• 제목/요약/키워드: Sequential Quadratic Programming Method

검색결과 126건 처리시간 0.028초

관절계 역학적 특성의 정량적 평가방법 (A New Method for the Identification of Joint Mechanical Properties)

  • 엄광문;김석주;한태륜
    • 한국정밀공학회지
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    • 제21권11호
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    • pp.209-218
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    • 2004
  • The purpose of this paper is to suggest a practical and simple method for the identification of the joint mechanical properties and to apply it to human knee joints. The passive moment at a joint was modeled by three mechanical parts, that is, a gravity term, a linear damper term and a nonlinear spring term. Passive pendulum tests were performed in 5 fat and 5 thin men. The data of pendulum test were used to identify the mechanical properties of joints through sequential quadratic programming (SQP) with random initial values. The identification was successful where the normalized root-mean-squared (RMS) errors between the simulated and experimental joint angle trajectories were less than 10%. The parameter values of mechanical properties obtained in this study agreed with literature. The inertia, gravity and the damping constant were greater at fat men, which indicates more resistance to body movement and more energy consumption fer fat men. The suggested method is noninvasive and requires simple setup and short measurement time. It is expected to be useful in the evaluation of joint pathologies.

설계공간 타당성 향상을 통한 한국형 해상풍력터빈 블래이드 최적형상설계 연구 (Numerical Optimization of Offshore Wind Turbine Blade for Domestic Use using Improvement of the Design Space Feasibility)

  • 이기학;주완돈;홍상원;김규홍;이경태;이동호
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2006년도 춘계학술대회
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    • pp.281-286
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    • 2006
  • 본 연구의 목적은 차세대 대체에너지로 각광받는 풍력발전 중에서 육상발전보다 여러 가지 이점이 있는 한국형 해상풍력터빈 블레이드의 최적형상설계를 위한 알고리즘을 구현하는 것이다. 블레이드 단면 익형의 양력과 항력 분포는 XFOIL을 이용하여 예측하였다. 첫 번째 수준의 설계변수인 각각의 블레이드 지름과 축 회전수에서 익형의 공력변수들과 최소에너지손실 조건을 이용하여 두 번째 설계변수인 각 블레이드 단면에서의 시위길이와 피치각 분포를 최적화하였다. 그리고 성능결과를 바탕으로 반응면을 구성하고, 확률적 방법을 이용하여 타당성 있는 설계공간까지 첫 번째 설계변수를 이동시키고 구배최적화 기법을 통해 각각의 제약함수를 만족하면서 목적함수를 죄대로 하는 최적블레이드 형상을 구현하였다. 설계된 최적형상에 대해 탈설계점 해석을 수행하여 성능을 구하였다.

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SQP법을 사용한 복합재 조류력 발전용 블레이드의 스파 캡에 대한 두께 최적화 (Thickness Optimization for Spar Cap of Composite Tidal Current Turbine Blade using SQP Method)

  • 차명찬;김상우;정민수;이인;유승재;박천진
    • Composites Research
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    • 제26권4호
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    • pp.207-212
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    • 2013
  • 본 연구에서는 유리강화섬유폴리머(GFRP)와 탄소강화섬유폴리머(CFRP)로 적층된 조류력 블레이드의 스파 캡(Spar cap)을 대상으로 끝단 처짐의 제한에 따른 단방향(UD) GFRP의 적층 두께를 최적화 하였다. 또한 도출된 적층 두께에 따른 블레이드 내부의 응력의 변화와 블레이드의 재료비용을 확인하였다. 비선형 최적화에 뛰어난 순차 이차방정식 프로그래밍(SQP) 알고리즘을 사용하였고, 목적함수를 계산하기 위하여 상용 유한요소해석 프로그램인 Abaqus/Standard와 연계하였다. UD CFRP의 적층 두께가 9 mm로 제한된 경우, 끝단 처짐이 감소함에 따라 UD GFRP의 적층 두께가 증가하였다. 즉, 최적화된 스파 캡의 무게는 최대 96.2% 증가였으며 최대 인장응력은 최대 24.6% 감소하였다. 끝단 처짐이 126.83 mm로 제한된 경우, UD CFRP의 적층 두께가 줄어듦에 따라 UD GFRP의 적층 두께가 증가하였다. 이로 인하여 무게는 최대 40.1% 증가하였지만 재료비용은 최대 16.97% 감소하였다. 본 연구에서 제시한 블레이드 스파 캡의 최적화된 두께를 바탕으로 조류력 블레이드의 무게, 내부의 최대 응력과 재료비용의 상관관계를 제시하였다.

