• Title/Summary/Keyword: Modified equation

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Pile tip grouting diffusion height prediction considering unloading effect based on cavity reverse expansion model

  • Jiaqi Zhang;Chunfeng Zhao;Cheng Zhao;Yue Wu;Xin Gong
    • Geomechanics and Engineering
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    • v.37 no.2
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    • pp.97-107
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    • 2024
  • The accurate prediction of grouting upward diffusion height is crucial for estimating the bearing capacity of tip-grouted piles. Borehole construction during the installation of bored piles induces soil unloading, resulting in both radial stress loss in the surrounding soil and an impact on grouting fluid diffusion. In this study, a modified model is developed for predicting grout diffusion height. This model incorporates the classical rheological equation of power-law cement grout and the cavity reverse expansion model to account for different degrees of unloading. A series of single-pile tip grouting and static load tests are conducted with varying initial grouting pressures. The test results demonstrate a significant effect of vertical grout diffusion on improving pile lateral friction resistance and bearing capacity. Increasing the grouting pressure leads to an increase in the vertical height of the grout. A comparison between the predicted values using the proposed model and the actual measured results reveals a model error ranging from -12.3% to 8.0%. Parametric analysis shows that grout diffusion height increases with an increase in the degree of unloading, with a more pronounced effect observed at higher grouting pressures. Two case studies are presented to verify the applicability of the proposed model. Field measurements of grout diffusion height correspond to unloading ratios of 0.68 and 0.71, respectively, as predicted by the model. Neglecting the unloading effect would result in a conservative estimate.

Analytical nonlocal elasticity solution and ANN approximate for free vibration response of layered carbon nanotube reinforced composite beams

  • Emrah Madenci;Saban Gulcu;Kada Draiche
    • Advances in nano research
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    • v.16 no.3
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    • pp.251-263
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    • 2024
  • This article investigates the free vibration behavior of carbon nanotube reinforced composite (CNTRC) beams embedded using variational analytical methods and artificial neural networks (ANN). The material properties of layered functionally graded CNTRC (FG-CNTRC) beams are estimated using nonlocal parameters modified power-law with different types of CNT distributions through the thickness direction of the beam. Adopting Eringen's nonlocal elasticity theory to capture the small size effects, the nonlocal governing equations are derived and solved using the analytical method. And also, the problem was analyzed using the ANN method. The architecture of the proposed ANN model is 3-9-1. In the experiments, we used 112 different data to predict the natural frequency using ANN. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion as well as the boundary conditions of the beam are derived using Hamilton's principle. The classical beam theory is used to formulate a governing equation for predicting the free vibration of laminated CNTRC beams. According to the experimental results, the prediction ability of the ANN model is very good and the natural frequency can be predicted in ANN without attempting any experiments.

The Development of Prediction Equation for Estimating VO2max from the 20 m PSRT in Korean Middle-School Girls. Exercise Science (20 m 점증 왕복달리기 검사를 이용한 여중생의 VO2max 추정식 개발)

  • Park, Dong-Ho;Song, Jung-Ran;Lee, Sang-Hyun;Kim, Chang-Sun
    • Exercise Science
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    • v.23 no.1
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    • pp.1-11
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    • 2014
  • The purpose of this study was to develop and validate regression models to estimate maximal oxygen uptake (VO2max) from the 20 m Progressive Shuttle Run Test (20 m PSRT) in Korean middle-school girls aged 13-15 years. The 20 m PSRT and VO2max were assessed in a sample of 194 participants. The sample was randomly split into validation (n=127) and test-retest reliability (n=99, 32 out of 127 participants also performed validity test) groups. 127 participants performed a graded exercise test (GXT, stationary gas analyser) and the 20 m PSRT (portable gas analyser) once to develop a VO2max prediction model and to analyze the validity of the modified 20 m PSRT protocol (starting at 7.5 km/h and increasing by 0.5 km/h every 1 min). 99 participants performed the 20 m PSRT twice for test-retest reliability purpose. Mean measured VO2max (39.2±5.1 ml/kg/min) from the potable gas analyzer was significantly increased from that measured during the GXT from stationary gas analyzer (37.7±5.7 ml/kg/min, p=.001) using the modified 20 m PSRT protocol. But it was a narrow range (1.5 ml/kg/min). The measured VO2max from the potable and stationary gas analyzers correlated at r=.88(p<.001). Test-retest of the 20 m PSRT yielded comparable results (Laps r=.88 & final speed r=.85). New regression equations were developed from present data to predict VO2max for middle-school girls: y=.231×Laps-.311×weight(in kg)+46.201 (r=.74, SEE=4.29 ml/kg/min). It is concluded that (a) the modified 20 m PSRT protocol is a valid and reliable test and (b) this equation developed in this study provides valid estimates of VO2max of Korean middle-school girl aged 13-15 years.

