• 제목/요약/키워드: third-order polynomial model

검색결과 28건 처리시간 0.02초

Development of a Real-Time Soil Moisture Meter using Oscillation Frequency Shift Method

  • Kim, Ki-Bok;Lee, Nam-Ho;Lee, Jong-Whan;Lee, Seoung-Seok;Noh, Sang-Ha
    • Agricultural and Biosystems Engineering
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    • 제2권2호
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    • pp.63-68
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    • 2001
  • The objective of this study was to develop a real-time soil moisture meter using RF impedance. The impedance suchas capacitance and resistance (or conductance) was analyzed using parallel cylinder type capacitance probe(C-probe) and Q-meter (HP4342). The capacitance and conductance of soil increased as volumetric water content increased. The 5 MHz of modified Colpitts type crystal oscillator was designed to detect the capacitance change of the C-probe with moist soil. A third order polynomial regression model was proposed to describe the relationship between RF impedance and volumetric water content. The prototype real time moisture meter consisted of the C-probe, sample container, oscillator, frequency counter and related signal processing units. The calibration equation for measurement of volumetric moisture content of soil was developed and validated. The correlation coefficient and root mean square error between measured volumetric water content by oven method and predicted values by prototype moisture meter for unknown soil samples were 0.984 and 0.032$cm^3$$cm\^3$, respectively.

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Isogeometric Collocation Method to solve the strong form equation of UI-RM Plate Theory

  • Katili, Irwan;Aristio, Ricky;Setyanto, Samuel Budhi
    • Structural Engineering and Mechanics
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    • 제76권4호
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    • pp.435-449
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    • 2020
  • This work presents the formulation of the isogeometric collocation method to solve the strong form equation of a unified and integrated approach of Reissner Mindlin plate theory (UI-RM). In this plate theory model, the total displacement is expressed in terms of bending and shear displacements. Rotations, curvatures, and shear strains are represented as the first, the second, and the third derivatives of the bending displacement, respectively. The proposed formulation is free from shear locking in the Kirchhoff limit and is equally applicable to thin and thick plates. The displacement field is approximated using the B-splines functions, and the strong form equation of the fourth-order is solved using the collocation approach. The convergence properties and accuracy are demonstrated with square plate problems of thin and thick plates with different boundary conditions. Two approaches are used for convergence tests, e.g., increasing the polynomial degree (NELT = 1×1 with p = 4, 5, 6, 7) and increasing the number of element (NELT = 1×1, 2×2, 3×3, 4×4 with p = 4) with the number of control variable (NCV) is used as a comparable equivalent variable. Compared with DKMQ element of a 64×64 mesh as the reference for all L/h, the problem analysis with isogeometric collocation on UI-RM plate theory exhibits satisfying results.

Models for Estimating Genetic Parameters of Milk Production Traits Using Random Regression Models in Korean Holstein Cattle

  • Cho, C.I.;Alam, M.;Choi, T.J.;Choy, Y.H.;Choi, J.G.;Lee, S.S.;Cho, K.H.
    • Asian-Australasian Journal of Animal Sciences
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    • 제29권5호
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    • pp.607-614
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    • 2016
  • The objectives of the study were to estimate genetic parameters for milk production traits of Holstein cattle using random regression models (RRMs), and to compare the goodness of fit of various RRMs with homogeneous and heterogeneous residual variances. A total of 126,980 test-day milk production records of the first parity Holstein cows between 2007 and 2014 from the Dairy Cattle Improvement Center of National Agricultural Cooperative Federation in South Korea were used. These records included milk yield (MILK), fat yield (FAT), protein yield (PROT), and solids-not-fat yield (SNF). The statistical models included random effects of genetic and permanent environments using Legendre polynomials (LP) of the third to fifth order (L3-L5), fixed effects of herd-test day, year-season at calving, and a fixed regression for the test-day record (third to fifth order). The residual variances in the models were either homogeneous (HOM) or heterogeneous (15 classes, HET15; 60 classes, HET60). A total of nine models (3 orders of $polynomials{\times}3$ types of residual variance) including L3-HOM, L3-HET15, L3-HET60, L4-HOM, L4-HET15, L4-HET60, L5-HOM, L5-HET15, and L5-HET60 were compared using Akaike information criteria (AIC) and/or Schwarz Bayesian information criteria (BIC) statistics to identify the model(s) of best fit for their respective traits. The lowest BIC value was observed for the models L5-HET15 (MILK; PROT; SNF) and L4-HET15 (FAT), which fit the best. In general, the BIC values of HET15 models for a particular polynomial order was lower than that of the HET60 model in most cases. This implies that the orders of LP and types of residual variances affect the goodness of models. Also, the heterogeneity of residual variances should be considered for the test-day analysis. The heritability estimates of from the best fitted models ranged from 0.08 to 0.15 for MILK, 0.06 to 0.14 for FAT, 0.08 to 0.12 for PROT, and 0.07 to 0.13 for SNF according to days in milk of first lactation. Genetic variances for studied traits tended to decrease during the earlier stages of lactation, which were followed by increases in the middle and decreases further at the end of lactation. With regards to the fitness of the models and the differential genetic parameters across the lactation stages, we could estimate genetic parameters more accurately from RRMs than from lactation models. Therefore, we suggest using RRMs in place of lactation models to make national dairy cattle genetic evaluations for milk production traits in Korea.

