• Title/Summary/Keyword: 통과확률

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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.

Structural Reliability Analysis of Linear Dynamic Systems with Random Properties (확률론적 선형 동적계의 구조신뢰성 해석)

  • Kim, In-Hack;Yang, Young-Soon
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.91-98
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    • 1997
  • Most dynamic systems have various random properties m excitation and system parameters. In this paper, a procedure for structural response and reliability analysis is proposed for the linear dynamic system with random properties in both excitation and system parameters. The system parameter and response with random properties are modeled by the perturbation technique, and then the response analysis is formulated by probabilistic and vibration theories. Probabilistic FEM is also used for the calculation of mean response which is difficult by the proposed response model. The first passage analysis by the integral equation method is used to analyze the probability of failure. The integral equation method results in the first passage probability in terms of crossing rates and first passage probability densities. In this study it is assumed that excitations, system parameters and responses are Gaussian. As an application example, the probabilities of failure at transient state are calculated for a sdof system with random mass and spring constant subjected to stationary white-noise excitation and the results are compared to those of numerical simulation.

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The Probability Precipitation Estimation in accordance with Pattern Change of Rainfall Using Stochastic Technique (추계학적 기법을 이용한 강우패턴변화에 따른 확률강우량 산정)

  • Jeong, An-Chul;Lee, Beum-Hee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.268-272
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    • 2012
  • 현재 확률강우량을 산정할 때는 수문사상 자료계열이 정상성을 가지고 있다고 가정하고 산정하고 있다. 이는 경향성 검정을 통과하지 못한 비정상성을 가지는 자료계열이라 할지라도 이들 자료에 대해 해석을 할 수 있는 검증된 대안이 아직 없기 때문이다. 따라서 본 연구에서는 강우의 증가경향성이 존재하여 경향성 검정을 통과하지 못한 비정상성을 가지는 지역에 대해서 경향성을 고려한 확률강우량을 산정하고, 기존의 방법에 의해서 산정된 확률강우량과 비교해보았다. 그리고 현재까지의 강우량 자료를 시계열분석을 이용하여 미래 강우량 자료를 예측하고 확률강우량을 산정함으로써 시계열분석을 통한 확률강우량 산정과 경향성을 고려하여 산정된 확률강우량을 비교했다. 우선 실제로 우리나라의 강우의 패턴이 변화하고 있는지 확인하고, 변화의 양상이 뚜렷한 지점에 대해서 시계열분석을 이용하여 가까운 미래의 확률강우량을 산정하였다. 그 결과, 2010년에 비해서 2020년의 확률강우량이 4~15%정도 증가하였다. 다른 방법과 비교해본 결과, 약 5%의 편차를 보였다. 본 연구에서는 최종적으로 우리나라 강우관측소 61지점의 경향성을 판별하여 전국 지도에 등고선으로 나타내어 경향성을 고려해야 할 지역들은 분류하였고, 이 지도를 활용하여 확률강우량을 산정함으로써 수공구조물의 계획 및 설계, 하천관리, 수자원 계획 등에 활용하고 전체적인 설계 빈도 상향조정으로 발생되는 예산 낭비 방지와 홍수피해 저감에 도움이 되고자 한다.

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Development of Time-Dependent Reliability-Based Design Method Based on Stochastic Process on Caisson Sliding of Vertical Breakwater (직립방파제의 케이슨 활동에 대한 확률과정에 기반한 시간의존 신뢰성 설계법 개발)

  • Kim, Seung-Woo;Cheon, Sehyeon;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.5
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    • pp.305-318
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    • 2012
  • Although the existing performance-based design method for the vertical breakwater evaluates an average sliding distance during an arbitrary time, it does not calculate the probability of the first occurrence of an event exceeding an allowable sliding distance(i.e. the first-passage probability). Designers need information about the probability that the structure is damaged for the first time for not only design but also maintenance and operation of the structure. Therefore, in this study, a time-dependent reliability design method based on a stochastic process is developed to evaluate the first-passage probability of caisson sliding. Caisson sliding can be formulated by the Poisson spike process because both occurrence time and intensity of severe waves causing caisson sliding are random processes. The occurrence rate of severe waves is expressed as a function of the distribution function of sliding distance and mean occurrence rate of severe waves. These values simulated by a performance-based design method are expressed as multivariate regression functions of design variables. As a result, because the distribution function of sliding distance and the mean occurrence rate of severe waves are expressed as functions of significant wave height, caisson width, and water depth, the first-passage probability of caisson sliding can be easily evaluated.

Comparison of confidence intervals for testing probabilities of a system (시스템의 확률 값 시험을 위한 신뢰구간 비교 분석)

  • Hwang, Ik-Soon
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.5
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    • pp.435-443
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    • 2010
  • When testing systems that incorporate probabilistic behavior, it is necessary to apply test inputs a number of times in order to give a test verdict. Interval estimation can be used to assert the correctness of probabilities where the selection of confidence interval is one of the important issues for quality of testing. The Wald interval has been widely accepted for interval estimation. In this paper, we compare the Wald interval and the Agresti-Coull interval for various sizes of samples. The comparison is carried out based on the test pass probability of correct implementations and the test fail probability of incorrect implementations when these confidence intervals are used for probability testing. We consider two-sided confidence intervals to check if the probability is close to a given value. Also one-sided confidence intervals are considered in the comparison in order to check if the probability is not less than a given value. When testing probabilities using two-sided confidence intervals, we recommend the Agresti-Coull interval. For one-sided confidence intervals, the Agresti-Coull interval is recommended when the size of samples is large while either one of two confidence intervals can be used for small size samples.