Optimal design of multiple tuned mass dampers for vibration control of a cable-supported roof

  • Wang, X.C.;Teng, Q.;Duan, Y.F.;Yun, C.B.;Dong, S.L.;Lou, W.J.
    • Smart Structures and Systems
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    • 제26권5호
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    • pp.545-558
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    • 2020
  • A design method of a Multiple Tuned Mass Damper (MTMD) system is presented for wind induced vibration control of a cable-supported roof structure. Modal contribution analysis is carried out to determine the dominating modes of the structure for the MTMD design. Two MTMD systems are developed for two most dominating modes. Each MTMD system is composed of multiple TMDs with small masses spread at multiple locations with large responses in the corresponding mode. Frequencies of TMDs are distributed uniformly within a range around the dominating frequencies of the roof structure to enhance the robustness of the MTMD system against uncertainties of structural frequencies. Parameter optimizations are carried out by minimizing objective functions regarding the structural responses, TMD strokes, robustness and mass cost. Two optimization approaches are used: Single Objective Approach (SOA) using Sequential Quadratic Programming (SQP) with multi-start method and Multi-Objective Approach (MOA) using Non-dominated Sorting Genetic Algorithm-II (NSGA-II). The computation efficiency of the MOA is found to be superior to the SOA with consistent optimization results. A Pareto optimal front is obtained regarding the control performance and the total weight of the TMDs, from which several specific design options are proposed. The final design may be selected based on the Pareto optimal front and other engineering factors.

내부핀이 부착된 원형관 열교환기의 형상 최적화 (Shape Optimization of a Heat Exchanger with Internally Finned Tube)

  • 이주희;이상환;박경우;최동훈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1418-1423
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    • 2004
  • Optimization of a heat exchanger with internally finned circular tubes has been performed for three-dimensional periodically fully developed turbulent flow and heat transfer. The design variables of fin number N, fin width ($d_1,d_2$) and fin height(H), are numerically optimized for the limiting conditions of $N=22{\sim}37$, $d_1=0.5{\sim}1.5$ mm, $d_2=0.5{\sim}1.5$ mm, $H=0.1{\sim}1.5$. Due to the periodic boundary conditions along main flow direction, the three layers of meshes are considered. The CFD and the mathematical optimization are coupled to optimize the heat exchanger. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by using the sequential quadratic programming (SQP) method which is widely used in the constrained nonlinear optimization problem.

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내부휜이 부착된 원형관 열교환기의 열/유동 해석 및 최적설계 (Flow/Heat Transfer Analysis and Shape Optimization of a Heat Exchanger with Internally Finned Tube)

  • 이주희;이상환;임효재;박경우
    • 대한기계학회논문집B
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    • 제29권4호
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    • pp.460-468
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    • 2005
  • Analyses of flow and heat transfer characteristics and shape optimization of internally finned circular tubes have been performed for three-dimensional periodically fully developed turbulent flow and heat transfer. CFD and mathematical optimization are coupled in order to optimize the shape of heat exchanger. The design variables such as fin widths $(d_{1},\;d_{2})$ and fin height (h) are numerically optimized by minimizing the pressure loss and maximizing the heat transfer rate for limiting conditions of $d_{1}=0.2\~1.5\;mm,\;d_{2}=0.2\~1.5\;mm,$ and $h=0.2\~1.5mm$. Due to the periodic boundary conditions along main flow direction, the three layers of meshes are considered. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by means of the sequential quadratic programming (SQP) method which is widely used in the constrained nonlinear optimization problem.

