• Title/Summary/Keyword: 확률 구속조건

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Optimal Design of Linear Quadratic Regulator Restrict Maximum Responses of Building Structures Subject to Stochastic Excitation (확률적 가진입력을 받는 건축구조물의 최대응답 제한을 위한 선형이차안정기의 최적설계)

  • 박지훈;황재승;민경원
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.6
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    • pp.37-46
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    • 2001
  • In this research, a controller design method based on optimization is proposed that can satisfy constraints on maximum responses of building structures subject to around excitation modeled by partially stochastic process. The class of controllers to be optimized is restricted to LQR. Weighting matrix on controlled outputs is used as design variable. Objective function, constraint functions and their gradients are computed by the parameterization of control gain with Riccati matrix. Full state feedback controllers designed by proposed optimization method satisfy various design objectives and their necessary maximum control forces are computed for the production of actuator. LQG controllers composed of Kalman filter and LQR designed by proposed method perform well with little deterioration. So it is possible to design output feedback controllers satisfying constraints on various maximum responses of structures.

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A Study of Evaluating Probabilistic Constraints for Reliability-Based Design Optimization (신뢰도 기반 최적설계를 위한 확률구속조건 평가방법 연구)

  • Jeung, Gi-Woo;Kim, Dong-Wook;Jung, Sang-Sik;Sung, Young-Hwa;Kim, Dong-Hun
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.870-871
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    • 2011
  • 신뢰도 기반 최적설계는 목적함수를 최적화하는 단계와 확률구속조건을 평가하기 위한 최적화 단계로 이루어져 있다. 본 논문에서는 확률구속조건을 평가하는 방법으로 신뢰도 지수 기법과 성능치 기법을 제시하였고, 두 기법을 적용하여 초전도 자기 에너지 저장장치 모델의 신뢰도 기반 최적설계를 수행하였다.

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Reliability-Based Design Optimization of Electromagnetic Devices by Evaluating Probabilistic Constraints Based on Performance Measure Approach (목표 성능치 기반의 확률구속조건 평가 기법을 이용한 전자기 장치의 신뢰도 기반 최적설계)

  • Kim, Dong-Wook;Kim, Dong-Hun
    • Journal of the Korean Magnetics Society
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    • v.23 no.2
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    • pp.62-67
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    • 2013
  • This paper introduces an effective methodology for reliability-based design optimization of electromagnetic products, where a performance measure approach is adopted to accurately assess probabilistic constrains. Two design problems consisting of a loudspeaker and a superconducting magnetic energy storage system are considered. The efficiency of the proposed method in evaluating the failure probability of performances during the optimization process are compared with the existing method based on the reliability index approach. Moreover, in term of the accuracy of probability failure values, optimized design results are examined with reference values obtained from the Monte Carlo simulation.

System Reliability-Based Design Optimization Using Performance Measure Approach (성능치 접근법을 이용한 시스템 신뢰도 기반 최적설계)

  • Kang, Soo-Chang;Koh, Hyun-Moo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3A
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    • pp.193-200
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    • 2010
  • Structural design requires simultaneously to ensure safety by considering quantitatively uncertainties in the applied loadings, material properties and fabrication error and to maximize economical efficiency. As a solution, system reliability-based design optimization (SRBDO), which takes into consideration both uncertainties and economical efficiency, has been extensively researched and numerous attempts have been done to apply it to structural design. Contrary to conventional deterministic optimization, SRBDO involves the evaluation of component and system probabilistic constraints. However, because of the complicated algorithm for calculating component reliability indices and system reliability, excessive computational time is required when the large-scale finite element analysis is involved in evaluating the probabilistic constraints. Accordingly, an algorithm for SRBDO exhibiting improved stability and efficiency needs to be developed for the large-scale problems. In this study, a more stable and efficient SRBDO based on the performance measure approach (PMA) is developed. PMA shows good performance when it is applied to reliability-based design optimization (RBDO) which has only component probabilistic constraints. However, PMA could not be applied to SRBDO because PMA only calculates the probabilistic performance measure for limit state functions and does not evaluate the reliability indices. In order to overcome these difficulties, the decoupled algorithm is proposed where RBDO based on PMA is sequentially performed with updated target component reliability indices until the calculated system reliability index approaches the target system reliability index. Through a mathematical problem and ten-bar truss problem, the proposed method shows better convergence and efficiency than other approaches.

Development of Probability-Based Assessment Index for Docking Process Assessment (무인잠수정의 도킹 과정 평가를 위한 확률 기반 평가지표 개발)

  • Chon, Seung-jae;Kim, Joon-young;Choi, Joong-lak;Jeong, Seong-hoon;Kim, Jong-hwa
    • Journal of Advanced Navigation Technology
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    • v.25 no.3
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    • pp.177-184
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    • 2021
  • This paper proposes an assessment method using probability-based index for safe and successful underwater docking of autonomous underwater vehicles(AUVs) to the docking stations(DSs). The proposed method assesses the probability of docking according to the degree to which the state of the AUV is consistent with the state criteria for docking. The assessment is performed within a specific area considering the kinematic constraints and docking plans of the AUV. The assessment process is defining probability density function, calculating probabilities for reaching the docking station according to the difference to position and heading criteria, and computing the probability-based index in real-time. We verify the validity of the proposed method through analyzing the data acquired on operation test.

