• Title/Summary/Keyword: BFGS method

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A Study on Design Optimization of Mooring Pier using Prestressed Precast Concrete Panel (프리스트레스트 프리캐스트 콘크리트 패널을 이용한 잔교식부두의 최적설계)

  • 조병완;태기호;김용철
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.253-258
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    • 2000
  • Recently, the area of design optimization, especially structural optimization, has been and to be a continuous active area of research. And the design optimizations of port facilities have been achieved by many other civil engineers. But the design optimization of port facilities were limited to the design optimization of the breasting dolphin. This paper invested the design optimization of mooring pier and the foundations of mooring pier was suggested considering the convenience of repair and reinforcement work. The mooring pier devised with prestressed precast concrete panel and rigid frame welded wide flange beam to steel pipe pile. To accomplish the design optimization of mooring pier, the Augmented Lagrangian Multiplier Method(ALM) of ADS(Garret N. Vanderplaats) optimization routine, BFGS method as optimizer and Golden Section Method as one dimensional search were utilized. As a result, thirty percent of material cost for construction was reduced by design optimization. The tensile stress of concrete panel and bottom flage was critical constraints under service load. So, using high strength concrete and steel will be economical. And lots of initial values must be invested to accomplish the design optimization in design procedures.

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Optimal Synthesis of Steering Mechanisms Considering Transmission Angles (전달각을 고려한 조향기구의 최적합성)

  • Park, Jong-Keun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.1
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    • pp.68-75
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    • 2012
  • In this study, the optimal synthesis of planar steering mechanisms for vehicles is studied. The author minimized the steering error between two front wheels subject to the constraints of transmission angles. Nonlinear programming methods such as BFGS method and golden section search method are used for this optimization. As numerical examples, Ackermann's steering mechanism, 6-link and 10-link planar mechanism are adopted to check the usefulness of this method. Consequently, among the three optimized mechanisms, 10-link planar one conducts far more accurate performance subject to tight constraints of transmission angles.

Modified gradient methods hybridized with Tikhonov regularization for damage identification of spatial structure

  • Naseralavi, S.S.;Shojaee, S.;Ahmadi, M.
    • Smart Structures and Systems
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    • v.18 no.5
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    • pp.839-864
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    • 2016
  • This paper presents an efficient method for updating the structural finite element model. Model updating is performed through minimizing the difference between the recorded acceleration of a real damaged structure and a hypothetical damaged one. This is performed by updating physical parameters (module of elasticity in this study) in each step using iterative process of modified nonlinear conjugate gradient (M-NCG) and modified Broyden-Fletcher-Goldfarb-Shanno algorithm (M-BFGS) separately. These algorithms are based on sensitivity analysis and provide a solution for nonlinear damage detection problem. Three illustrative test examples are considered to assess the performance of the proposed method. Finally, it is demonstrated that the proposed method is satisfactory for detecting the location and ratio of structural damage in presence of noise.

Application of Optimum Design Technique in Determining the Coefficient of Consolidation Using Piezocone Test (피에조 콘 시험을 이용정회원, 한국과학기술원 토목공학과 부교수, 정회원, 한국과학기술원 토목공학과 박사 후 과정한 망일계수 결정시 최적화 기법의 적용)

  • Kim, Yeong-Sang;Lee, Seung-Rae;Kim, Yun-Tae
    • Geotechnical Engineering
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    • v.13 no.4
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    • pp.95-108
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    • 1997
  • For normally consolidated clay, several researchers have developed a number of theoretical time factors to determine the coefficient of consolidation However, depending on the assumptions and analytical techniques, it could considerably vary even for a specific degree of consolidation. In this paper, a method is proposed to determine a consistent coefficient of consolidation over all ranges of degree of consolidation by applying the concept of the Optimum Design Technique. The initial excess pore pressure distribution is assumed to be obtainable by the successive spherical cavity expansion theory. The dissipation of pore pressure is simulated by means of two dimensional linear-uncoupled axisymmetric consolidation analysis. The minimization of the differences between the measured and the predicted excess pore pressures was carried by BFGS unconstrained optimum design algorithm with one dimensional golden section search technique. By analyzing numerical and real field examples, it can be found that the adopted optimum technique gives a consistent and convergent results.

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Practical Consolidation Analysis and Back Analysis for Draainage-Installed Compressible Deposits (배수재가 설치된 압축성 지반의 효율적인 압밀해석 및 역해석)

  • 김윤태;이승래
    • Proceedings of the Korean Geotechical Society Conference
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    • 1994.09a
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    • pp.175-181
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    • 1994
  • In order to accelerate the rate of consolidation settlement and to gain a required shear strength for a given soft clay deposit, the preloading technique combined with a vertical drainage system has been widely applied. In this study, the theory of axisymmetric concolidation, which considers the variation of compressibility and permeability during the consolidation process, has been developed. Smear and well resistance effects are also considered. Furthermore, several back-analysis schemes such as simplex method, BFGS method, and ADS have been adopted in the axisymmetric consolidation program(AXICON). The measured data in the first stage of consolidation are utilized to predict the subsequent consolidation behavior.

