• Title/Summary/Keyword: 몬테카를로 법

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Performance Analysis of Monopulse System Based on Third-Order Taylor Expansion in Additive Noise (부가성 잡음이 존재하는 모노펄스 시스템 성능의 3차 테일러 전개 기반 해석적 분석)

  • Ham, Hyeong-Woo;Kim, Kun-Young;Lee, Joon-Ho
    • Journal of Convergence for Information Technology
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    • v.11 no.12
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    • pp.14-21
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    • 2021
  • In this paper, it is shown how the performance of the monopulse algorithm in the presence of an additive noise can be obtained analytically. In the previous study, analytic performance analysis based on the first-order Taylor series and the second-order Taylor series has been conducted. By adopting the third-order Taylor series, it is shown that the analytic performance based on the third-order Taylor series can be made closer to the performance of the original monopulse algorithm than the analytic performance based on the first-order Taylor series and the second-order Taylor series. The analytic MSE based on the third-order Taylor approximation reduces the analytic MSE error based on the second-order Taylor approximation by 89.5%. It also shows faster results in all cases than the Monte Carlo-based MSE. Through this study, it is possible to explicitly analyze the angle estimation ability of monopulse radar in an environment where noise jamming is applied.

Dose Distribution Study for Quantitative Evaluation when using Radioisotope (99mTc, 18F) Sources (방사성 동위원소 (99mTc, 18F) 선원 사용 시 인체 내부피폭의 정량적 평가를 위한 선량분포 연구)

  • Ji, Young-Sik;Lee, Dong-Yeon;Yang, Hyun-Gyung
    • Journal of the Korean Society of Radiology
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    • v.16 no.5
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    • pp.603-609
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    • 2022
  • The dose distribution in the human body was evaluated and analyzed through dosimetry data using water phantom, ionization chamber and simulated by Monte Carlo simulation for 99mTc and 18F sources, which are frequently used in the nuclear medicine in this study. As a result of this study, it was found that the dose decreased exponentially as the distance from the radioisotope increased, and it particularly showed a tendency to decrease sharply when the radioisotope was separated by 5 cm. It means that a large amount of dose is delivered to an organ located within 4 cm of source's movement path when a source uptake in the human body. Numerically, it was formed in the rage of 0.16 to 2.16 pC/min for 99mTc and 0.49 to 9.29 pC/min for 18F. In addition, the energy transfer coefficient calculated using the result was found to be similar to the measured value and the simulation value in the range of 0.240 to 0.260. Especially, when the measured data and the simulation value were compared, there was a difference is within 2%, so the reliability of the data was secured. In this study, the distribution of radiation generated from a source was calculated to quantitatively evaluate the internal dose by radioisotopes. It presented reliable results through comparative analysis of the measurement value and simulation value. Above all, it has a great significance to the point that it was presented by directly measuring the distribution of radiation in the human body.

The Evaluation of Failure Probability for Rock Slope Based on Fuzzy Set Theory and Monte Carlo Simulation (Fuzzy Set Theory와 Monte Carlo Simulation을 이용한 암반사면의 파괴확률 산정기법 연구)

  • Park, Hyuck-Jin
    • Journal of the Korean Geotechnical Society
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    • v.23 no.11
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    • pp.109-117
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    • 2007
  • Uncertainty is pervasive in rock slope stability analysis due to various reasons and subsequently it may cause serious rock slope failures. Therefore, the importance of uncertainty has been recognized and subsequently the probability theory has been used to quantify the uncertainty since 1980's. However, some uncertainties, due to incomplete information, cannot be handled satisfactorily in the probability theory and the fuzzy set theory is more appropriate for those uncertainties. In this study the random variable is considered as fuzzy number and the fuzzy set theory is employed in rock slope stability analysis. However, the previous fuzzy analysis employed the approximate method, which is first order second moment method and point estimate method. Since previous studies used only the representative values from membership function to evaluate the stability of rock slope, the approximated analysis results have been obtained in previous studies. Therefore, the Monte Carlo simulation technique is utilized to evaluate the probability of failure for rock slope in the current study. This overcomes the shortcomings of previous studies, which are employed vertex method. With Monte Carlo simulation technique, more complete analysis results can be secured in the proposed method. The proposed method has been applied to the practical example. According to the analysis results, the probabilities of failure obtained from the fuzzy Monte Carlo simulation coincide with the probabilities of failure from the probabilistic analysis.

