• Title/Summary/Keyword: 비선형 계수 추정

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Estimation of Variability for Complex Modulus of Rubber Considering Temperature and Material Uncertainties (온도와 물성의 불확실성을 고려한 고무의 복소계수 변동성 평가)

  • Lee, Doo-Ho;Hwang, In-Sung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.362-365
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    • 2011
  • 본 논문에서는 통계적인 방법을 이용하여 점탄성 제진재인 합성고무의 물성에 대한 변동성을 평가하는 방법을 제안하고 측정데이터를 이용하여 합성고무에 대한 평가를 수행하였다. 고무 물성의 불확실성 인자로는 외기 온도의 변화와 실험 데이터의 오차 및 점탄성 제진모델의 오차를 고려하였다. 고무는 분수차 미분 모델로 표현되었고 온도의 영향은 비선형 이동계수모델을 도입하여 복소계수로 나타내어 동강성과 감쇠를 표현하였다. 이러한 물성모델을 바탕으로 고무에 대한 물성 실험데이터와 물성계수의 확률밀도함수 사이에 정의된 우도함수를 최대화하는 통계적 보정방법을 이용하여 물성모델의 물질계수들에 대한 변동성을 추정하였다.

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헤도닉 가격모형의 함수형태 - 시장특성을 감안한 변환함수들의 적용 및 검증 -

  • Heo, Se-Rim;Gwak, Seung-Jun
    • Environmental and Resource Economics Review
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    • v.5 no.2
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    • pp.291-302
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    • 1996
  • 환경질 개선의 편익추정에 사용되는 헤도닉 가격모형에서 제1단계 헤도닉 함수 추정시 그 함수형태에 따라 결과가 편의를 가질 수 있다. 본 논문에서는 13가지의 각기 다른 비선형 및 선형 헤도닉 함수 등을 한국 주택시장에 적용하여 그 적합성을 이론 및 실증적 방법을 병행하여 검증하였다. 그 결과, 고전적으로 종속변수만을 변환시키는 Box-Cox 함수형태나 Box-Cox 변형계수가 사전적으로 0과 1사이에 있음을 가정하는 오목한(concave) 한 함수형태가 기존 연구와는 달리 한국시장에는 적합한 함수형태가 아니라는 결과를 이끌어 냈다. 나아가 서울 주택시장에 가장 적합한 함수형태는 종속 및 독립변수를 각각 다르게 변환시키는 헤도닉 함수형태임을 보여 주었다. 아울러 본 연구는 간접적으로 헤도닉 가격모형 적용시 그 지역의 주택시장 특성에 관한 연구가 선행되어야 함을 시사하고 있다.

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A Study of the Nonlinear Characteristics Improvement for a Electronic Scale using Multiple Regression Analysis (다항식 회귀분석을 이용한 전자저울의 비선형 특성 개선 연구)

  • Chae, Gyoo-Soo
    • Journal of Convergence for Information Technology
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    • v.9 no.6
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    • pp.1-6
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    • 2019
  • In this study, the development of a weight estimation model of electronic scale with nonlinear characteristics is presented using polynomial regression analysis. The output voltage of the load cell was measured directly using the reference mass. And a polynomial regression model was obtained using the matrix and curve fitting function of MS Office Excel. The weight was measured in 100g units using a load cell electronic scale measuring up to 5kg and the polynomial regression model was obtained. The error was calculated for simple($1^{st}$), $2^{nd}$ and $3^{rd}$ order polynomial regression. To analyze the suitability of the regression function for each model, the coefficient of determination was presented to indicate the correlation between the estimated mass and the measured data. Using the third order polynomial model proposed here, a very accurate model was obtained with a standard deviation of 10g and the determinant coefficient of 1.0. Based on the theory of multi regression model presented here, it can be used in various statistical researches such as weather forecast, new drug development and economic indicators analysis using logistic regression analysis, which has been widely used in artificial intelligence fields.

A study on change-points in simple linear regression (단순선형회귀에서의 변화점에 대한 연구)

  • 정광모;한미혜
    • The Korean Journal of Applied Statistics
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    • v.5 no.1
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    • pp.29-39
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    • 1992
  • A testing and estimation procedure is considered for changes at unknown time point in simple linear regression model. A test statistic of quadratic form is suggested. We also discuss the asymptotic distribution and its level control. The proposed method is compared with the likelihood ratio test through a example.

