• Title/Summary/Keyword: Optimal Sensitivity

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Structural Optimization Using Stochastic Finite Element Method (확률 유한요소법을 사용한 구조물 최적설계)

  • 임오강;이병우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1920-1929
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    • 1994
  • The stochastic finite element method(SFEM) based structural optimal design is presented. Random system response including uncertainties for the design variable is calculated with first order perturbation method. A method for calculating the sensitivity coefficients is developed using the equilibrium equation and first-order perturbed equation. Numerical results are presented for a truss, frame and plate structures with displacement and stress constraints. The sensitivity calculation proposed here is compared with finite difference method. A nonlinear programming technique is used to solve the problem. The procedure is easily incorporated with existing deterministic structural optimization.

Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses (동적응답을 최소화하는 비구속형 제진보의 제진부위 최적설계)

  • Lee, Doo-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.656-661
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    • 2005
  • An optimization formulation of unconstrained damping treatment on beams is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. The loss factors of partially covered unconstrained beam are calculated by the modal strain energy method. Vibration responses are calculated by using the modal superposition method, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in minimizing vibration responses with unconstrained damping layer treatment.

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Sensitivity Analysis for a Make-to-Order Inventory-Production System with Limited Order Acceptance Level (제한된 주문허용 수준을 갖는 주문공산 재고시스템을 위한 민감도 분석)

  • Kim Eungab;Kim Jiseung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.30 no.2
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    • pp.117-129
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    • 2005
  • This paper considers a make-to-order inventory-production system in which customer orders are admitted only when the number of outstanding customer orders is below a value committed by the system. We deal with general distributions for the customer order Inter-arrival, production, and replenishment lead time processes. Monotonicities of the optimal average cost with respect to these distribution parameters are established using sample path coupling arguments. When distributions are given as an exponential one, we implement a sensitivity analysis on the optimal inventory policy and show that it has monotonicities with respect to system costs using dynamic programming.

Optimal Design of Suspension for Micro Optical Disk Drive (마이크로 광디스크 드라이브 서스펜션의 최적 설계)

  • Jeon, Joon-Ho;Chun, Jung-Il;Park, No-Chul;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.570-575
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    • 2002
  • Servo performance of a disk drive is greatly affected by the mechanical resonance frequencies of the head gimbal assembly (HSA). It is important factor to allow broader bandwidths for servo system in improving overall drive performance. In this paper, an optimal design for ODD suspension is attempted to increase resonance frequencies in tracking direction. Initial model was designed and the design parameter was defined to the model. The mode frequency variation for the change of design parameter was observed by modal analysis using the finite element method(FEM). The sensitivity matrix was calculated from the observed data and so through sensitivity analysis, an optimized ODD suspension was designed to have the higher resonant frequency than the initial model.

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Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses (진동응답을 최소화하는 비구속형 제진보의 제진 부위 최적설계)

  • Lee, Doo-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.7 s.100
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    • pp.829-835
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    • 2005
  • An optimization formulation of unconstrained damping treatment on beam is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. Vibration responses are calculated by using the modal superposition principle, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in suppressing nitration responses by means of unconstrained damping layer treatment.

Sensitivity Analysis and Optimization of Nonlinear Vehicle Frame Structures (비선형 차체프레임구조물의 민감도해석 및 최적화)

  • Won, Chong-Jin;Lee, Jong-Sun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.9
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    • pp.2833-2842
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    • 1996
  • This paper is to practice optimal rigidity design by the strain energy density estimation method for static buckling and sizing design sensitivity analysis for dynamic buckling of a nonlinear vehicle frame structure from those results. Using these sizing design sensitivity resutls, an optimization of a nonlinear vehicle frame structure with dynamic buckling constraint is carrried out with the graient projection method.

Active Vibration Control of a Plate Using the Distributed Modal Sensitivity (분포모달감도를 이용한 평판의 능동진동제어)

  • 송철기;박재상;이장무;황진권;최종호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.320-325
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    • 1995
  • This study deals with the active vibration control system for an all-clamped rectangular plate with piezoceramic actuators and sensors. A line nonent algorithm (LMA) with the distributed modal sensitivity(DMS) is proposed to reduce the structural vibrations effectively and to select the optimal locations and the optimal directions (skewed angles) of uniform piezoelectric actuators or sensors. Experimental results show that eachmode can attenuated byabout 10 .approx. 13 dB in case a piezoelectric actuator generate the psuedo-random disturbances that excite the plate modes.

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Linear Programming based Optimal Reactive Power Dispatch using Modified Sensitivity Method (수정된 민감도 기법을 이용한 선형계획법 기반의 무효전력 최적배분)

  • Kim, Tae-Kwon;Kim, Byung-Seop;Kim, Min-Soo;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.190-193
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    • 2001
  • This paper presents a linear programming based Optimal Reactive Power Dispatch (ORPD) problem using modified sensitivity method. The proposed model minimizes the real power losses and improves the voltage profiles in the system with consideration of voltage and reactive power constraints. The method employs modified sensitivity relationships of power systems to establish both the objective function for minimizing the system losses and the system performance sensitivities relating dependent and control variables. The proposed algorithm has been evaluated with the IEEE 6-bus and IEEE 30-bus systems.

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Dynamic Sensitivity Analysis For Lateral Drift Control Of Frame-Shear Wall Structures (골조-전단벽 구조물의 횡변위제어를 위한 동적 민감도 해석)

  • Lee, Han-Joo;Kim, Ji-Youn;Han, Seung-Baek;Nam, Kyung-Yun;Kim, Ho-Soo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.571-576
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    • 2007
  • This study presents stiffness-based optimal design to control quantitatively lateral drift of frame-shear wall structures subject to seismic loads. To this end, lateral drift constraints are established by introducing approximation concept that preserves the generality of the mathematical programming and can efficiently solve large scale problems. Also, the relationships of sectional properties are established to reduce the number of design variables and resizing technique of member is developed under the 'constant-shape' assumption. Specifically, the methodology of dynamic displacement sensitivity analysis is developed to formulate the approximated lateral displacement constraints. The 12 story frame-shear wall structural models is considered to illustrate the features of dynamic stiffness-based optimal design technique proposed in this study.

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Optimization of Queueing Network by Perturbation Analysis (퍼터베이션 분석을 이용한 대기행렬 네트워크의 최적화)

  • 권치명
    • Journal of the Korea Society for Simulation
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    • v.9 no.2
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    • pp.89-102
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    • 2000
  • In this paper, we consider an optimal allocation of constant service efforts in queueing network to maximize the system throughput. For this purpose, using the perturbation analysis, we apply a stochastic optimization algorithm to two types of queueing systems. Our simulation results indicate that the estimates obtained from a stochastic optimization algorithm for a two-tandem queuing network are very accurate, and those for closed loop manufacturing system are a little apart from the known optimal allocation. We find that as simulation time increases for obtaining a new gradient (performance measure with respect to decision variables) by perturbation algorithm, the estimates tend to be more stable. Thus, we consider that it would be more desirable to have more accurate sensitivity of performance measure by enlarging simulation time rather than more searching steps with less accurate sensitivity. We realize that more experiments on various types of systems are needed to identify such a relationship with regards to stopping rule, the size of moving step, and updating period for sensitivity.

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