A Technique for Selecting Quadrature Points for Dimension Reduction Method to Improve Efficiency in Reliability-based Design Optimization (신뢰성 기반 최적설계의 효율성 향상을 위한 차원감소법의 적분직교점 선정 기법)

  • Ha-Yeong Kim;Hyunkyoo Cho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.37 no.3
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    • pp.217-224
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    • 2024
  • This paper proposes an efficient dimension reduction method (DRM) that considers the nonlinearity of the performance functions in reliability-based design optimization (RBDO). The dimension reduction method evaluates the reliability more accurately than the first-order reliability method (FORM) using integration quadrature points and weights. However, its efficiency is hindered as the number of quadrature points increases owing to the need for an additional evaluation of the performance function. In this study, we assessed the nonlinearity of the performance function in RBDO and proposed criteria for determining the number of quadrature points based on the degree of nonlinearity. This approach suggests adjusting the number of quadrature points during each iteration of the RBDO process while maintaining the accuracy of theDRM while improving the computational efficiency. The nonlinearity of the performance function was evaluated using the angle between the vectors used in the maximum probable target point (MPTP) search. Numerical tests were conducted to determine the appropriate number of quadrature points according to the degree of nonlinearity. Through a 2D numerical example, it is confirmed that the proposed method improves the efficiency while maintaining the accuracy of the dimension reduction method or Monte Carlo Simulation (MCS).

Resistance Factor and Target Reliability Index Calculation of Static Design Methods for Driven Steel Pipe Pile in Gwangyang (광양지역에 적합한 항타강관말뚝의 목표신뢰성지수 및 저항계수 산정)

  • Kim, Hyeon-Tae;Kim, Daehyeon;Lim, Jae-Choon;Park, Kyung-Ho;Lee, Ik-Hyo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.12
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    • pp.8128-8139
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    • 2015
  • Recently, the necessity of developing the load and resistance factor design(LRFD) for soft ground improvement method has been raised, since the limit state design is requested as international technical standard for the foundation of structures. In this study, to develop LRFD codes for foundation structures in Korea, target reliability index and resistance factor for static bearing capacity of driven steel pipe piles were calibrated in the framework of reliability theory. The 16 data(in Gwangyang) and the 57 data(Korea Institute of Construction Technology, 2008) sets of static load test and soil property tests conducted in the whole domestic area were collected along with available subsurface investigation results. The resistance bias factors were evaluated for the tow static design methods by comparing the representative measured bearing capacities with the expected design values. Reliability analysis was performed by two types of advanced methods : the First Order Reliability Method (FORM), and the Monte Carlo Simulation (MCS) method using resistance bias factor statistics. As a result, when target reliability indices of the driven pipe pile were selected as 2.0, 2.33, 2.5, resistance factor of two design methods for SPT N at pile tip less than 50 were evaluated as 0.611~0.684, 0.537~0.821 respectively, and STP N at pile tip more than 50 were evaluated as 0.545~0.608, 0.643~0.749 respectively. The result from this research will be useful for developing various foundations and soil structures under LRFD.

Suggestions for Enhancing Sampling-Based Approach of Seismic Probabilistic Risk Assessment (샘플링기반 지진 확률론적 리스크평가 접근법 개선을 위한 제언)

  • Kwag, Shinyoung;Eem, Seunghyun;Choi, Eujeong;Ha, Jeong Gon;Hahm, Daegi
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.2
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    • pp.77-84
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    • 2021
  • A sampling-based approach was devised as a nuclear seismic probabilistic risk assessment (SPRA) method to account for the partially correlated relationships between components. However, since this method is based on sampling, there is a limitation that a large number of samples must be extracted to estimate the results accurately. Thus, in this study, we suggest an effective approach to improve the existing sampling method. The main features of this approach are as follows. In place of the existing Monte Carlo sampling (MCS) approach, the Latin hypercube sampling (LHS) method that enables effective sampling in multiple dimensions is introduced to the SPRA method. In addition, the degree of segmentation of the seismic intensity is determined with respect to the final seismic risk result. By applying the suggested approach to an actual nuclear power plant as an example, the accuracy of the results were observed to be almost similar to those of the existing method, but the efficiency was increased by a factor of two in terms of the total number of samples extracted. In addition, it was confirmed that the LHS-based method improves the accuracy of the solution in a small sampling region.