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Evaluation of CPTu Cone Factors for Busan Clay Using Pore Pressure Ratio (간극수압비를 이용한 부산점토의 CPTu 콘계수 추정)

  • Hong, Sung-Jin;Lee, Moon-Joo;Kim, Tai-Jun;Lee, Woo-Jin
    • Journal of the Korean Geotechnical Society
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    • v.25 no.1
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    • pp.77-88
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    • 2009
  • Cone factors, $N_{kt}$, $N_{ke}$ and $N_{{\Delta}u}$, for estimating undrained shear strength of Busan clay are evaluated in this study. For this, CPTu and field vane tests are performed for clay layers at two sites, Busan new-port and Noksan, and also $CK_0U$ triaxial tests with undisturbed samples taken from the same site are carried out. From experimental results, it is observed that the undrained shear strengths of clay increases with depth, and the undrained shear strength obtained from triaxial tests is 1.5 times higher than one obtained from vane tests. The normalized undrained shear strengths of Busan clay from triaxial and vane shear tests are $0.26{\sim}0.44$ and $0.20{\sim}0.23$, respectively. In CPTu results, cone tip resistance ($q_c$) and pore pressure ($u_2$) linearly increase with depth, and the pore pressure ratio ($B_q$) of Busan clay is within the range of $0.3{\sim}1.0$. The cone factors, which are determined by comparing the CPTu results with $CK_0U$ triaxial and vane shear test results, are found to be $5{\sim}20$ and $10{\sim}35$, respectively. It is also observed that the cone factors are inversely proportional to the pore pressure ratio. From this, the prediction methods for evaluating the cone factors of Busan clay are developed.

Measurements of Permeability Characteristics for Unsaturated Weathered Soils (불포화 풍화토의 투수특성 측정)

  • Ryu, Ji-Hyeop
    • Journal of Korea Water Resources Association
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    • v.33 no.1
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    • pp.133-142
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    • 2000
  • Series of tests were carried out to study permeability characteristics of unsaturated soils. The weathered soils taken from Inju, Sungwhan, and Kuri, were selected to have different amount of fine grained soils in order to find a possible correlation between the unsaturated permeability behavior and fine grained soils contents. Measurements of permeability for unsaturated soils were performed with a newly developed apparatus, which modeled after Klute's apparatus(1965a). The apparatus was designed to measure volumetric water content and permeability by applying incremental suction pressure. Permeability and volumetric water content of unsaturated soils generally decreased as density of the soil increased. The relationship between volumetric water content and permeability was not related to the fine grained soils contents because the plots scattered widely. By comparing volumetric water content with permeability, empirical parameters A and B could be determined, which made to be possible to predict unsaturated permeability from soil-moisture characteristics.

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Sensitivity Analysis of PRMS Model Parameters (PRMS 모형의 매개변수 민감도 분석)

  • Kim, Kwang-Cheon;Jeong, Il-Won;Bae, Deg-Hyo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.623-627
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    • 2005
  • 유역의 유출특성을 정확히 분석하기 위해서는 모형에 내재된 매개변수의 적정한 추정이 필수적이나 정확한 측정이 불가능한 변수들의 최적해를 결정하는 것은 어려운 일이다. 본 연구에서는 괴산댐유역을 적용대상 유역으로 PRMS 모형의 최적 매개변수를 평가하고, 추정난해 매개변수 9개에 대한 민감도 분석을 수행함으로서 각 매개변수에 따른 결과의 불확실성과 유출특성에 미치는 영향을 분석하여 향후 정도 높은 매개변수 추정에 활용하고자 하였다. 연구결과 지표면유출 관련인자는 지표면-지표하유출량을 변화시키므로 유출특성에 큰 영향을 미치는 것으로 나타났다. 또한 지표하유출 관련 매개변수들은 비선형계수가 작아져 유출이 선형적으로 고려될 때 수문곡선에 영향을 주는 것으로 판명되었다. 한편 지하수유출 관련 계수는 지하수유출이 발생하는 경우 영향을 미치지 않는 것으로 나타났고, 지표하저수지에서 지하수유출을 발생시키는 매개변수는 크게 민감하지 않은 것으로 판명되었다. 그리고 토양대에서 지하수저수지로의 유입 관련 매개변수는 유출을 지연시키는 효과를 보였고 증발산을 조절하는 매개변수는 유출용적에만 영향을 미치는 것으로 판명되었다.

