• Title/Summary/Keyword: Differential equation

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Modeling Framework for Continuous Dynamic Systems Using Machine Learning of Hypothetical Model (가설적 모델의 기계학습을 이용한 연속시간 동적시스템 모델링 프레임워크)

  • Hae Sang Song;Tag Gon Kim
    • Journal of the Korea Society for Simulation
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    • v.32 no.1
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    • pp.13-21
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    • 2023
  • This paper proposes a method of automatically generating a model through a machine learning technique by setting a hypothetical model in the form of a gray box or black box with unknown parameters, when the big data of the actual system is given. We implements the proposed framework and conducts experiments to find an appropriate model among various hypothesis models and compares the cost and fitness of them. As a result we find that the proposed framework works well with continuous systems that could be modeled with ordinary differential equation. This technique is expected to be used well for the purpose of automatically updating the consistency of the digital twin model or predicting the output for new inputs using recently generated big data.

Required Time for Isotopic and Ko Consolidation of Marine Clay in Triaxial Cell (삼축셀에서 해성점토의 등방 및 Ko 압밀소요 시간)

  • Lee, Kyeong-Jun;Jung, Du-Hwoe;Im, Jong-Chul
    • Journal of the Korean Geotechnical Society
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    • v.23 no.8
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    • pp.137-147
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    • 2007
  • Isotropic (instant loading) and Ko (gradual increase loading) consolidation tests were conducted in triaxial test equipment using cylindrical sample (5.0 cm in diameter and 10.0 cm in height) on two marine clay deposits. The duration of primary consolidation was estimated by two curve fitting methods using measured strain. A differential equation of consolidation for drainage in the radial and vertical direction was solved by the implicit finite difference scheme. The results of two curve fitting methods were compared with the numerical solutions to evaluate the appropriate axial loading rate of Ko consolidation and the primary consolidation periods. In addition, primary consolidation periods of the samples with a diameter of 35 mm and a height of 70 mm were calculated. The relation of radial and vertical consolidation coefficients is also presented.

Ideal body modeling of porous rock by frost-thawing (다공질암의 동결융해 현상에 대한 이상물체 모델의 적용성 연구)

  • Han, Heui-Soo;Back, Yoog
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.12 no.5
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    • pp.399-405
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    • 2010
  • The accumulated displacements and fatigues of rock are increased by the stress-hysteresis, induced from repeated frost-thawing. Also the shear strength is decreased by them continuously. The stress-hysteresis is affected by the atmospheric temperature changes, whose behavior is visco-elasticity, usually. Therefore, to do ideal body analysis, Kelvin model could be used to analyze the frost-thawing behavior in winter. In general, rock slope failure occurs by the deterioration of rocks, which is caused by the repetition of freezing-thawing process. In order to keep the safety of such rock mass structures the deterioration process of rock needs to be described quantitatively using some meaningful parameters. In this work, the deterioration process in freezing-thawing cycle of tuff, which is a famous soft porous rock, is investigated through laboratory tests and successfully described as a differential equation for the change of porosity. And then, the deterioration of the mechanical properties of rock, such as Young's modulus and uniaxial compressive strength, are quantitatively described as a function of the porosity.

Analysis of the Existing Analytical Solutions for Isotropic Rectangular Thin Elastic Plates with Three Edges Clamped and the Other Free (등방성 직사각형의 3변 고정 1변 자유 얇은 탄성판에 대한 기존 해석해의 분석)

  • Seo, Seung-Nam
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.117-132
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    • 2006
  • The existing analytical solutions for rectangular plates with three edges clamped and the other free are derived based on nondimensional differential equation and their characteristics are analyzed. Since Timoshenko and Woinowsky-Krieger's method (1959) can give solutions for the case limited to the aspect ratio of the plates less than one, this method are proved to be impractical for the bending moment calculation of the plates under consideration. Horii and Moto's method(1968) are modified by adding stabilizing terms to suppress overflow in the matrix computation, from which the series solution with maximum 150 terms can be obtained. By use of the series solution the convergence of computed bending moments is tested. The modified method can be shown to calculate the deflection properties for the plates with wide range of aspect ratios, but the computed x moment at the corner points formed by the free edge and the clamped edges can not satisfy the boundary condition and the cause of problem is discussed in detail.