반응표면방법론에서의 강건한 실험계획 (A Robust Design of Response Surface Methods)

  • 임용빈;오만숙
    • 응용통계연구
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    • 제15권2호
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    • pp.395-403
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    • 2002
  • 반응표면방법론에서의 세번째 단계에서는 일차모형이 가정되고, 반응표면의 곡선효과는 중앙점과 2수준 부분실시법에서의 실험을 통해서 검토된다. 참모형이 2차 모형인 경우를 가정하자. 최적실험계획을 선택하기 위해서 Box와 Draper(1959)는 관심영역에서 예측치 y(x)의 평균제곱오차를 적분한 값인 가중평균제곱오차(AMSE)를 최소화 시키는 최적실험계획 기준을 제안하였다. AMSE는 예측치의 가중분산과 가중제곱편의 량의 합으로 분할될 수 있다. AMSE는 실험계획 적률과 참모형의 회귀계수들의 값에 종속되어서 가중평균제곱오차를 최 소화하는 실험 계획을 찾기는 불가능하다. 실용적인 대안으로 Box와 Draper(1959)는 가중제곱편의 량을 최소화하는 실험계획을 제안했고, 이 실험계획의 상자점들이 중앙점을 향해서 축소됨을 보였다. 이 논문에서는 표준화된 회귀계수들의 값에 대해서 실험계획의 최소효율을 최대화하는 강건한 실험계획을 제안한다.

Models Describing Growth Characteristics of Holstein Dairy Cows Raised in Korea

  • Vijayakumar, Mayakrishnan;Choy, Yun-Ho;Kim, Tae-Il;Lim, Dong-Hyun;Park, Seong-Min;Alam, Mahboob;Choi, Hee-Chul;Ki, Kwang-Seok;Lee, Hyun-Jeong
    • 한국초지조사료학회지
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    • 제40권3호
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    • pp.167-176
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    • 2020
  • The objective of the present study was to determine the best model to describe and quantify the changes in live body weight, height at withers, height at rump, body length and chest girth of Holstein cows raised under Korean feeding conditions for 50 months. The five standard growth models namely polynomial linear regression models, regression of growth variables on the first and second-order of ages in days (model 1) and regression of growth variables on age covariates from first to the third-order (model 2) as well as non-linear models were fitted and evaluated for representing growth pattern of Holstein cows raised in Korean feeding circumstances. Nonlinear models fitted were three exponential growth curve models; Brody, Gompertz, and von Bertalanffy functional models. For this purpose, a total of 22 Holstein cows raised in Korea used in the period from April 2016 to May 2020. Each model fitted to monthly growth curve records of dairy cows by using PROC NLIN procedure in SAS program. On the basis of the results, nonlinear models showed the lower root mean square of error (RMSE) for live body weight, height at withers, height at rump, body length and chest girth (12.22, 1.95, 1.55, 4.04, 2.06) with higher correlation coefficiency (R2) values for live body weight, height at withers, height at rump, body length and chest girth (0.99, 0.99, 0.99, 1.00, 1.00). Overall, the evaluation of the different growth models indicated that the Gompertz model used in the study seemed to be the most appropriate one for standard growth of Holstein cows raised under Korean feeding system.

수치해석기반의 동적 p-y 곡선 산정 (Evaluation of Dynamic p-y Curve Based on the Numerical Analysis)

  • 박정식;정상섬
    • 한국지반공학회논문집
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    • 제33권12호
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    • pp.59-73
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    • 2017
  • 3차원 유한요소 프로그램(PLAXIS 3D)를 이용한 수치해석을 통하여 동적표면하중 하에서지반-말뚝 구조물의 상호작용을 평가하였다. 수치해석에 의한 진동대 실험 형태의 하중조건 및 지반시스템에 대한 동적 p-y곡선을 산정하고 이를 통하여 말뚝-지반의 조건, 말뚝의 선단부 조건, 재하조건 등을 고려하여 매개변수 연구를 하였다. 그 결과 주파수 1.4Hz 입력 진동수가 모형 말뚝-지반 시스템의 고유진동수 1.4Hz와 거의 일치하여 공진 현상이 발생하여서 다른 진동수의 결과와 비교시 다른 p, y 값을 보이고 있다. P-y 곡선에서 이를 대표할 수 있는 경향선을 나타내는 3차 다항함수로 표현하여 결과를 정리하였다. 특히 단독 말뚝의 경우 지배적인 곡선의 형태가 수학적인 증명을 통해 타원(ellipse)임을 밝혀냈다. P-y곡선의형태가 타원인 경우는 타원 방정식을 직접 지반-구조물의 동적설계나 해석에 이용하는 것이 바람직하다고 판단된다.

