• 제목/요약/키워드: Optimal design formulation

검색결과 219건 처리시간 0.031초

경계요소법을 이용한 2 차원 복수 영역 열전도 고체의 형상 설계 민감도 해석 (Shape Design Sensitivity Analysis of Two-Dimensional Thermal Conducting Solids with Multiple Domains Using the Boundary Element Method)

  • 이부윤;임문혁
    • 한국정밀공학회지
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    • 제20권8호
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    • pp.175-184
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    • 2003
  • A method of the shape design sensitivity analysis based on the boundary integral equation formulation is presented for two-dimensional inhomogeneous thermal conducting solids with multiple domains. Shape variation of the external and interface boundary is considered. A sensitivity formula of a general performance functional is derived by taking the material derivative to the boundary integral identity and by introducing an adjoint system. In numerical analysis, state variables of the primal and adjoint systems are solved by the boundary element method using quadratic elements. Two numerical examples of a compound cylinder and a thermal diffuser are taken to show implementation of the shape design sensitivity analysis. Accuracy of the present method is verified by comparing analyzed sensitivities with those by the finite difference. As application to the shape optimization, an optimal shape of the thermal diffuser is found by incorporating the sensitivity analysis algorithm in an optimization program.

다물체 시스템의 동적 최적화 (Dynamic Optimization of Multi-body Systems)

  • 이종년
    • 한국정밀공학회지
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    • 제19권5호
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    • pp.51-55
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    • 2002
  • This paper presents a systematic methodology and formulation for determining optimal strategies of multi-body dynamic systems, which is based on multi-body dynamics, design sensitivity, and optimization techniques, and is applicable to a wide variety of mechanical systems. The particular application discussed in this paper considers a vehicle model with four-wheel steeling capability, and the presented methodology determines an optimal steering angle ratio strategy for the vehicle. It is shown that such a strategy can improve the ride stability of the vehicle, during a variety of maneuvers, when compared against similar strategies obtained from linear and simplified vehicle models.

Optimum multi-objective modified step-stress accelerated life test plan for the Burr type-XII distribution

  • Srivastava, P.W.;Mittal, N.
    • International Journal of Reliability and Applications
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    • 제15권1호
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    • pp.23-50
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    • 2014
  • This paper deals with formulation of optimum multi-objective modified step-stress accelerated life test (ALT) plan for Burr type-XII distribution under type-I censoring. Since it is impractical to estimate only one objective parameter after conducting costly ALT tests; also, it is not desirable to assume instantaneous changes in stress levels because of limited capacity of test equipments and the presence of undesirable failure modes, therefore, an optimum multi-objective modified step-stress ALT plan has been designed. The optimal test plan consists in determining the optimum low stress level and optimal time at which stress starts linearly increasing from low stress by minimizing the weighted sum of the asymptotic variances of the maximum likelihood estimator of quantile lifetimes at design constant stress. The method developed has been illustrated using an example. Sensitivity analysis has been carried out. Comparative study has also been done to highlight the merits of the proposed model.

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고층건물 기둥 부등축소량의 최적보정기법 정식화 (Formulation of an Optimal Compensation Method for Differential Column Shortening in Highrise Buildings)

  • 김기봉;박효선
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.370-377
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    • 1999
  • Differential shortenings of columns in a highrise building must be considered in the design process to avoid unexpected damages in structural and nonstructural elements. While research activity has been reported in the literature on the development of estimation algorithms or prediction procedures of elastic and inelastic column shortenings, no algorithms or methods for compensation of differential shortenings. In this paper a compensation method for differential column shortenings in a high-rise is formulated as an optimization problem The simulated annealing algorithm is used to find optimal solutions. The performance of the proposed method is presented by using the well known examples developed by PCA.

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OPTIMAL DESIGN OF BATCH-STORAGE NETWORK APPLICABLE TO SUPPLY CHAIN

  • Yi, Gyeong-beom;Lee, Euy-Soo;Lee, In-Beom
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1859-1864
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    • 2004
  • An effective methodology is reported for the optimal design of multisite batch production/transportation and storage networks under uncertain demand forecasting. We assume that any given storage unit can store one material type which can be purchased from suppliers, internally produced, internally consumed, transported to or from other plant sites and/or sold to customers. We further assume that a storage unit is connected to all processing and transportation stages that consume/produce or move the material to which that storage unit is dedicated. Each processing stage transforms a set of feedstock materials or intermediates into a set of products with constant conversion factors. A batch transportation process can transfer one material or multiple materials at once between plant sites. The objective for optimization is to minimize the probability averaged total cost composed of raw material procurement, processing setup, transportation setup and inventory holding costs as well as the capital costs of processing stages and storage units. A novel production and inventory analysis formulation, the PSW(Periodic Square Wave) model, provides useful expressions for the upper/lower bounds and average level of the storage inventory. The expressions for the Kuhn-Tucker conditions of the optimization problem can be reduced to two sub-problems. The first yields analytical solutions for determining lot sizes while the second is a separable concave minimization network flow subproblem whose solution yields the average material flow rates through the networks for the given demand forecast scenario. The result of this study will contribute to the optimal design and operation of large-scale supply chain system.