Behavior and Analysis of Laterally Loaded Model Pile in Nak-dong River Fine Sand

  • Kim, Young-Su;Seo
    • Geotechnical Engineering
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    • v.14 no.3
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    • pp.25-46
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    • 1998
  • This paper shows that there are the results of a series of model tests on the behavior of single pipe pile which is subjected to lateral load in, Nak-dong River sand. The purpose of the present paper is to estimate the effect of Non-homogeneity. constraint condition of pile head, lateral load velocity, relative density, and embedded length of pile on the behavior of single pile. These effects can be quantified only by the results of model tests. Also, these are compared with the results of the numerical methods (p-y method, modified Vlasov method; new ${\gamma}$ parameter, Characteristic Load Method'CLM). In this study, a new ${\gamma}$ parameter equation based on the Vlasov method was developed to calculate the modulus of subgrade reaction (E. : nhz.) proportional to the depth. The p-y method of analysis is characterized by nonlinear behavior. and is an effective method of designing deep foundations subjected to lateral loads. The new method, which is called the characteristic load method (CLM). is simpler than p-y analysis. but its results closely approximates p-y analysis results. The method uses dimensional analysis to characterize the nonlinear behavior of laterally loaded piles with respect to be relationships among dimensionless variables. The modulus of subgrade reaction used in p-y analysis and modified Vlasov method obtained from back analysis using direct shear test (DST) results. The coefficients obtained from DST and the modified ones used for the prediction of lateral behavior of ultimate soil reaction range from 0.014 to 0.05. and from 0.2 to 0.4 respectively. It is shown that the predicted numerical results by the new method (CLM), p-y analysis, and modified Vlasov method (new parameter) agree well with measured results as the relative density increases. Also, the characteristic load method established applicability on the Q-Mnu. relationship below y/D=0.2.

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Age Estimation by Modified Johanson Method (Johanson 방법을 응용한 연령추정)

  • Lee, Won-Joon;Kim, Byung-Gook;Kim, Jae-Hyung;Lim, Hoi-Soon;Lee, Guem-Sug;Choi, Hong-Ran
    • Journal of Oral Medicine and Pain
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    • v.30 no.2
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    • pp.201-214
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    • 2005
  • Age estimation is fundamental and important in personal identification with forensic medicine and dentistry. Recently, a lot of studies using various part of the body have been done for age estimation. Age estimation with teeth is the most significant method comparing ones with other part of the body. Gustafson method and Johanson method using postmortem teeth have been authorized in accuracy and systemization and used domestically and internationally. The verification of the accuracy in above methods had been tried many times but it is still rare in Korea. Fifty-nine teeth(incisors, canine, premolars and molars) which were extracted due to periodontal diseases or orthodontic problem were collected. Present study is to 1) compare the accuracy of estimated age in applying Gustafson method and Johanson method to the teeth in Korea, 2) compare and analyze the correlation with results using Gustafson method and Johanson method by age, gender, maxilla - mandible and anterior - premolar - molar. Teeth were embedded in resin and sliced and then examined each one using Gustafson method and Johanson method. The results are as follows: 1. Actual age was a significant difference in estimated age by Johanson method. Actual age was a significant correlation in estimated age by Gustafson method and modified Johanson method. Modified Johanson method was more significant than Gustafson method. 2. In estimated age by Gustafson method, Johanson method and modified Johanson method, there was no significance with actual age by location and gender. 3. In estimated age by Gustafson method, Johanson method and modified Johanson method, there was significance with actual age by age group. Finally, Gustafson method and Johanson method can be used in Korea. To make more accurate verification, however, it needs more specimen and postmortem teeth. Johanson equation proposed by himself has to be developed by further studies.

