• Title/Summary/Keyword: Quadratic Programming

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Collapse behaviour of three-dimensional brick-block systems using non-linear programming

  • Baggio, Carlo;Trovalusci, Patrizia
    • Structural Engineering and Mechanics
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    • v.10 no.2
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    • pp.181-195
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    • 2000
  • A two-step procedure for the application of non linear constrained programming to the limit analysis of rigid brick-block systems with no-tension and frictional interface is implemented and applied to various masonry structures. In the first step, a linear problem of programming, obtained by applying the upper bound theorem of limit analysis to systems of blocks interacting through no-tension and dilatant interfaces, is solved. The solution of this linear program is then employed as initial guess for a non linear and non convex problem of programming, obtained applying both the 'mechanism' and the 'equilibrium' approaches to the same block system with no-tension and frictional interfaces. The optimiser used is based on the sequential quadratic programming. The gradients of the constraints required are provided directly in symbolic form. In this way the program easily converges to the optimal solution even for systems with many degrees of freedom. Various numerical analyses showed that the procedure allows a reliable investigation of the ultimate behaviour of jointed structures, such as stone masonry structures, under statical load conditions.

Study on the Development of an Optimal Hull Form

  • Cho Hee-Jong;Lee Gyoung-Woo;Youn Soon-Dong;Chun Ho-Hwan
    • Journal of Navigation and Port Research
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    • v.29 no.7
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    • pp.603-609
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    • 2005
  • This paper presents the method for developing an optimum hull form with minimum wave resistance using SQP( sequential quadratic programming) as an optimization technique. The wave resistance is evaluated by a Rankine source panel method with non-linear free surface conditions and the ITTC 1957 friction line is used to predict the frictional resistance coefficient. The geometry of the hull surface is represented and modified using NURBS(Non-Uniform Rational B-Spline) surface patches. To verify the validity of the developed program the numerical calculations for Wigley hull and Series 60 Cb=0.6 hull are performed and the results obtained after the numerical calculations are compared with the initial hulls.

A Comparison of Optimization Algorithms: An Assessment of Hydrodynamic Coefficients

  • Kim, Daewon
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.24 no.3
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    • pp.295-301
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    • 2018
  • This study compares optimization algorithms for efficient estimations of ship's hydrodynamic coefficients. Two constrained algorithms, the interior point and the sequential quadratic programming, are compared for the estimation. Mathematical optimization is designed to get optimal hydrodynamic coefficients for modelling a ship, and benchmark data are collected from sea trials of a training ship. A calibration for environmental influence and a sensitivity analysis for efficiency are carried out prior to implementing the optimization. The optimization is composed of three steps considering correlation between coefficients and manoeuvre characteristics. Manoeuvre characteristics of simulation results for both sets of optimized coefficients are close to each other, and they are also fit to the benchmark data. However, this similarity interferes with the comparison, and it is supposed that optimization conditions, such as designed variables and constraints, are not sufficient to compare them strictly. An enhanced optimization with additional sea trial measurement data should be carried out in future studies.

Simulation of Ball Indentation Process by Elasto-Plastic Contact Analysis (탄소성 접촉 해석법을 이용한 볼 압입시험의 시뮬레이션)

  • 이병채;곽병만
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.185-192
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    • 1988
  • Computation of the elasto-plastic solution of ball indentation was carried out by the quadratic programming method. The problem was formulated as an elasto-plastic contact problem under the assumption of small displacement and small deformation and then transformed into a minimization problem. Finite element approximation resulted in a quadratic programming problem. Numerical and experimental study were done with aluminium Al 2024-T351 and commercially pure copper. The computed load-displacement curves were in good agrement with those obtained from experiments. Tabor's relationship for representative strains was also examined. Stress distributions were found to resemble closely those results available in the literature.

Development of an Optimum Hull Form for a Container Ship with Minimum Wave Resistance (최소 조파저항을 가지는 컨테이너선의 선형최적화 기법에 대한 연구)

  • 최희종;서광철;김방은;전호환
    • Journal of the Society of Naval Architects of Korea
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    • v.40 no.4
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    • pp.8-15
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    • 2003
  • This paper presents the method for developing an optimum hull form with minimum wave resistance using SQP(sequential quadratic programming) as an optimization technique. The wave resistance is evaluated by a Rankine source panel method with non-linear free surface conditions and the ITTC 1957 friction line is used to predict the frictional resistance coefficient. The geometry of the hull surface is represented and modified using B-spline surface patches. The optimization method is applied to Series 60 hull and KCS(KRISO 3600 TEU Container Ship). The obtained results prove that the method is appropriate for preliminary hull form design.

