• 제목/요약/키워드: SQP(sequential quadratic programming)

검색결과 110건 처리시간 0.03초

Optimal dimension design of a hatch cover for lightening a bulk carrier

  • Um, Tae-Sub;Roh, Myung-Il
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권2호
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    • pp.270-287
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    • 2015
  • According to the increase of the operating cost and material cost of a ship due to the change of international oil price, a demand for the lightening of the ship weight is being made from various parties such as shipping companies, ship owners, and shipyards. To satisfy such demand, many studies for a light ship are being made. As one of them, an optimal design method of an existing hull structure, that is, a method for lightening the ship weight based on the optimization technique was proposed in this study. For this, we selected a hatch cover of a bulk carrier as an optimization target and formulated an optimization problem in order to determine optimal principal dimensions of the hatch cover for lightening the bulk carrier. Some dimensions representing the shape of the hatch cover were selected as design variables and some design considerations related to the maximum stress, maximum deflection, and geometry of the hatch cover were selected as constraints. In addition, the minimization of the weight of the hatch cover was selected as an objective function. To solve this optimization problem, we developed an optimization program based on the Sequential Quadratic Programming (SQP) using C++ programming language. To evaluate the applicability of the developed program, it was applied to a problem for finding optimal principal dimensions of the hatch cover of a deadweight 180,000 ton bulk carrier. The result shows that the developed program can decrease the hatch cover's weight by about 8.5%. Thus, this study will be able to contribute to make energy saving and environment-friendly ship in shipyard.

LNG FPSO Topside의 액화 공정에 대한 이중 혼합 냉매 사이클의 최적 운전 조건 결정 (Determination of the Optimal Operating Condition of Dual Mixed Refrigerant Cycle of LNG FPSO Topside Liquefaction Process)

  • 이준채;차주환;노명일;황지현;이규열
    • 대한조선학회논문집
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    • 제49권1호
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    • pp.33-44
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    • 2012
  • In this study, the optimal operating conditions for the dual mixed refrigerant(DMR) cycle were determined by considering the power efficiency. The DMR cycle consists of compressors, heat exchangers, seawater coolers, valves, phase separators, tees, and common headers, and the operating conditions include the equipment's flow rate, pressure, temperature, and refrigerant composition per flow. First, a mathematical model of the DMR cycle was formulated in this study by referring to the results of a past study that formulated a mathematical model of the single mixed refrigerant(SMR) cycle, which consists of compressors, heat exchangers, seawater coolers, and valves, and by considering as well the tees, phase separators, and common headers. Finally, in this study, the optimal operating conditions from the formulated mathematical model was obtained using a hybrid optimization method that consists of the genetic algorithm(GA) and sequential quadratic programming(SQP). Moreover, the required power at the obtained conditions was decreased by 1.4% compared with the corresponding value from the past relevant study of Venkatarathnam.

최적화 기법을 이용한 LNG FPSO 액화 공정 장비의 다층 배치 (Multi-floor Layout for the Liquefaction Process Systems of LNG FPSO Using the Optimization Technique)

  • 구남국;이준채;노명일;황지현;이규열
    • 대한조선학회논문집
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    • 제49권1호
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    • pp.68-78
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    • 2012
  • A layout of an LNG FPSO should be elaborately determined as compared with that of an onshore plant because many topside process systems are installed on the limited area; the deck of the LNG FPSO. Especially, the layout should be made as multi-deck, not single-deck and have a minimum area. In this study, a multi-floor layout for the liquefaction process, the dual mixed refrigerant(DMR) cycle, of LNG FPSO was determined by using the optimization technique. For this, an optimization problem for the multi-floor layout was mathematically formulated. The problem consists of 589 design variables representing the positions of topside process systems, 125 equality constraints and 2,315 inequality constraints representing limitations on the layout of them, and an objective function representing the total layout cost. To solve the problem, a hybrid optimization method that consists of the genetic algorithm(GA) and sequential quadratic programming(SQP) was used in this study. As a result, we can obtain a multi-floor layout for the liquefaction process of the LNG FPSO which satisfies all constraints related to limitations on the layout.

드래그 감소를 위한 유체의 최적 엑티브 제어 및 최적화 알고리즘의 개발(2) - 개발된 기법의 검증 및 드래그 감소를 위한 유체의 최적 액티브 제어 (Optimal Active-Control & Development of Optimization Algorithm for Reduction of Drag in Flow Problems(2) - Verification of Developed Methodologies and Optimal Active-Control of Flow for Drag Reduction)

