• Title/Summary/Keyword: 확률론적 설계법

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A Comparative Study on Probabilistic Structural Design Optimization (확률론적 구조설계 최적화기법에 대한 비교연구)

  • 양영순;이재옥
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.213-224
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    • 2001
  • 확률론적 구조설계 최적화는 구조물의 역학적 특성이나 하중의 불확실성이나 임의성과 같은 변동성을 정량적이고 합리적으로 고려할 수 있다는 점에서 기존의 전통적인 확정론적 최적화와 비교된다. 확률론적 최적화의 방법론으로는 개선된 일계이차모멘트법을 이용하는 신뢰도지수에 기반한 접근법(MPFP search)이 널리 알려져 있으며, 최근 목표성능치에 기반한 접근법(MPTP search)이 새롭게 제안되었다. 본 논문에서는 이들 두 가지 접근법에 대한 정식화를 수행하고, 특히 탐색과정에서 소모적인 반복계산을 발견하고 제거하는 알고리즘을 제시하였다. 예제에서 두 접근법에 의한 확률론적 최적화를 수행하고 구조설계 최적화의 관점에서 두 접근법의 장단점을 비교·검토하였다.

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An Improved Stochastic Algorithm Using Kriging for Practical Optimal Designs (크리깅을 이용한 개선된 확률론적 최적화 알고리즘)

  • 임종빈;박정선;노영희
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.9
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    • pp.33-44
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    • 2006
  • As many scientific phenomena are now investigated using complex computer models, the effective use of Kriging on physical problems has been expanded to provide global approximations for optimization problems. This paper is focused on the two types of strategies to improve efficiency and accuracy of approximate optimization models using Kriging. These methods are performed by the stochastic process, stochastic-localization method(SLM), as the criterion to move the local domains and the design of experiments(DOE), the classical design and space-filling design. The proposed methodology is applied to the designs of 3-bar truss, Sandgren's pressure vessel, and honeycomb upper platform of a satellite structure.

Evaluation of Allowable Criteria in First-Passage Probability Method for Caisson Sliding of Vertical Breakwater (직립방파제의 케이슨 활동에 대한 최초통과확률법의 허용기준 산정)

  • Kim, Seung-Woo;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.5
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    • pp.317-326
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    • 2013
  • Probabilistic design methods can consider uncertainties of design variables and are widely used in the design of vertical breakwaters. The probabilistic design methods include a partial safety factor method, reliabilitybased design method, and performance-based design method. Especially the performance-based design method calculates the accumulated sliding distance during the lifetime of the breakwater or during a design storm. Recently a time-dependent performance-based design method has been developed based on the first-passage probability of individual sliding distance during a design storm. However, because the allowable criteria in the first-passage probability method are not established, the stability of structures cannot be quantitatively evaluated. In this study, the allowable first-passage probabilities for two limit states are proposed by calculating the first-passage probabilities for the cross-sections designed with various water depths and characteristics of extreme wave height distributions. The allowable first-passage probabilities are proposed as 5% and 1%, respectively, for the repairable limit state (allowable individual sliding distance of 0.03 m) and ultimate limit state (allowable individual sliding distance of 0.1 m). The proposed criteria are applied to the evaluation of the effect of wave-height increase due to climate change on the stability of the breakwater.

Performance Moment Integration (PMI) for Prediction Performance Changes of a Loudspeaker Model Due to the Uncertainty of Design Variables (성능 모멘트 적분법을 이용한 설계 변수의 불확실성에 기인한 스피커 모델의 성능 변동 예측)

  • Kang, Byung-Su;Lee, Sang-kyun;Kim, Dong-Wook;Kim, Dong-Hun
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.766-767
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    • 2015
  • 전자기 관련 제품에서 제작공차에 의한 성능변동의 확률론적 분포특성을 효율적으로 예측하기 위해 성능 모멘트 적분법을 도입하였다. 제안된 기법을 검증하기 위해 간단한 수학예제와 스피커 모델의 폴피스 사이 공극의 평균자속 밀도에 대한 확률론적 분포특성 예측을 수행하고, 이를 기존 확률론적 분포특성 예측 기법과 비교하였다. 또한 몬테카를로 수치모사법을 이용하여 도출된 성능의 확률론적 분포특성 예측 값을 재계산 후 비교함으로써 제안된 기법의 정밀도를 검증하였다.

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Probabilistic Analysis of Equivalent Uniformly Distributed Live Loads (등가등분포 적재하중의 확률론적 분석)

  • 김상효;정시현;조형근
    • Computational Structural Engineering
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    • v.2 no.2
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    • pp.93-99
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    • 1989
  • Since 1960's, structural engineers have recognized that the inherent random nature of loadings and materials as well as the imperfect structural analysis may be important factors in the structural safety evaluation. Based on the successful developments of the reliability-based structural analysis and design, the design criteria of the standards are recently developed(or modified) in the light of the probabilistic concepts. To develop the probability - based criteria for the domestic buildings, the probabilistic characteristic of loadings acting on structures should be defined first. In this study, therefore, live load data on apartment buildings have been collected and analyzed in systematic manner, and their probabilistic characteristics have been studied. Based on the results, the lifetime extreme values are computed and compared with current design loads. More rational design loads are suggested, which are more consistent in the probabilistic concepts.

