 여러가지 경계조건에 따른 sandwich panel을 대상으로 하였다. 비선형 최적화 기법은 Nelder and Mead Simplex Search Method와 Hooke and Jeeves Pattern Search method에 External Penalty Function이 적용된 SUMT방법을 결합시킨 SUMTNM와 SUMTHJ를 사용하였으며, 해석 결과는 sandwich panel의 구조 설계에 활용할 수 있도록 표를 작성하였다.

• 대한토목학회논문집
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• 제33권2호
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• pp.409-422
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• 2013

부재간의 연결조건에 따른 다양하고 복잡한 강구조물의 P-${\Delta}$ 해석 및 좌굴 거동특성을 파악하기 위하여, 본 연구에서는 부재의 연결이 회전 및 이동스프링으로 구성된 부분강절(semi-rigid) 뼈대요소의 일반화된 접선강도 행렬을 유도하였고 이로부터 다시 Taylor 전개를 적용하여 탄성강도 행렬과 기하학적 강도행렬을 일반화된 형태로 제시하였다. 이를 위하여, 보-기둥부재의 좌굴조건을 만족시키는 처짐함수로부터 안정함수(stability function)를 유도하였고, 횡변위(sway)를 고려한 힘-변위관계와 적합조건을 고려하여 엄밀한 부분강절 뼈대요소의 접선강도행렬을 제시하였다. 다양한 수치해석 예제에 대해 타 연구자의 해석 결과 및 본 연구의 선형 및 비선형 해석이론을 통한 좌굴해석 결과를 비교하여 본 연구의 타당성과 부분강절 뼈대구조물의 좌굴거동 특성을 제시하였다.

• 한국산학기술학회논문지
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• 제16권7호
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• pp.4999-5008
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• 2015

제약조건이 있는 공학 최적화 문제에서 보다 좋은 결과를 얻기 위해서는 효율적인 제약조건 처리기법의 적용은 필수적이다. 본 연구에서는 네 가지의 제약조건 처리기법을 적용하여 메타휴리스틱 최적화 기법으로 널리 사용되고 있는 Harmony Search 알고리즘의 최적화 효율성을 평가하였다. 평가를 위해 대표적인 이산형 최적화 문제 중 하나인 상수관로 최소비용설계 문제를 적용하였다. 적용결과 전통적인 제약조건 처리방법으로 사용되던 벌칙함수에 비해 제안된 제약조건 처리기법의 결과가 효율적임을 확인하였다. 특히, ${\varepsilon}$-Constrained Method의 경우 기존방법에 비하여 효율적이고 안정적인 결과를 도출하였다. 제안된 방법은 새로운 최적화 알고리즘의 개발 필요 없이 HS의 성능을 증가시킬 수 있다는 점에서 의의가 있다고 판단된다. 또한 400개 이상의 결정변수를 가지는 대규모 문제의 적용을 통하여, 제안된 방법이 대규모 공학 최적화 문제에서도 활용이 가능함을 확인하였다.

• Structural Engineering and Mechanics
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• 제75권4호
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• pp.477-485
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• 2020

Finite element (FE) model based structural damage detection (SDD) methods play vital roles in effectively locating and quantifying structural damages. Among these methods, structural model updating should be conducted before SDD to obtain benchmark models of real structures. However, the characteristics of updating parameters are not reasonably considered in existing studies. Inspired by the l_∞ norm regularization, a novel anti-sparse representation method is proposed for structural model updating in this study. Based on sensitivity analysis, both frequencies and mode shapes are used to define an objective function at first. Then, by adding l_∞ norm penalty, an optimization problem is established for structural model updating. As a result, the optimization problem can be solved by the fast iterative shrinkage thresholding algorithm (FISTA). Moreover, comparative studies with classical regularization strategy, i.e. the l₂ norm regularization method, are conducted as well. To intuitively illustrate the effectiveness of the proposed method, a 2-DOF spring-mass model is taken as an example in numerical simulations. The updating results show that the proposed method has a good robustness to measurement noises. Finally, to further verify the applicability of the proposed method, a six-storey aluminum alloy frame is designed and fabricated in laboratory. The added mass on each storey is taken as updating parameter. The updating results provide a good agreement with the true values, which indicates that the proposed method can effectively update the model parameters with a high accuracy.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제14권2호
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• pp.514-537
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• 2020

Wireless sensor network (WSN) is a distributed network composed of many sensory nodes. It is precisely due to the clustering unevenness and cluster head election randomness that the energy consumption of WSN is excessive. Therefore, a many-objective optimization WSN energy balance model is proposed for the first time in the clustering stage of LEACH protocol. The four objective is considered that the cluster distance, the sink node distance, the overall energy consumption of the network and the network energy consumption balance to select the cluster head, which to better balance the energy consumption of the WSN network and extend the network lifetime. A many-objective optimization algorithm to optimize the model (LEACH-ABF) is designed, which combines adaptive balanced function strategy with penalty-based boundary selection intersection strategy to optimize the clustering method of LEACH. The experimental results show that LEACH-ABF can balance network energy consumption effectively and extend the network lifetime when compared with other algorithms.

• 한국정밀공학회지
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• 제22권3호
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• pp.146-153
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• 2005

In this paper, a multi-step optimization using genetic algorithm with variable penalty function is introduced to the structural design optimization of a grinding machine. The design problem, in this study, is to find out the optimum configuration and dimensions of structural members which minimize the static compliance, the dynamic compliance, and the weight of the machine structure simultaneously under several design constraints such as dimensional constraints, maximum deflection limit, safety criterion, and maximum vibration amplitude limit. The first step is shape optimization, in which the best structural configuration is found by getting rid of structural members that have no contributions to the design objectives from the given initial design configuration. The second and third steps are sizing optimization. The second design step gives a set of good design solutions having higher fitness for lightweight and minimum static compliance. Finally the best solution, which has minimum dynamic compliance and weight, is extracted from the good solution set. The proposed design optimization method was successfully applied to the structural design optimization of a grinding machine. After optimization, both static and dynamic compliances are reduced more than 58.4% compared with the initial design, which was designed empirically by experienced engineers. Moreover the weight of the optimized structure are also slightly reduced than before.