  • 박재형
    • 한국전산구조공학회논문집
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    • 제20권5호
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    • pp.671-680
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    • 2007
  • 본 연구의 최종 목적은 유체가 빠른 속도로 가해지는 물체의 경계면에서 흡입(suction) 혹은 방출(injection)을 통해 유체를 제어함으로 드래그(drag)를 감소하고자 하는 것이다. 그러나 유체는 대용량, 비선형성을 가지고 있어서 직접적인 해석은 물론, 최적화를 적용한다는 것은 매우 어려운 일이다. 이를 위해 우리는 새로운 알고리즘과 기법들을 개발하였다. 본 연구에서는 이 기법들에 대한 검증을 하고, 나아가 최적화 기법을 사용하여 드래그를 감소하기 위해 흡입량과 방출량을 구하였다. 그리고 이 흡입과 방출을 가할 수 있는 구멍의 수와 위치에 따른 변화를 알아보았다. 본 연구에서 개발된 알고리즘과 기법들을 사용하였을 경우, 기존에는 해결 할 수도 없었던 문제를 가능하게 만들었으며, 기존에 저자가 1차로 개발한 바 있는 방법에 비해서도 더욱 효과적이라는 것을 입증하였다. 그리고 드래그 감소라는 차원에서 본다면 흡입과 방출을 가할 수 있는 구멍의 숫자가 많을수록 효과가 높으나 그다지 많은 수를 필요로 하지 않는다는 것을 알게 되었으며, 구멍의 위치는 유체의 경계층이 분리되는 약간 아래가 가장 최적의 위치라는 것을 알게 되었다.

적용환경을 고려한 Flextensional 변환기의 최적구조 설계 (Optimal Structural Design of a Flextensional Transducer Considering the Working Environment)

  • 강국진;노용래
    • 한국전기전자재료학회논문지
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    • 제21권12호
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    • pp.1063-1070
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    • 2008
  • The performance of an acoustic transducer is determined by the effects of many design variables, and mostly the influences of these design variables are not linearly independent of each other. To achieve the optimal performance of an acoustic transducer, we must consider the cross-coupled effects of the design variables. In this study, the variation of the performances of underwater acoustic transducer in relation to its structural variables was analyzed. In addition, the new optimal design scheme of an acoustic transducer that could reflect not only individual but also all the cross-coupled effects of multiple structural variables, and could determine the detailed geometry of the transducer with great efficiency and rapidity was developed. The validation of the new optimal design scheme was verified by applying the optimal structure design of a flextensional transducer which are the most common use for high power underwater acoustic transducer. With the finite element analysis(FEA), we analyzed the variation of the resonance frequency, sound pressure, and working depth of a flextensional transducer in relation to its design variables. Through statistical multiple regression analysis of the results, we derived functional forms of the resonance frequency, sound pressure, and working depth in terms of the design variables. By applying the constrained optimization technique, Sequential Quadratic Programming Method of Phenichny and Danilin(SQP-PD), to the derived function, we designed and verified the optimal structure of the Class IV flextensional transducer that could provide the highest sound pressure level and highest working depth at a given operation frequency of 1 kHz.

복합재 연소관의 금속 보스 형상 최적설계 (Shape Optimization of the Metal Boss for a Composite Motor Case)

  • 정승민;김형근;황태경
    • 한국추진공학회지
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    • 제20권6호
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    • pp.29-37
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    • 2016
  • 본 논문에서는 유한요소해석을 이용하여 복합재 연소관의 금속 보스에 대한 형상 최적설계기법을 제안하였다. 복합재 연소관의 구조 안전성을 위해 연소관 내압에 의한 돔 부위의 섬유응력과 보스 체결 볼트의 응력을 제한하였고, 경량화를 위해 보스의 무게를 목적함수로 설정하였다. 또한 반응표면법을 이용하여 특성치에 대한 반응표면모델을 구축하였다. 그리고 분산분석을 이용해 각 특성치에 대한 설계변수의 유의성을 평가하고 회귀분석을 통해 구축된 모델의 적합성을 검증하였다. 최적화를 위해 순차이차계획법 알고리즘을 이용하였고, 도출된 최적형상에 대한 구조해석을 수행함으로써 제안한 기법의 효용성을 검증하였다.

Optimum design of lead-rubber bearing system with uncertainty parameters

  • Fan, Jian;Long, Xiaohong;Zhang, Yanping
    • Structural Engineering and Mechanics
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    • 제56권6호
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    • pp.959-982
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    • 2015
  • In this study, a non-stationary random earthquake Clough-Penzien model is used to describe earthquake ground motion. Using stochastic direct integration in combination with an equivalent linear method, a solution is established to describe the non-stationary response of lead-rubber bearing (LRB) system to a stochastic earthquake. Two parameters are used to develop an optimization method for bearing design: the post-yielding stiffness and the normalized yield strength of the isolation bearing. Using the minimization of the maximum energy response level of the upper structure subjected to an earthquake as an objective function, and with the constraints that the bearing failure probability is no more than 5% and the second shape factor of the bearing is less than 5, a calculation method for the two optimal design parameters is presented. In this optimization process, the radial basis function (RBF) response surface was applied, instead of the implicit objective function and constraints, and a sequential quadratic programming (SQP) algorithm was used to solve the optimization problems. By considering the uncertainties of the structural parameters and seismic ground motion input parameters for the optimization of the bearing design, convex set models (such as the interval model and ellipsoidal model) are used to describe the uncertainty parameters. Subsequently, the optimal bearing design parameters were expanded at their median values into first-order Taylor series expansions, and then, the Lagrange multipliers method was used to determine the upper and lower boundaries of the parameters. Moreover, using a calculation example, the impacts of site soil parameters, such as input peak ground acceleration, bearing diameter and rubber shore hardness on the optimization parameters, are investigated.