차세대 고속철 통과 교량의 동적특성에 대한 수치해석 (Numerical Analysis for Dynamic Characteristics of Next-Generation High-Speed Railway Bridge)

  • 오순택;이동준;이성태;정병준
    • 한국구조물진단유지관리공학회 논문집
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    • 제26권2호
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    • pp.9-17
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    • 2022
  • 차세대 고속철은 주행 속도가 점점 증가하므로 이를 반영한 고속철 차량 통과교량에 대한 새로운 주행 안정성의 평가가 요구된다. 이를 위하여 현재 공용 중인 경부 고속철 구간의 대표 교량형식인 PSC (Pre-stressed Concrete) 박스거더 교량을 대상으로 관성질량을 고려한 38-자유도 차량과 궤도 불규칙성과 상호 작용력을 반영하여 모형화하였으며, 고속철 차량 주행속도 별로 동적 수치해석을 수행하여 주행 안정성을 평가하였다. 수치해석을 통해 단순교와 2 경간 연속교의 최대 수직 변위와 DAF (Dynamic Amplification Factor; 동적확대계수)를 산출하여 동적 안정성 여부를 판단하였으며, 또한 주행 속도 별 최대 수직 변위를 추정하기 위한 3차 다항 회귀 분석식을 제안하였다. 대표적인 주행 속도와 횡 단면 위치 별 수직 변위 차이를 비교하고, 종 방향 최대 면틀림을 분석하였다. 또한, 고속철 차량의 교량통과 중 교량의 수직변위에 대한 가속도 영향선과 각 항목 간의 연관성을 분석하여 주행 안정성을 평가하였다.

暴雨의 時間的 分布에 關한 硏究 (Studies on the Time Distribution of Heavy Storms)

  • 이근후
    • 한국농공학회지
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    • 제26권2호
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    • pp.69-84
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    • 1984
  • This study was carried out to investigate the time distribution of single storms and to establish the model of storm patterns in korea. Rainfall recording charts collected from 42 metheorological stations covering the Korean peninsula were analyzed. A single storm was defined as a rain period seperated from preceding and succeeding rainfall by 6 hours and more. Among the defined single storms, 1199 storms exceeding total rainfall of 80 mm were qualified for the study. Storm patterns were cklassified by quartile classification method and the relationship between cummulative percent of rainfalls and cummulative storm time was established for each quartile storm group. Time distribution models for each stations were prepared through the various analytical and inferential procedures. Obtained results are summarized as follows: 1. The percentile frequency of quartile storms for the first to the fourth quartile were 22.0%, 26.5%, 28.9% and 22.6%, respectively. The large variation of percentile frequency was show between the same quartile storms. The advanced type storm pattern was predominant in the west coastal type storm patterns predominantly when compared to the single storms with small total rainfalls. 3. The single storms with long storm durations tended to show delayed type storm patterns predominantly when compared to the single storms with short storm durations. 4. The percentile time distribution of quartile storms for 42 rin gaging stations was estimated. Large variations were observed between the percentiles of time distributions of different stations. 5. No significant differences were generally found between the time distribution of rainfalls with greater total rainfall and with less total rainfall. This fact suggests that the size of the total rainfall of single storms was not the main factor affecting the time distribution of heavy storms. 6. Also, no significant difference were found between the time distribution of rainfalls with long duration and with short duration. The fact indicates that the storm duration was no the main factor affecting the time distribution of heavy storms. 7. In Korea, among all single storms, 39.0% show 80 to 100mm of total rainfall which stands for the mode of the frequency distribution of total rainfalls. The median value of rainfalls for all single storms from the 42 stations was 108mm. The shape of the frequency distribution of total rainfalls showed right skewed features. No significant differences were shown in the shape of distribution histograms for total rainfall of quartile storms. The mode of rainfalls for the advanced type quartile storms was 80~100mm and their frequencies were 39~43% for respective quartiles. For the delayed type quartile storms, the mode was 80~100mm and their frequencies were 36!38%. 8. In Korea, 29% of all single storms show 720 to 1080 minutes of storm durations which was the highest frequency in the frequency distribution of storm durations. The median of the storm duration for all single storms form 42 stations was 1026 minutes. The shape of the frequency distribution was right skewed feature. For the advanced type storms, the higher frequency of occurrence was shown by the single storms with short durations, whereas for the delayed type quartile storms, the higher frequency was shown gy the long duration single storms. 9. The total rainfall of single storms was positively correlated to storm durations in all the stations throughout the nation. This fact was also true for most of the quartile storms. 10. The third order polynomial regression models were established for estimating the time distribution of quartile storms at different stations. The model test by relative error method resulted good agreements between estimated and observed values with the relative error of less than 0.10 in average.

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