Distance Estimation Method using Enhanced Adaptive Fuzzy Strong Tracking Kalman Filter Based on Stereo Vision (스테레오 비전에서 향상된 적응형 퍼지 칼만 필터를 이용한 거리 추정 기법)

  • Lim, Young-Chul;Lee, Chung-Hee;Kwon, Soon;Lee, Jong-Hoon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.45 no.6
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    • pp.108-116
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    • 2008
  • In this paper, we propose an algorithm that can estimate the distance using disparity based on stereo vision system, even though the obstacle is located in long ranges as well as short ranges. We use sub-pixel interpolation to minimize quantization errors which deteriorate the distance accuracy when calculating the distance with integer disparity, and also we use enhanced adaptive fuzzy strong tracking Kalman filter(EAFSTKF) to improve the distance accuracy and track the path optimally. The proposed method can solve the divergence problem caused by nonlinear dynamics such as various vehicle movements in the conventional Kalman filter(CKF), and also enhance the distance accuracy and reliability. Our simulation results show that the performance of our method improves by about 13.5% compared to other methods in point of root mean square error rate(RMSER).

Stochastic Simulation of Groundwater Flow in Heterogeneous Formations: a Virtual Setting via Realizations of Random Field (불균질지층내 지하수 유동의 확률론적 분석 : 무작위성 분포 재생을 통한 가상적 수리시험)

  • Lee, Kang-Kun
    • Journal of the Korean Society of Groundwater Environment
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    • v.1 no.2
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    • pp.90-99
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    • 1994
  • Heterogeneous hydraulic conductivity in a flow domain is generated under the assumption that it is a random variable with a lognormal, spatially-correlated distribution. The hydraulic head and the conductivity in a groundwater flow system are represented as a stochastic process. The method of Monte Carlo Simulation (MCS) and the finite element method (FEM) are used to determine the statistics of the head and the logconductivity. The second moments of the head and the logconductivity indicate that the cross-covariance of the logconductivity with the head has characteristic distribution patterns depending on the properties of sources, boundary conditions, head gradients, and correlation scales. The negative cross-correlation outlines a weak-response zone where the flow system is weakly responding to a stress change in the flow domain. The stochastic approach has a potential to quantitatively delineate the zone of influence through computations of the cross-covariance distribution.

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Weighted Integral Method for an Estimation of Displacement COV of Laminated Composite Plates (복합적층판의 변위 변동계수 산정을 위한 가중적분법)

  • Noh, Hyuk-Chun
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.2
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    • pp.29-35
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    • 2010
  • In addition to the Young's modulus, the Poisson's ratio is also at the center of attention in the field stochastic finite element analysis since the parameters play an important role in determining structural behavior. Accordingly, the sole effect of this parameter on the response variability is of importance from the perspective of estimation of uncertain response. To this end, a formulation to determine the response variability in laminate composite plates due to the spatial randomness of Poisson's ratio is suggested. The independent contributions of random Poisson's ratiocan be captured in terms of sub-matrices which include the effect of the random parameter in the same order, which can be attained by using the Taylor's series expansion about the mean of the parameter. In order to validate the adequacy of the proposed formulation, several example analyses are performed, and then the results are compared with Monte Carlo simulation (MCS). A good agreement between the suggested scheme and MCS is observed showing the adequacy of the scheme.

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Probabilistic Strength Assessment of Ice Specimen considering Spatial Variation of Material Properties (물성치의 공간분포를 고려한 빙 시험편의 확률론적 강도평가)

  • Kim, Hojoon;Kim, Yooil
    • Journal of the Society of Naval Architects of Korea
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    • v.57 no.2
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    • pp.80-87
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    • 2020
  • As the Arctic sea ice decreases due to various reasons such as global warming, the demand for ships and offshore structures operating in the Arctic region is steadily increasing. In the case of sea ice, the anisotropy is caused by the uncertainty inside the material. For most of the research, nevertheless, estimating the ice load has been treated deterministically. With regard to this, in this paper, a four-point bending strength analysis of an ice specimen was attempted using a stochastic finite element method. First, spatial distribution of the material properties used in the yield criterion was assumed to be a multivariate Gaussian random field. After that, a direct method, which is a sort of stochastic finite element method, and a sensitivity method using the sensitivity of response for random variables were proposed for calculating the probabilistic distribution of ice specimen strength. A parametric study was conducted with different mean vectors and correlation lengths for each material property used in the above procedure. The calculation time was about ten seconds for the direct method and about three minutes for the sensitivity methods. As the cohesion and correlation length increased, the mean value of the critical load and the standard deviation increased. On the contrary, they decreased as the friction angle increased. Also, in all cases, the direct and sensitivity methods yielded very similar results.