LNG-FPSO에의 적용을 위한 Hamworthy Mark I Cycle의 최적 운전 조건 결정 (Determination of the Optimal Operating Condition of the Hamworthy Mark I Cycle for LNG-FPSO)

  • 차주환;이준채;노명일;이규열
    • 대한조선학회논문집
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    • 제47권5호
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    • pp.733-742
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    • 2010
  • In this study, optimization was performed to improve the conventional liquefaction process of offshore plants, such as a LNG-FPSO(Liquefied Natural Gas-Floating, Production, Storage, and Offloading unit) by maximizing the energy efficiency of the process. The major equipments of the liquefaction process are compressors, expanders, and heat exchangers. These are connected by stream which has some thermodynamic properties, such as the temperature, pressure, enthalpy or specific volume, and entropy. For this, a process design problem for the liquefaction process of offshore plants was mathematically formulated as an optimization problem. The minimization of the total energy requirement of the liquefaction process was used as an objective function. Governing equations and other equations derived from thermodynamic laws acted as constraints. To solve this problem, the sequential quadratic programming(SQP) method was used. To evaluate the proposed method in this study, it was applied to the natural gas liquefaction process of the LNG-FPSO. The result showed that the proposed method could present the improved liquefaction process minimizing the total energy requirement as compared to conventional process.

2층도로용 강구조 덱 시스템의 최적설계 (Optimum Design of Steel-Deck System for Two-Story Roads)

  • 조효남;민대홍;김현우
    • 한국강구조학회 논문집
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    • 제10권3호통권36호
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    • pp.553-564
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    • 1998
  • 최근도심지의 극심한 교통체증의 해소를 위한 방안으로 2층도로 강구조 덱 시스템의 채택이 증가하고 있다. 그 주된 이유는 신속한 시공과 콘크리트덱에 비하여 자중의 감소효과가 크고 보다 큰 강도와 효율적인 가설이 가능하기 때문이다. 본 연구의 목적은 강구조 덱 시스템의 최적설계프로그램을 이용한 2층도로용 강구조 덱 시스템의 가장 합리적인 형식 결정에 관한 연구이다. 최적화의 목적함수는 최소 초기비용으로 정식화하였다. 설계 제약조건은 도로교시방서의 ASD설계기준에 맞추어 정식화하였으며 최적설계과정은 두 단계로 이루어져 있다. 첫 번째 단계는 박스 또는 플레이트주형에 대한 강구조 덱 시스템의 최적설계가 수행된다. 그리고 두 번째 단계에서 개단면 또는 폐단면리브를 갖는 강상판에 대하여 최적설계를 한다. 최적설계 프로그램의 구조해석은 주형에 대하여 격자해석 모델링을 이용하였고 강상판에 대해서는 Pelican-Esslinger법을 사용하였다. 최적화 기법은 SQP를 이용하였다. 적용 예의 각 형식별 강구조 덱 시스템의 최적설계 결과의 비교를 통하여 비용의 효율성을 검토하였고 폐단면리브를 가지는 직선 형상의 박스거더 형식이 가장 효율적이고 경제적으로 판단된다.

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나노 정밀도 스캐닝 용 공기베어링과 보이스 코일 모터의 초정밀 이중 스테이지 설계 및 제어 (Design and Control of Ultra-precision Dual Stage with Air bearings and Voice coil motor for nm scanning system)

  • 김기현;최영만;김정재;이문구;이석원;권대갑
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1883-1886
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    • 2005
  • In this paper, a decoupled dual servo (DDS) stage for ultra-precision scanning system with large working range is introduced. In general, dual servo systems consist of a fine stage for short range and a coarse stage for long range. The proposed DDS also consists of a $XY\theta$ fine stage for handling and carrying workpieces and one axis coarse stage. Its coarse stage consists of air bearing guide system and a coreless linear motor with force ripple. The fine has four voice coil motors(VCM) as its actuator. According to a VCM's nature, there are no mechanical connections between coils and magnetic circuits. Moreover, VCM doesn't have force ripples due to imperfections of commutation components of linear motor systems - currents and flux densities. However, due to the VCM's mechanical constraints the working range of the fine is about $25mm^2$. To break that hurdle, the coarse stage with linear motors is used to move the fine about 500mm. Because of the above reasons, the proposed DDS can achieve higher precision scanning than other stages with only one servo. With MATLAB's Sequential Quadratic Programming (SQP), the VCMs are optimally designed for the highest force under conditions and constraints such as thermal dissipations due to its coil, its size, and so on. And for their movements without any frictions, guide systems of the DDS are composed of air bearings. To get precisely their positions, a linear scale with 5nm resolution are used for the coarse stage's motion and three plane mirror laser interferometers with 5nm for the fine's $XY\theta$ motions. With them, on scanning the two stages have same trajectories. The control algorithm is named Parallel method. The embodied ultra-precision scanning system has sub 100nm following error and in-positioning stability.

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