• 제목/요약/키워드: nonlinear minimization

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Detection of Second-Layer Corrosion in Aging Aircraft

  • Kim, Noh-Yu;Yang, Seun-Yong
    • 비파괴검사학회지
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    • 제29권6호
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    • pp.591-602
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    • 2009
  • The Compton backscatter technique has been applied to lap-joint in aircraft structure in order to determine mass loss due to exfoliative corrosion of the aluminum alloy sheet skin. The mass loss of each layer has been estimated from Compton backscatter A-scan including the aluminum sheet, the corrosion layer, and the sealant. A Compton backscattering imaging system has been also developed to obtain a cross-sectional profile of corroded lap-splices of aging aircraft using a specially designed slit-type camera. The camera is 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 layered structure is scanned by moving the scattering volume through the thickness direction of the specimen. The theoretical model of the Compton scattering based on Boltzmann transport theory is presented for quantitative characterization of exfoliative corrosion through deconvolution procedure using a nonlinear least-square error minimization method. It produces practical information such as location and width of planar corrosion in layered structures of aircraft, which generally cannot be detected by conventional NDE techniques such as the ultrasonic method.

D-Optimal 반응표면모델에 의한 섀시 프레임 최적설치 (Optimization of Chassis Frame by Using D-Optimal Response Surface Model)

  • 이광기;구자겸;이태희
    • 대한기계학회논문집A
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    • 제24권4호
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    • pp.894-900
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    • 2000
  • Optimization of chassis frame is performed according to the minimization of eleven responses representing one total frame weight, three natural frequencies and seven strength limits of chassis frame that are analyzed by using each response surface model from D-optimal design of experiments. After each response surface model is constructed form D-optimal design and random orthogonal array, the main effect and sensitivity analyses are successfully carried out by using this approximated regression model and the optimal solutions are obtained by using a nonlinear programming method. The response surface models and the optimization algorithms are used together to obtain the optimal design of chassis frame. The eleven-polynomial response surface models of the thirteen frame members (design factors) are constructed by using D-optimal Design and the multi-disciplinary design optimization is also performed by applying dual response analysis.

Large deflection analysis of orthotropic, elliptic membranes

  • Chucheepsakul, Somchai;Kaewunruen, Sakdirat;Suwanarat, Apiwat
    • Structural Engineering and Mechanics
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    • 제31권6호
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    • pp.625-638
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    • 2009
  • Applications of membrane mechanisms are widely found in nano-devices and nano-sensor technologies nowadays. An alternative approach for large deflection analysis of the orthotropic, elliptic membranes - subject to gravitational, uniform pressures often found in nano-sensors - is described in this paper. The material properties of membranes are assumed to be orthogonally isotropic and linearly elastic, while the principal directions of elasticity are parallel to the coordinate axes. Formulating the potential energy functional of the orthotropic, elliptic membranes involves the strain energy that is attributed to inplane stress resultant and the potential energy due to applied pressures. In the solution method, Rayleigh-Ritz method can be used successfully to minimize the resulting total potential energy generated. The set of equilibrium equations was solved subsequently by Newton-Raphson. The unparalleled model formulation capable of analyzing the large deflections of both circular and elliptic membranes is verified by making numerical comparisons with existing results of circular membranes as well as finite element solutions. The results are found in excellent agreements at all cases. Then, the parametric investigations are given to delineate the impacts of the aspect ratios and orthotropic elasticity on large static tensions and deformations of the orthotropic, elliptic membranes.