An integral quasi-3D computational model for the hygro-thermal wave propagation of imperfect FGM sandwich plates

  • Abdelouahed Tounsi;Saeed I. Tahir;Mohammed A. Al-Osta;Trinh Do-Van;Fouad Bourada;Abdelmoumen Anis Bousahla;Abdeldjebbar Tounsi
    • Computers and Concrete
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    • v.32 no.1
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    • pp.61-74
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    • 2023
  • This article investigates the wave propagation analysis of the imperfect functionally graded (FG) sandwich plates based on a novel simple four-variable integral quasi-3D higher-order shear deformation theory (HSDT). The thickness stretching effect is considered in the transverse displacement component. The presented formulation ensures a parabolic variation of the transverse shear stresses with zero-stresses at the top and the bottom surfaces without requiring any shear correction factors. The studied sandwich plates can be used in several sectors as areas of aircraft, construction, naval/marine, aerospace and wind energy systems, the sandwich structure is composed from three layers (two FG face sheets and isotropic core). The material properties in the FG faces sheet are computed according to a modified power law function with considering the porosity which may appear during the manufacturing process in the form of micro-voids in the layer body. The Hamilton principle is utilized to determine the four governing differential equations for wave propagation in FG plates which is reduced in terms of computation time and cost compared to the other conventional quasi-3D models. An eigenvalue equation is formulated for the analytical solution using a generalized displacements' solution form for wave propagation. The effects of porosity, temperature, moisture concentration, core thickness, and the material exponent on the plates' dispersion relations are examined by considering the thickness stretching influence.

A Study of Paths of the Effects of Adolescents' Part-time Work Experiences on Mild and Serious Delinquency (청소년 아르바이트 경험이 경비행 및 중비행에 영향을 미치게 되는 경로 탐색)

  • Kim, Ye-sung;Kim, Sun-suk
    • Korean Journal of Social Welfare Studies
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    • v.40 no.1
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    • pp.139-161
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    • 2009
  • The purpose of this study was to investigate the paths of the related variables that exert an influence upon the increase in mild and serious delinquencies of part-time work adolescents. Based on differential association theory, social control theory and power resource theory, the research model was composed and analyzed through structural equation model. Data came from survey which was done by fifteen high schools located in Seoul, and 201 questionnaire of returned were used for analysis. The results were congruent with theoretical expectations. The relationship between work hour per week and delinquency was mediated by delinquent propensity of fellow workers, amount of spending money and school adjustment. In conclusion, various theoretical and practical implications for social work practice focusing on the part time work students were discussed. Enforcement of regulation and revision of current law and various ways for helping and supervising working students in school, family and working places are needed.

The Effect of Korean Company Image on the Chinese Consumers' Evaluation of Korean products and Behavioral Responses -In terms of Beijing region and Samsung/Nongshim product- (한국기업 이미지가 중국 소비자들의 한국제품 평가 및 행위적 반응에 미치는 영향 -북경지역과 삼성/농심제품을 중심으로-)

  • Yoon, Seong-Hwan
    • International Area Studies Review
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    • v.13 no.1
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    • pp.189-217
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    • 2009
  • This study is to learn if and how company-consumer identification in regard of Chinese consumers influences the consumers' behavioral responses with their evaluation on Korean products. To be learned also is differential influences on company-consumer identification generated by two different factors of corporate image, which are corporate ability and corporate social responsibility, through Structural Equation Modeling. The results obtained by actual analysis are as follows. First, both corporate ability and corporate social responsibility turn out to be positively influential on company-consumer identification. Second, the company-consumer identification as to the Korean companies displayed by Chinese consumers induces positive influences on Korean products, which in turn induces positive influences on Chinese consumers' behavioral responses. These results suggest that in the future the Korean companies already settled in China not only need to enhance corporate ability but also have to give efforts on corporate social responsibility in order to improve their continuous and long-term relationship with Chinese consumers.

The Effects of Customer Citizenship Behavior and Badness Behavior on Perceived Service Quality, Customer Satisfaction, and Repurchase Intention (고객시민행동과 고객불량행동이 서비스품질지각과 고객만족 및 재구매의도에 미치는 영향)

  • Yi, Youjae;Gong, Taeshik
    • Asia Marketing Journal
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    • v.7 no.3
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    • pp.1-27
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    • 2005
  • This study investigated the effects of two types of customer extra-role behavior (citizenship and badness behavior) on perceived service quality, customer satisfaction, and repurchase intention. The model was tested with a sample of sports center customers by using structural equation modeling. The findings supported the effects of customer citizenship and badness behavior, and all structural path coefficients were significant. However, the differential effects of customer citizenship and badness behavior on perceived service quality were not significant. Lastly, perceived service quality fully mediated the effects of customer citizenship and badness behavior on customer satisfaction and repurchase intention. The results of the present study demonstrate that service organizations need to manage all two types of customer behavior. Further, it provides new insights into the relationships among customer's extra-role behavior, customer satisfaction, and repurchase intention.