A Study on the Stochastic Sensitivity in Structural Dynamics (구조물의 동적 응답에 대한 확률 민감도 해석에 관한 연구)

  • 최찬문
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.32 no.2
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    • pp.177-190
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    • 1996
  • 구조물의 동적 응답 해석 문제에 대해서, 확률 유한요소법을 논의코자, 기조의 유한요소 해석법에 수반 변수법(adjoint variable approach)과 2차 섭동법(second order perturbation method)을 적용한다. 동적 민감도의 시간 응답을 고려하기 위해서 모든 시간에 대해서 갖는 구속 조건의 범함수 형태를 취하고, 시간 적분에 있어서 중첩법(fold superposition technique)에 근거를 둔 수치 해석이 훨씬 더 효과적임을 보인다. 본 논문의 확률 유한요소 해석법은 기존의 유한요소 해석법은 기존의 유한요소 코드에 맞추어 쉽게 적용할 수 있는 이점이 있음을 보이며, 이의 검정을 위해서, 2차원과 3차원 프레임 구조물에 대한 수치 해석을 하고 그 결과를 검토해 보았다.

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Seismic Performance based Fragility Analysis of Bridge Structure in terms of Soil Conditions (지반조건을 고려한 교량의 내진성능기반 취약도 해석)

  • Lee, Dae-Hyoung;Hong, Hyung-Gi;Chung, Young-Soo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.73-76
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    • 2008
  • The damage of earthquakes have to achieve by probabilistic evaluation because of uncertainty of earthquake. Fragility analysis is a useful tool for predicting the probability of damage induced by the probable earthquake. This paper presents the probability of damage as a function of peak ground acceleration and estimates the probability of five damage levels for the pier of prestressed concrete (PSC) bridge subjected to given ground acceleration. At each 100 artificial earthquake motions were generated in terms of soil conditions, and nonlinear time domain analyses were performed for the damage states of the pier of PSC bridge structures. These damage states are described by displacement ductility result from seismic performance based on existing research results. Using the damage states and ground motion parameters, five fragility curves for the pier of PSC bridges with five types of dominant frequencies were constructed assuming a log-nomal distribution. It was found that there was a significant effect on the fragility curves due to the dominant frequencies.

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Designs of Pipe Fitting with Three Dimensional Measurement and Kinematic Constrained Equations (파이프 체결을 위한 3차원 측정 및 기구적 구속조건 기반의 설계 방식)

  • Yang, Jeong-Yean
    • The Journal of the Korea Contents Association
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    • v.22 no.3
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    • pp.54-61
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    • 2022
  • Ship is a huge system including a variety of pipe arrangements. Pipes are installed according to the design layout, however the end poistion of pipes are not well matched owing to its measurement and construction errors. In this situation, the customized pipe fitting is frequently designed to connect with both pipes, the position of which are manually measured. This paper focused that these two coordinates are measured by point cloud from RGBD sensor and the relative transformation induced by positional and orientational differences is calculated by inverse kinematics in robotics theory. Therefore, the result applies for the methodology of the pipe connection design. The pipe coordinate that is estimated by the matching and the probabilistic RANSAC method will be verified by experiments. The kinematic design parameters are computationally calculated by using the minimum degree of freedom that connects both pipe coordinates.

Efficient Adaptive Global Optimization for Constrained Problems (구속조건이 있는 문제의 적응 전역최적화 효율 향상에 대한 연구)

  • Ahn, Joong-Ki;Lee, Ho-Il;Lee, Sung-Mhan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.6
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    • pp.557-563
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    • 2010
  • This paper addresses the issue of adaptive global optimization using Kriging metamodel known as EGO(Efficient Global Optimization). The algorithm adaptively chooses where to generate subsequent samples based on an explicit trade-off between reduction of global uncertainty and exploration of the region of the interest. A strategy that saves the computational cost by using expectations derived from probabilistic nature of approximate model is proposed. At every iteration, a candidate test point that seems to be feasible/inactive or has little possibility to improve for minimum is identified and excluded from updating approximate models. By doing that the computational cost is saved without loss of accuracy.

Probabilistic Service Life Evaluation for OPC Concrete under Carbonation Considering Cold Joint and Induced Stress Level (콜드조인트 및 재하 응력을 고려한 탄산화에 노출된 OPC 콘크리트의 확률론적 내구수명평가)

  • Kwon, Seung-Jun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.23 no.6
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    • pp.45-52
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    • 2019
  • Steel corrosion due to carbonation in RC (Reinforced Concrete) structures easily occurs in urban cities with high CO2 concentration. RC structures are always subjected to external loading with various boundary conditions. The induced stress level causes changes in diffusion of harmful ion like CO2. In this work, a quantification of carbonation progress with stress level is carried out and carbonation prediction is derived through the relations. Determining the design parameters like cover depth, CO2 diffusion coefficient, carbonatable materials, and exterior CO2 concentration as random variables, service lifes under carbonation with design parameter's variation are obtained through MCS(Monte Carlo Simulation). Additionally the service life with different stress level is derived and the results are compared with those from deterministic method. Cover depth and cement hydrates are evaluated to be very effective to resist carbonation, and the proposed method which can consider the effect of stress on service life can be applied to maintenance priority determination.