완화된 안정도 조건을 갖는 강인한 디지털 퍼지 제어기 설계: 전역적 디지털 재설계 접근법 (Development of Robust Fuzzy Controller with Relaxed Stability Condition: Global Intelligent Digital Redesign Approach)

  • 성화창;김진규;주영훈;박진배
    • 제어로봇시스템학회논문지
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    • 제13권5호
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    • pp.487-492
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    • 2007
  • This paper presents the development of digital robust fuzzy controller for uncertain nonlinear systems. The proposed approach is based on the intelligent digital redesign(IDR) method with considering the relaxed stability condition of fuzzy control system. The term IDR in the concerned system is to convert an existing analog robust control into an equivalent digital counterpart in the sense of the state-matching. We shows that the IDR problem can be reduced to find the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital robust control systems. Its constructive conditions are expressed as the linear matrix inequalities(LMIs) and thereby easily tractable by the convex optimization techniques. Based on the nonquadratic Lyapunov function, the robust stabilization conditions are given for the sampled-data fuzzy system, and hence less conservative. A numerical example, chaotic Lorentz system, is demonstrated to visualize the feasibility of the proposed methodology.

크리깅 모델에 의한 철도차량 현수장치 최적설계 (Optimization of a Train Suspension using Kriging Model)

  • 박찬경;이광기;이태희;배대성
    • 대한기계학회논문집A
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    • 제27권6호
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    • pp.864-870
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    • 2003
  • In recent engineering, the designer has become more and more dependent on the computer simulations such as FEM(Finite Element Method) and BEM(Boundary Element Method). In order to optimize such implicit models more efficiently and reliably, the meta -modeling technique has been developed for solving such a complex problems combined with the DACE(Design and Analysis of Computer Experiments). It is widely used for exploring the engineer's design space and for building approximation models in order to facilitate an effective solution of multi-objective and multi-disciplinary optimization problems. Optimization of a train suspension is performed according to the minimization of forty -six responses that represent ten ride comforts, twelve derailment quotients, twelve unloading ratios, and twelve stabilities by using the Kriging model of a train suspension. After each Kriging model is constructed, multi -objective optimal solutions are achieved by using a nonlinear programming method called SQP(Sequential Quadratic Programming).

마이크로 스트립라인 집중소자를 이용한 일체형 탄성표면파 듀플렉서 필터의 최적설계 (Optimal Design of a One-chip-type SAW Duplexer Filter Using Micro-strip Line Lumped Elements)

  • 이승희;이영진;노용래
    • 한국음향학회지
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    • 제20권3호
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    • pp.83-90
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    • 2001
  • 기존의 탄성표면파 듀플렉서 필터는 1/4 파장 정합선로를 이용한 격리회로를 이용하기 때문에 패키지 상에 스트립 라인을 구성하는 제작상의 어려움이 있다. 송수신 필터와 격리회로를 따로 제작하여 조립하기 때문에 제작공정 또한 복잡하다. 본 연구에서는 격리회로가 송신용, 수신용 필터와 함께 하나의 단일 칩 위에 위치할 수 있는 새로운 형태의 탄성표면파 듀플렉서 필터를 설계하였다. 이러한 형태의 듀플렉서를 구성하기 위하여, 개별 탄성표면파 사다리형 필터와 집중소자인 인덕터와 캐패시터로 구성되는 격리회로망을 설계하였고, 듀플렉서의 전체 성능을 최적화할 수 있는 적절한 목표함수를 세워, 이를 비선형 다차원 최소화 방법을 통하여 최적화하였다. 그 결과 상용제품보다 더 우수한 성능이 구현됨을 확인하였다.

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Shape Optimization of the H-shape Spacer Grid Spring Structure

  • Yoon, Kyung-Ho;Kim, Hyung-Kyu;Kang, Heung-Seok;Song, Kee-Nam;Park, Ki-Jong
    • Nuclear Engineering and Technology
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    • 제33권5호
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    • pp.547-555
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    • 2001
  • In pressurized light water reactor fuel assembly, spacer grids support nuclear fuel rods both laterally and vertically. The fuel rods are supported by spacer grid springs and grid dimples that are located in the grid cell. The support system allows for some thermal expansion and imbalance of the fuel rods. The imbalance is absorbed by elastic energy to prevent coolant flow- induced vibration damage. Design requirements are defined and a design process is established. The design process includes mathematical optimization as well as practical design method. The shape of the grid spring is designed to maintain its function during the lifetime of the fuel assembly. A structural optimization method is employed for the shape design. Since the optimization is carried out in the linear range of finite element analysis, the optimum solution is verified by nonlinear analysis. A good design is found and the final design is compared with the initial conceptual design. Commercial codes are utilized for structural analysis and optimization.