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다수의 공장을 포함하는 불확실한 수요예측하의 회분식 공정-저장조 망의 최적설계 (Optimal Design Of Multisite Batch-Storage Network under Scenario Based Demand Uncertainty)

  • 이경범;이의수;이인범
    • 제어로봇시스템학회논문지
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    • 제10권6호
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    • pp.537-544
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    • 2004
  • An effective methodology is reported for determining the optimal lot size of batch processing and storage networks which include uncertain demand forecasting. We assume that any given storage unit can store one material type which can be purchased from suppliers, internally produced, infernally consumed, transported to or from other sites and/or sold to customers. We further assume that a storage unit is connected to all processing and transportation stages that consume/produce or move the material to which that storage unit is dedicated. Each processing stage transforms a set of feedstock materials or intermediates into a set of products with constant conversion factors. A batch transportation process can transfer one material or multiple materials at once between sites. The objective for optimization is to minimize the probability averaged total cost composed of raw material procurement, processing setup, transportation setup and inventory holding costs as well as the capital costs of processing stages and storage units. A novel production and inventory analysis formulation, the PSW(Periodic Square Wave) model, provides useful expressions for the upper/lower bounds and average level of the storage inventory. The expressions for the Kuhn-Tucker conditions of the optimization problem can be reduced to two sub-problems. The first yields analytical solutions for determining lot sires while the second is a separable concave minimization network flow subproblem whose solution yields the average material flow rates through the networks for the given demand forecast scenario. The result of this study will contribute to the optimal design and operation of the global supply chain.

그라운드 빔 조인트 기반 위상최적화법을 이용한 프레임 구조물의 조립 위치 및 강도 설정 (Ground Beam-Joint Topology Optimization for Design and Assembly of Multi-Piece Frame Structures)

  • 장강원;김명진;김윤영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.688-693
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    • 2007
  • Most frame structures cannot be manufactured in a single-piece form. Ideally, when a structure is built up by assembling multi pieces, assembly at the joints should be rigidly performed enough to have almost full stiffness, which is difficult for practical reasons such as manufacturing cost and time. In this research, we aim to develop a manufacturability-oriented compliance-minimizing topology optimization using a ground beam model incorporating additional zero-length elastic joint elements. In the present formulation, design variables control the stiffness of zero-length elastic joints, not the stiffness of beams. Because joint stiffness values at the converged state can be utilized to select candidate assembly locations and their strengths, the technique is extremely useful to design multi-piece frame structures. An optimal layout is also extracted based on the stiffness values.

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장대 PC교량의 최적 내진설계 및 성능개선을 위한 최소 기대 Life Cycle Cost 모델 (Minimum Expected Life Cycle Cost Model for Optimal Seismic Design and Upgrading of Long Span PC Bridges)

  • 조효남;임종권
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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    • pp.305-312
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    • 1999
  • This study is intended to propose a systematic and practical life cycle cost(LCC) model for the development of the reliability-based seismic safety and cost-effective performance criteria for design and upgrading of long-span PC bridges. The LCC models consist of five cost functions such as initial cost, repair/replacement cost, human losses, road user cost, and indirect losses of regional economy. The proposed model Is successfully expressed in temrs of Park-Ang damage indices and life cycle damage probability obtained from SMART-DRAIN-2DX which is an existing algorithm for nonlinear time history analysis. The proposed LCC model is successfully applied to a viaduct constructed by PSM, in Seoul. Based on the observations, the proposed systematic procedure for the formulation of LCC model may be useful for the development of the reliability-based seismic safety and cost-effective performance criteria for design and upgrading of long-span PC bridges.

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시간지연을 갖는 2차 시스템의 LQ-PID 제어기 동조 (LQ-PID Controller Tuning for the Second-Order System with Time-Delay)

  • 박택선;서병설
    • 전자공학회논문지SC
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    • 제41권2호
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    • pp.1-8
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    • 2004
  • 본 논문은 시간지연을 갖는 2차 시스템에서 시간영역의 설계사양을 만족하는 최적 강인 LQ-PID제어기 설계방법을 제안한다. 시간지연을 갖는 2차 시스템의 LQR 해를 이용한 LQ-PID제어기 파라미터는 설계사양을 만족하는 가격함수의 가중치요소 C와 R에 의해 결정되고, Q와 R의 선정은 시간영역에서의 오버슈트와 정착시간을 조절할 수 있는 설계파라미터들 선정에 의해 결정되어진다.

Nonlinear stochastic optimal control strategy of hysteretic structures

  • Li, Jie;Peng, Yong-Bo;Chen, Jian-Bing
    • Structural Engineering and Mechanics
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    • 제38권1호
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    • pp.39-63
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    • 2011
  • Referring to the formulation of physical stochastic optimal control of structures and the scheme of optimal polynomial control, a nonlinear stochastic optimal control strategy is developed for a class of structural systems with hysteretic behaviors in the present paper. This control strategy provides an amenable approach to the classical stochastic optimal control strategies, bypasses the dilemma involved in It$\hat{o}$-type stochastic differential equations and is applicable to the dynamical systems driven by practical non-stationary and non-white random excitations, such as earthquake ground motions, strong winds and sea waves. The newly developed generalized optimal control policy is integrated in the nonlinear stochastic optimal control scheme so as to logically distribute the controllers and design their parameters associated with control gains. For illustrative purposes, the stochastic optimal controls of two base-excited multi-degree-of-freedom structural systems with hysteretic behavior in Clough bilinear model and Bouc-Wen differential model, respectively, are investigated. Numerical results reveal that a linear control with the 1st-order controller suffices even for the hysteretic structural systems when a control criterion in exceedance probability performance function for designing the weighting matrices is employed. This is practically meaningful due to the nonlinear controllers which may be associated with dynamical instabilities being saved. It is also noted that using the generalized optimal control policy, the maximum control effectiveness with the few number of control devices can be achieved, allowing for a desirable structural performance. It is remarked, meanwhile, that the response process and energy-dissipation behavior of the hysteretic structures are controlled to a certain extent.