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The Heterogeneity of Flow Distribution and Partition Coefficient in [15O-H2O] Myocardium Positron Emission Tomography ([15O-H2O] 심근 양전자 단층 촬영에서 혈류 분포의 비균일성과 분배계수)

  • Ahn, Ji Young;Lee, Dong Soo;Kim, Kyung Min;Jeong, Jae Min;Chung, June-Key;Shin, Seung-Ae;Lee, Myung Chul;Koh, Chang-Soon
    • The Korean Journal of Nuclear Medicine
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    • v.32 no.1
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    • pp.32-49
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    • 1998
  • For estimation of regional myocardial blood flow with O-15 water PET, a few modifications considering partial volume effect based on single compartment model have been proposed. In this study, we attempted to quantify the degree of heterogeneity and to show the effect of tissue flow heterogeneity on partition coefficient(${\lambda}$) and to find the relation between perfusable tissue index(PTI) and ${\lambda}$ by computer simulation using two modified models. We simulated tissue curves for the regions with homogeneous and heterogeneous blood flow over a various flow range(0.2-4.0ml/g/min). Simulated heterogeneous tissue composed of 4 subregions of the same or different size of block which have different homogeneous flow and different degree of slope of distribution of blood flow. We measured the index representing heterogeneity of distribution of blood flow for each heterogeneous tissue by the constitution heterogeneity(CH). For model I, we assumed that tissue recovery coefficient ($F_{MME}$) was the product of partial volume effect($F_{MMF}$) and PTI. Using model I, PTI, flow, and $F_{MM}$ were estimated. For model II, we assumed that partition coefficient was another variable which could represent tissue characteristics of heterogeneity of flow distribution. Using model II, PTI, flow and ${\lambda}$ were estimated. For the simulated tissue with homogeneous flow, both models gave exactly the same estimates, of three parameters. For the simulated tissue with heterogeneous flow distribution, in model I, flow and $F_{MM}$ were correctly estimated as CH was increased moderately. In model II, flow and ${\lambda}$ were decreased curvi-linearly as CH was increased. The degree of underestimation of ${\lambda}$ obtained using model II, was correlated with CH. The degree of underestimation of flow was dependent on the degree of underestimation of ${\lambda}$. PTI was somewhat overestimated and did not change according to CH. We conclude that estimated ${\lambda}$ reflect the degree of tissue heterogeneity of flow distribution. We could use the degree of underestimation of ${\lambda}$ to find the characteristic heterogeneity of tissue flow and use ${\lambda}$ to recover the underestimated flow.

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Evaluation of the Nonlinearity Parameter in Unbound Material for Asphalt Concrete Pavement using Field-NDT Equipment (현장 도로평가장비를 이용한 입상재료층의 비선형 재료상수 추정에 관한 연구)

  • Seo, Joo Won;Choi, Jun Seong;Kim, Soo Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.2D
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    • pp.227-234
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    • 2008
  • This study examines which models are more suitable for representing mechanical property of unbound materials to analyze behavior of asphalt pavement structure. Results from FWD (Falling Weight Deflectometer) test were used to apply to nonlinear elastic model. The new method which can deduct material constants of nonlinear elastic model is suggested from FWD test data rather than laboratory resilient modulus ($M_R$) test. It is confirmed that the material constants are within the common range in subbase. Test output from FWD and MDD (Multi-Depth Deflectometer) was used to verify reliability of the model. From the results of verification, this study shows that a non-linear elastic model agrees to MDD test data more than a linear elastic model does.

Damage Estimation of Bridge Structures Using System Identification (동특성추정법을 이용한 교량구조물의 손상도 추정)

  • 김원종;강용중
    • Computational Structural Engineering
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    • v.6 no.2
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    • pp.71-78
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    • 1993
  • A method to estimate damage of bridge structures is developed using system identification approach. Dynamic behavior of damaged structures is represented by a non-linear hysteretic moment model. Structural properties can be evaluated through system identification. To incorporate variability of the structural properties and uncertainties of structural response, damage is represented as random quantities. Numerical example is shown for the bridge structure under different ground excitation.

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