헬리콥터 블레이드 플랜폼 공력 최적설계(I): 최적설계 기법 (Aerodynamic Optimization of Helicopter Blade Planform (I): Design Optimization Techniques)

  • 김창주;박수형;오선구;김승호;정기훈;김승범
    • 한국항공우주학회지
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    • 제38권11호
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    • pp.1049-1059
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    • 2010
  • 본 연구는 헬리콥터 블레이드 플랜폼의 공력최적 설계를 다루었다. 블레이드 3차원 공력형상 설계단계에서 결정해야하는 주요 설계 요소를 정의하고 B$\acute{e}$zier 곡선 등을 이용하여 매개변수화 하였다. 매개변수화와 설계 구속조건은 경험적 요소와 노하우를 반영하여 산업체나 연구소 등에서 사용하고 있는 설계기법을 활용하여 정의하였다. 호버링 FM과 전진비행 등가 양항비를 최적설계 문제의 목적함수로 반영하였다. 유도된 비선형 최적화 문제는 SQP기법으로 풀이하였으며 응용연구를 통해 본 연구의 기법으로 블레이드의 익형배치, 비틀림 및 시위분포 등 중요한 플랜폼 형상을 효과적으로 설계할 수 있음을 보였다.

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.

프리스트레스트 프리캐스트 더블 티형보의 최적설계 (Design and Optimization of Prestressed Precast Double-tee Beams)

  • 유승룡;민창식
    • 콘크리트학회논문집
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    • 제11권6호
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    • pp.57-67
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    • 1999
  • Optimization scheme is presented for the design of precast prestressed double-tee beams used as slabs in the parking or market structures. The objective considered is defined by a function that minimizes the hight of the double-tee beam, including the prefabricated element and the concrete topping poured in a second phase. The Sequential Quadratic Programming method is adopted to solve the problem. As an example 12 double-tee beams are designed with the design loads of the current design code of our country. The results from optimization process show that at least 29cm less in overall height than that designed by PCI design handbook. The section determined from the optimization process was refined for practical considerations. A MathCad 7.0 Pro Spreadsheet was prepared to verify all ACI requirements for flexure, shear and deflections. Flexural tests are performed on four full-scale 12.5m prototype models and show that all the specimens are fully comply the flexural strength requirements as specified by ACI 318-95. The present optimization scheme can be used for wider application of the design of precast prestressed double-tee beams with different materials and configurations particularly for in a large scale or for important designs.

신경회로망 기법을 사용한 액체금속원자로 봉다발의 형상최적화 (Shape Optimization of LMR Fuel Assembly Using Radial Basis Neural Network Technique)

  • 라자 와심;김광용
    • 대한기계학회논문집B
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    • 제31권8호
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    • pp.663-671
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    • 2007
  • In this work, shape optimization of a wire-wrapped fuel assembly in a liquid metal reactor has been carried out by combining a three-dimensional Reynolds-averaged Navier-Stokes analysis with the radial basis neural network method, a well known surrogate modeling technique for optimization. Sequential Quadratic Programming is used to search the optimal point from the constructed surrogate. Two geometric design variables are selected for the optimization and design space is sampled using Latin Hypercube Sampling. The optimization problem has been defined as a maximization of the objective function, which is as a linear combination of heat transfer and friction loss related terms with a weighing factor. The objective function value is more sensitive to the ratio of the wire spacer diameter to the fuel rod diameter than to the ratio of the wire wrap pitch to the fuel rod diameter. The optimal values of the design variables are obtained by varying the weighting factor.