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Circularity Index on Contrast-Enhanced Computed Tomography Helps Distinguish Fat-Poor Angiomyolipoma from Renal Cell Carcinoma: Retrospective Analyses of Histologically Proven 257 Small Renal Tumors Less Than 4 cm

  • Hye Seon Kang;Jung Jae Park
    • Korean Journal of Radiology
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    • v.22 no.5
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    • pp.735-741
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    • 2021
  • Objective: To evaluate circularity as a quantitative shape factor of small renal tumor on computed tomography (CT) in differentiating fat-poor angiomyolipoma (AML) from renal cell carcinoma (RCC). Materials and Methods: In 257 consecutive patients, 257 pathologically confirmed renal tumors (either AML or RCC less than 4 cm), which did not include visible fat on unenhanced CT, were retrospectively evaluated. A radiologist drew the tumor margin to measure the perimeter and area in all the contrast-enhanced axial CT images. In each image, a quantitative shape factor, circularity, was calculated using the following equation: 4 x π x (area ÷ perimeter2). The median circularity (circularity index) was adopted as a representative value in each tumor. The circularity index was compared between fat-poor AML and RCC, and the receiver operating characteristic (ROC) curve analysis was performed. Univariable and multivariable binary logistic regression analysis was performed to determine the independent predictor of fat-poor AML. Results: Of the 257 tumors, 26 were AMLs and 231 were RCCs (184 clear cell RCCs, 25 papillary RCCs, and 22 chromophobe RCCs). The mean circularity index of AML was significantly lower than that of RCC (0.86 ± 0.04 vs. 0.93 ± 0.02, p < 0.001). The mean circularity index was not different between the subtypes of RCCs (0.93 ± 0.02, 0.92 ± 0.02, and 0.92 ± 0.02 for clear cell, papillary, and chromophobe RCCs, respectively, p = 0.210). The area under the ROC curve of circularity index was 0.924 for differentiating fat-poor AML from RCC. The sensitivity and specificity were 88.5% and 90.9%, respectively (cut-off, 0.90). Lower circularity index (≤ 0.9) was an independent predictor (odds ratio, 41.0; p < 0.001) for predicting fat-poor AML on multivariable logistic regression analysis. Conclusion: Circularity is a useful quantitative shape factor of small renal tumor for differentiating fat-poor AML from RCC.

A study on transport and plugging of sodium aerosol in leak paths of concrete blocks

  • Sujatha Pavan Narayanam;Soubhadra Sen;Kalpana Kumari;Amit Kumar;Usha Pujala;V. Subramanian;S. Chandrasekharan;R. Preetha;B. Venkatraman
    • Nuclear Engineering and Technology
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    • v.56 no.1
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    • pp.132-140
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    • 2024
  • In the event of a severe accident in Sodium Cooled Fast Reactors (SFR), the sodium combustion aerosols along with fission product aerosols would migrate to the environment through leak paths of the Reactor Containment Building (RCB) concrete wall under positive pressure. Understanding the characteristics of sodium aerosol transport through concrete leak paths is important as it governs the environmental source term. In this context, experiments are conducted to study the influence of various parameters like pressure, initial mass concentration, leak path diameter, humidity etc., on the transport and deposition of sodium aerosols in straight leak paths of concrete. The leak paths in concrete specimens are prepared by casting and the diameter of the leak path is measured using thermography technique. Aerosol transport experiments are conducted to measure the transported and plugged aerosol mass in the leak paths and corresponding plugging times. The values of differential pressure, aerosol concentration and relative humidity taken for the study are in the ranges 10-15 kPa, 0.65-3.04 g/m3 and 30-90% respectively. These observations are numerically simulated using 1-Dimensional transport equation. The simulated values are compared with the experimental results and reasonable agreement among them is observed. From the safety assessment view of reactor, the approach presented here is conservative as it is with straight leak paths.