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적응 스텝 크기에 의한 CCA 블라인드 등화 알고리즘의 성능 개선 (Performance Improvement of CCA Blind Equalization Algorithm by Adaptive Step Size)

  • 임승각
    • 한국인터넷방송통신학회논문지
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    • 제16권1호
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    • pp.109-114
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    • 2016
  • 본 논문은 디지털 무선 전송시 채널에서 발생되는 부호간 간섭과 잡음의 영향을 최소화하기 위한 CCA (Compact Constellation Algorithm) 등화 알고리즘에서 적응 스텝 크기를 적용하여 이의 등화 성능 개선에 관한 것이다. 일반적으로 등화 알고리즘에서 적응을 위한 스텝 크기는 고정적으로 사용하지만, 제안 알고리즘에서는 등화를 위한 스텝 크기를 비선형 함수인 오차 신호에 비례하도록 변화시킨다. 이의 개선된 등화 성능을 보이기 위하여 등화기 출력 성상도, 잔류 isi, 최대 찌그러짐과 MSE와 SER을 적용하였으며, 이들을 고정 스텝 크기를 갖는 기존 CCA와 비교하였다. 컴퓨터 시뮬레이션의 결과 정상 상태 이후에서는 적응 스텝 방식의 CCA가 고정 스텝 방식의 CCA보다 우월함을 확인하였다.

모호한 목표를 가진 대화형 퍼지 다목적 의사결정 (Interactive Fuzzy Multiobjective Decision-Making with Imprecise Goals)

  • 이상환;홍성일
    • 한국경영과학회지
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    • 제17권3호
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    • pp.67-78
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    • 1992
  • MODM (multiobjective decision-making) problem is very complex system for the analyst. The problem is more complex if the goals of each of the objective functions are expressed imprecisely. It requires suitable MODM method to deal with imprecisions. Therefore, we present a new interactive fuzzy decision making method for solving multiobjective nonlinear programming problems by assuming that the decision maker (DM) has imprecise goals that assume fuzzy linguistic variable for each of the objective functions. The imprecise goals of the DM are quantified by eliciting corresponding membership functions through the interactive with the DM out of six membership functions. After determining membership functions, in order to generate the compromise or satisficing solution which is .lambda.-pareto optimal, .lambda.-max problem is solved. The higher degree of membership is chosen to satisfy imprecise goals of all objective functions by combining the membership functions. Then, the values are the compromise or satisficing solution. On the basis of the proposed method, and interactive computer programming is written to implement man-machine interactive procedures. Our programming is a revised version of sequential unconstrained minimization technique. Finally, a numerical example illustrates various aspects of the results developed in this paper.

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도립진자형 이족보행로봇의 유연한 궤적 생성 (A Smooth Trajectory Generation for an Inverted Pendulum Type Biped Robot)

  • 노경곤;공정식;김진걸;강찬수
    • 한국정밀공학회지
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    • 제22권7호
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    • pp.112-121
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    • 2005
  • This paper is concerned with smooth trajectory generation of biped robot which has inverted pendulum type balancing weight. Genetic algorithm is used to generate the trajectory of the leg and balancing weight. Balancing trajectory can be determined by solving the second order differential equation under the condition that the reference ZMP (Zero moment point) is settled. Reference ZMP effect on gait pattern absolutely but the problem is how to determine the reference ZMP. Genetic algorithm can find optimal solution under the high order nonlinear situation. Optimal trajectory is generated when use genetic algorithm which has some genes and a fitness function. In this paper, minimization of balancing joints motion is used for the fitness function and set the weight factor of the two balancing joints at the fitness function. Inverted pendulum type balancing weight is very similar with human and this model can be used fur humanoid robot. Simulation results show ZMP trajectory and the walking experiment made on the real biped robot IWR-IV.