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Detection of Second-Layer Corrosion in Aging Aircraft Fuselage

  • Kim, Noh-Yu;Achenbach, J.D.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.6
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    • pp.417-426
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    • 2006
  • A Digital X-ray imaging system using Compton backscattering has been developed to obtain a cross-sectional profile and mass loss of corroded lap-splices of aging aircraft from density variation. A slit-type camera was designed to focus on a small scattering volume inside the material, from which the backscattered photons are collected by a collimated scintillator detector for interpretation of material characteristics. The cross section of the lap-joint is scanned by moving the scattering volume through the thickness direction of the specimen. The mass loss of each layer has been estimated from a Compton backscatter A-scan to obtain the thickness of each layer including the aluminum sheet, the corrosion layer and the sealant. Quantitative information such as location and width of planar corrosion in the lap splices of fuselages is obtained by deconvolution using a nonlinear least-square error minimization method(BFGS method): A simple reconstruction model is also introduced to overcome distortion of the Compton backscatter data due to attenuation effects attributed to beam hardening and quantum noise.

OFDM MIMO radar waveform design for targets identification

  • Bai, Ting;Zheng, Nae;Chen, Song
    • ETRI Journal
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    • v.40 no.5
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    • pp.592-603
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    • 2018
  • In order to obtain better target identification performance, an efficient waveform design method with high range resolution and low sidelobe level for orthogonal frequency division multiplexing (OFDM) multiple-input multiple-output (MIMO) radar is proposed in this paper. First, the wideband CP-based OFDM signal is transmitted on each antenna to guarantee large bandwidth and high range resolution. Next, a complex orthogonal design (COD) is utilized to achieve code domain orthogonality among antennas, so that the spatial diversity can be obtained in MIMO radar, and only the range sidelobe on the first antenna needs suppressing. Furthermore, sidelobe suppression is expressed as an optimization problem. The integrated sidelobe level (ISL) is adopted to construct the objective function, which is solved using the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm. The numerical results demonstrate the superiority in performance (high resolution, strict orthogonality, and low sidelobe level) of the proposed method compared to existing algorithms.

Optimal Ply Design of Laminated Composite Plate with a Hole Considering Vibration (진동을 고려한 원공복합적층판의 최적적층설계)

  • 홍도관;김동영;최경호;안찬우
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.6
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    • pp.423-429
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    • 2003
  • On this study. we improved the efficiency applying algorithm that is repeatedly using table of orthogonal array in discrete design space and filling a defect of gradient method in continuous design space. we showed optimal ply angle that maximized 1st natural frequency of CFRP laminated composite plate without a hole and with a hole by each aspect ratio. In the case of CFRP laminated composite plate without a hole, we confirmed the reliance and efficiency of algorithm in comparison with the result of optimization achievement repeatedly using statistical table of orthogonal array of experimental design and the BFGS optimal design method.

Crack Identification Using Optimization Technique (수학적 최적화기법을 이용한 결함인식 연구)

  • Seo, Myeong-Won;Yu, Jun-Mo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.190-195
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    • 2000
  • It has been established that a crack has an important effect on the dynamic behavior of a structure. This effect depends mainly on the location and depth of the crack. To identify the location and depth of a crack in a structure. Nikolakopoulos et. al. used the intersection point of the superposed contours that correspond to the eigenfrequency caused by the crack presence. However the intersecting point of the superposed contours is not only difficult to find but also incorrect to calculate. A method is presented in this paper which uses optimization technique for the location and depth of the crack. The basic idea is to find parameters which use the structural eigenfrequencies on crack depth and location and optimization algorithm. With finite element model of the structure to calculate eigenfrequencies, it is possible to formulate the inverse problem in optimization format. Method of optimization is augmented lagrange multiplier method and search direction method is BFGS variable metric method and one dimensional search method is polynomial interpolation.

Computer-Aided Design of Involute Cylindrical Gears for Power Transmission (컴퓨터를 이용한 동력전달용 인벌류우트 원통치차의 설계)

  • 정태형;김민수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.594-602
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    • 1990
  • A computer-aided design system of involute cylindrical gears(spur and helical gears) for power transmission is developed, in which the volume of a gear unit is minimized with satisfying various design constraints. As the design constraints, bending strength and pitting resistance of AGMA 218.01, scoring of Dudley's flash temperature, contact ratio, and involute interference of pinion are considered and effective factors for strength calculation(life, reliability, hardness ratio, load distribution, velocity, etc.) are also included. This complicated nonlinear optimization problem is solved by using ALM(Augmented-Lagrange-Multiplier) method with self scaling BFGS(Broydon-Fletcher-Goldfarb-Shanno) method employed for unconstrained optimization programming. This design method can be easily applied to designing power transmission gear unit in the machines of various kinds. It is expected for the proposed method to be a contribution for an automated design of gear unit towards weight minimization, miniaturization and high strength of gear unit.