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Probabilistic Approach for Fighter Inlet Hammershock Design Pressure (전투기 흡입구 해머쇼크 설계압력에 대한 확률론적 접근법)

  • Bae, Hyo-gil;Lee, Hoon Sik;Kim, Yun-mi;Jeong, In Myon;Lee, SangHyo;Cho, Dae-yeong
    • Journal of Aerospace System Engineering
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    • v.13 no.5
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    • pp.72-78
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    • 2019
  • Inlet hammershock is the critical loads condition for designing the inlet duct structure of a fighter. The sudden flow reduction in engine compressor causes inlet hammershock with high pressure. The traditional method was used to combine extreme conditions (maximum speed, sea level altitude, and cold day) to analyze this compression wave inlet hammershock pressure. However, after the 90s there have been papers that presented the probabilistic approach for the inlet hammershock to achieve the appropriate design pressure. This study shows how to analyze the inlet hammershock pressure by making practical use of the Republic of Korea Air Force real flight usage data under probabilistic approach and then analyze approximately 30% decreased inlet hammershock pressure compared with the traditional valve.

Analysis of the Optimal Separation Distance between Multiple Thermal Energy Storage (TES) Caverns Based on Probabilistic Analysis (확률론적 해석에 기반한 다중 열저장공동의 적정 이격거리 분석)

  • Park, Dohyun;Kim, Hyunwoo;Park, Jung-Wook;Park, Eui-Seob;Sunwoo, Choon
    • Tunnel and Underground Space
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    • v.24 no.2
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    • pp.155-165
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    • 2014
  • Multiple thermal energy storage (TES) caverns can be used for storing thermal energy on a large scale and for a high-aspect-ratio heat storage design to provide good thermal performance. It may also be necessary to consider the use of multiple caverns with a reduced length when a single, long tunnel-shaped cavern is not suitable for connection to aboveground heat production and injection equipments. When using multiple TES caverns, the separation distance between the caverns is one of the significant factors that should be considered in the design of storage space, and the optimal separation distance should be determined based on a quantitative stability criterion. In this paper, we described a numerical approach for determining the optimal separation distance between multiple caverns for large-scale TES utilization. For reliable stability evaluation of multiple caverns, we employed a probabilistic method which can quantitatively take into account the uncertainty of input parameters by probability distributions, unlike conventional deterministic approaches. The present approach was applied to the design of a conceptual TES model to store hot water for district heating. The probabilistic stability results of this application demonstrated that the approach in our work can be effectively used as a decision-making tool to determine the optimal separation distance between multiple caverns. In addition, the probabilistic results were compared to those obtained through a deterministic analysis, and the comparison results suggested that care should taken in selecting the acceptable level of stability when using deterministic approaches.

Reliability Analysis and Evaluation of Partial Safety Factors for Wave Run-up (처오름에 대한 신뢰성 해석 및 부분안전계수 산정)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.4
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    • pp.355-362
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    • 2008
  • A reliability model of Level II AFDA is proposed to analyze the wave run-up occurring by the interaction of incident waves and sloped coastal structures. The reliability model may be satisfactorily calibrated by Level III Monte-Carlo simulation. Additionally, the partial safety factors of random variables related to wave run-up can be straightforwardly evaluated by the inverse-reliability method that use influence coefficients and uncertainties of random variables, and target probability of failure. In particular, a design equation for wave run-up is derived in the same form as that of deterministic design method so that the reliability-based design method of Level I may be applied easily. Finally, it is confirmed that results redesigned by the reliability-based design method of Level I with partial safety factors suggested in this paper are satisfactorily compared with results of CEM(2006) as well as those of Level II AFDA.

Reliability Assessment of Tunnel Support Systems Using a Probability-Based Method (확률론적 기법을 이용한 터널 지보시스템의 신뢰성 평가)

  • Park, Do-Hyun;Park, Eui-Seob;Song, Won-Kyong;Ryu, Dong-Woo
    • Tunnel and Underground Space
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    • v.20 no.1
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    • pp.39-48
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    • 2010
  • The present study developed a program which can assess the reliability of tunnel support systems based on a probability-based method. The developed program uses FLAC2D as a solver, and can automatically execute all the processes, associated with numerical and probabilistic analysis. Since a numerical analysis, which models the ground, requires a significant calculation time, it is actually impossible to apply simulation-based methods to probabilistic assessment on the reliability of tunnel support systems. Therefore, the present study used a point estimate method, which is efficient for probabilistic analysis since the method can significantly reduce the number of samples when compared with the simulation-based method. The developed program was applied to a tunnel project, and the results were compared with those through a deterministic approach. From the comparison, it was identified that a probabilistic approach can quantitatively assess the reliability of tunnel support systems based on probability of failure and can be used as a tool for decision making in tunnel support designs.

Reliability-Based Topology Optimization Using Performance Measure Approach (성능함수법을 이용한 신뢰성기반 위상 최적설계)

  • Ahn, Seung-Ho;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.1
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    • pp.37-43
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    • 2010
  • In this paper, a reliability-based design optimization is developed for the topology design of linear structures using a performance measure approach. Spatial domain is discretized using three dimensional Reissner-Mindlin plate elements and design variable is taken as the material property of each element. A continuum based adjoint variable method is employed for the efficient computation of sensitivity with respect to the design and random variables. The performance measure approach of RBDO is employed to evaluate the probabilistic constraints. The topology optimizationproblem is formulated to have probabilistic displacement constraints. The uncertainties such as material property and external loads are considered. Numerical examples show that the developed topology optimization method could effectively yield a reliable design, comparing with the other methods such as deterministic, safety factor, and worst case approaches.