Hydrodynamic Hull Form Design Using an Optimization Technique

  • Park, Dong-Woo;Choi, Hee-Jong
    • International Journal of Ocean System Engineering
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    • v.3 no.1
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    • pp.1-9
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    • 2013
  • A design procedure for a ship with minimum resistance had been developed using a numerical optimization method called SQP (Sequential Quadratic Programming) combined with computational fluid dynamics (CFD) technique. The frictional resistance coefficient was estimated by the ITTC 1957 model-ship correlation line formula and the wave-making resistance coefficient was evaluated by the potential-flow panel method with the nonlinear free surface boundary conditions. The geometry of the hull surface was represented and modified by B-spline surface modeling technique during the optimization process. The Series 60 ($C_B$=0.60) hull was selected as a parent hull to obtain an optimized hull that produces minimum resistance. The models of the parent and optimized hull forms were tested at calm water condition in order to demonstrate the validity of the proposed methodolgy.

Structural Topology Optimization for the Natural Frequency of a Designated Mode

  • Lim, O-Kaung;Lee, Jin-Sik
    • Journal of Mechanical Science and Technology
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    • v.14 no.3
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    • pp.306-313
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    • 2000
  • The homogenization method and the density function method are common approaches to evaluate the equivalent material properties for design cells composed of matter and void. In this research, using a new topology optimization method based on the homogenized material with a penalty factor and the chessboard prevention strategy, we obtain the optimal layout of a structure for the natural frequency of a designated mode. The volume fraction of nodes of each finite element is chosen as the design variable and a total material usage constraint is imposed. In this paper, the subspace method is used to evaluate the eigenvalue and its corresponding eigenvector of the structure for the designated mode and the recursive quadratic programming algorithm, PLBA algorithm, is used to solve the topology optimization problem.

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Large-scale Nonseparabel Convex Optimization:Smooth Case (대규모 비분리 콘벡스 최적화 - 미분가능한 경우)

  • 박구현;신용식
    • Journal of the Korean Operations Research and Management Science Society
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    • v.21 no.1
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    • pp.1-17
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    • 1996
  • There have been considerable researches for solving large-scale separable convex optimization ptoblems. In this paper we present a method for large-scale nonseparable smooth convex optimization problems with block-angular linear constraints. One of them is occurred in reconfiguration of the virtual path network which finds the routing path and assigns the bandwidth of the path for each traffic class in ATM (Asynchronous Transfer Mode) network [1]. The solution is approximated by solving a sequence of the block-angular structured separable quadratic programming problems. Bundle-based decomposition method [10, 11, 12]is applied to each large-scale separable quadratic programming problem. We implement the method and present some computational experiences.

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An Application of Optimization method for Efficient Operation of Micro Grid (마이크로그리드의 효율적 운영을 위한 최적화기법의 응용)

  • Kim, Kyu-Ho
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.26 no.12
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    • pp.50-55
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    • 2012
  • This paper presents an application of optimization method for efficient operation in micro grid. For operational efficiency, the objective function in a diesel generator consists of the fuel cost function similar to the cost functions used for the conventional fossil-fuel generating plants. The wind turbine generator is modeled by the characteristics of variable output. The cost function of fuel cell plant considers the efficiency of fuel cell. Particle swarm optimization(PSO) and sequential quadratic programming(SQP) are used for solving the problem of microgrid system operation. Also, from the results this paper presents the way to attend power markets which can buy and sell power from upper lever grids by connecting a various generation resources to micro grid.

Design of IIR Notch Filter for Removal of Baseline wander and Power Line Interference from ECG Signal

  • Chivapreecha, Sorawat;Dejhan, Kobchai;Yimman, Surapan
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.848-851
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    • 2005
  • This paper proposes a design of IIR notch filter with modified pole placements. The pole angle is derived from quadratic programming to find the appropriate pole position on the unit circle in z-plane in order to achieve the symmetry of the amplitude response. The simulation results are shown when compared with the conventional design technique. Moreover, it uses the TMS320C31 DSP chip for hardware implementation. Finally, the hardware implementation can be applied to removal of ECG baseline wander and elimination of AC power line interference in ECG signal.

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