Characteristics of Kill Probability Distribution of Air Track Within the Engagement Space Using Multivariate Probability Density Function & Bayesian Theorem (다변량 확률밀도함수와 베이지안 정리를 이용한 교전공간내 공중항적의 격추확률 분포 특성)

  • Hong, Dong-Wg;Aye, Sung-Man;Kim, Ju-Hyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.6
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    • pp.521-528
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    • 2021
  • In order to allocate an appropriate interceptor weapon to an air track for which the threat assessment has been completed, it is necessary to evaluate the suitability of engagement in consideration of the expected point of engagement. In this thesis, a method of calculating the kill probability is proposed according to the position in the engagement space using Bayesian theorem with multivariate attribute information such as relative distance, approach azimuth angle, and altitude of the air track when passing through the engagement space. As a result of the calculation, it was confirmed that the distribution form of the kill probability value for each point in the engagement space follows a multivariate normal distribution based on the optimal predicted intercepting point. It is expected to be applicable to the engagement suitability evaluation of the engagement space.

A Study on Generating Meta-Model to Calculate Weapon Effectiveness Index for a Direct Fire Weapon System (직사화기 무기체계의 무기효과지수 계산을 위한 메타모델 생성방법 연구)

  • Rhie, Ye Lim;Lee, Sangjin;Oh, Hyun-Shik
    • Journal of the Korea Society for Simulation
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    • v.30 no.2
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    • pp.23-31
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    • 2021
  • Defense M&S(Modeling & Simulation) requires weapon effectiveness index which indicates Ph(Probability of hit) and Pk(Probability of kill) values on various impact and environmental conditions. The index is usually produced by JMEM(Joint Munition Effectiveness Manual) development process, which calculates Pk based on the impact condition and circular error probable. This approach requires experts to manually adjust the index to consider the environmental factors such as terrain, atmosphere, and obstacles. To reduce expert's involvement, this paper proposes a meta-model based method to produce weapon effectiveness index. The method considers the effects of environmental factors during calculating a munition's trajectory by utilizing high-resolution weapon system models. Based on the result of Monte-Carlo simulation, logistic regression model and Gaussian Process Regression(GPR) model is respectively developed to predict Ph and Pk values of unobserved conditions. The suggested method will help M&S users to produce weapon effectiveness index more efficiently.

An Equivalent Fatigue Load Model for Prestressed Concrete Bridges Girders (프리스트레스트 콘크리트 교량거더의 등가피로하중모델)

  • 김지상
    • Magazine of the Korea Concrete Institute
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    • v.6 no.2
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    • pp.148-158
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    • 1994
  • The goal of this study is to develop an equivalent fatigue load model for prestressed concrete composite girder bridges in Korea. To meet this goal, the probabilistic characteristics of traffics which cause fatigue damage in bridges are properly modeled. An equivalent fatigue load inodel for prestressed concrete composite girder bridges with constant. amplitude and frequency is established. The model proposed in this paper is very simple to use and gives fairly good results.

Numerical Study on the Probability Distribution of Irradinace through Random Media (랜덤매질을 통과한 광도의 확률분포에 관한 수치해석적 연구)

  • 백정기;손창수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.4
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    • pp.457-467
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    • 1993
  • One of the important statistical quantities for optical waves through random media is the probability distribution of irradiance. From phenomenological models, several distribution functions have been proposed. In this paper, irradiance data are obtained by computer simulation, and by comparing the proposed distribution functions with simulation data by the moment method, the histogram method, and the $x^2$-test, the validity of each distribution function is investigated.

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Direct Simulation of Compression and Pumping Characteristics for a Gaede-Type Drag Pump (분자드래그펌프의 압축 밀 배기특성 해석)

  • 이영규;이진원
    • Journal of the Korean Vacuum Society
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    • v.4 no.4
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    • pp.343-349
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    • 1995
  • 게데형 분자드래그펌프의 배기특성을 강구(hard sphere)분자모델과 NTC(No Time Counter)충돌 scheme을 이용한 직접모사 법의 하나인 DSMC(direct simulation Monte Carlo)방법을 이용하여 해석하였다. 해석에 사용된 모델은 높이가 일정하고, 길이가 높이의 1~3000배 사이인 이차원 채널이다. 자유분자영역으로부터 연속체 영역까지의 영역에서 최대압축비와 배기속도를 계산하였다. 계산결과 기존의 최대압축비 이론 결과는 채널내의 압력변화가 클 때는 큰 오차를 유발하는 것을 알 수 있었고, 유동방향의 기체분자의 통과확률은 채널 길이와 출구압력에 관계없이 거의 일정한 값을 갖는다는 것을 발견하였다.

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