Calculation of Unsaturated Hydraulic Conductivity from Soil Moisture Changes in Pressure-Plate Extractor (Pressure-Plate Extractor 내(內) 토양수분함량(土壤水分含量) 변화(變化)로부터 불포화수리전도도(不飽和水理傳導度)의 계산(計算))

  • Ro, Hee-Myeong;Yoo, Sun-Ho
    • Korean Journal of Soil Science and Fertilizer
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    • v.17 no.1
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    • pp.7-11
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    • 1984
  • A study was carried out to develop a modified Gardner's method, which enabled us to obtain simultaneously both the unsaturated hydraulic conductivities and the moisture retention curves by the use of a soil moisture pressure-plate extractor. The unsaturated hydraulic conductivity was calculated from soil moisture changes under different tension ranges in the pressure- plate extractor by means of Gardner's pressure-plate outflow equation. From 30mbar-tension to 10bar-tension, the unsaturated hydraulic conductivities obtained on three soils (Bonryang sandy loam, Yesan silt loam, and Pogog clay loam) varied $3.09{\times}10^{-2}cm/day{\sim}4.06{\times}10^{-6}cm/day$, $1.34{\times}10^{-2}cm/day{\sim}7.30{\times}10^{-6}cm/day$, and $1.83{\times}10^{-2}cm/day{\sim}8.50{\times}10^{-6}cm/day$, respectively. In comparison with the outflow method, it is inconvenient to perform the periodic determinations of the soil moisture content that require release of the applied Pressure before readjusting the pressure desired for each measurement. Nevertheless, the main advantage of the modified method is that the unsaturated hydraulic conductivities of different soils can be calculated simultaneously with a small amount of each soil sample. It is concluded that the unsaturated hydraulic conductivity can be calculated from soil moisture changes in the soil moisture pressure-plate extractor.

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Absorption Properties of Carbon Dioxide in Aqueous 2-Amino-2-methyl-1-propanol Solution (2-Amino-2-methyl-1-propanol 수용액에 대한 이산화탄소의 흡수특성에 관한 연구)

  • Park, Sang Hyun;Kim, Sung Hyun;Min, Byung Moo
    • Applied Chemistry for Engineering
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    • v.9 no.1
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    • pp.107-114
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    • 1998
  • The solubilities of $CO_2$ in 20wt% and 30wt% aqueous AMP solution were obtained from experiments at 40, 50, 60, 70, $80^{\circ}C$. Using the modified Kent-Eisenberg model, equilibrium constants and correlations were determined from the regression of experimental results of 30wt% aqueous AMP solution. There were good agreements between the predicted $CO_2$ solubilities in 20wt% aqueous AMP solution and experimented values. The prediction was conducted at the condition in the literature and the predicted values calculated from the model and correlations which were obtained from this work agree well with the prediction from Deshmukh-Mather model. Thus, the modified Kent-Eisenberg model and correlated equations suggested by this work, resonably well represent vapor-liquid equilibrium of $CO_2$ with aqueous AMP solution. The calculation of chemical species concentration in the liquid phase was performed uslng equilibrium model and from this calculation, we confirm that good absorption capacity is due to the formation of unstable carbamate. Heat of solution(${\Delta}Hs$) was calculated from the solubility data using the Gibbs-Helmholtz equation.

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Comparative Study of Change in Salmonella Enteritidis and Salmonella Typhimurium Populations in Egg white and Yolk (난백과 난황에서 Salmonella Enteritidis 와 Salmonella Typhimurium 수 변화 비교연구)

  • Moon, Hye Jin;Lim, Jeong Gyu;Yoon, Ki Sun
    • Journal of Food Hygiene and Safety
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    • v.31 no.5
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    • pp.342-348
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    • 2016
  • The objective of this study was to compare the change of S. Enteritidis with S. Typhimurium populations in liquid egg products. S. Enteritidis or S. Typhimurium was inoculated into egg white and egg yolk and stored at 8, 10, 15, 25, and $35^{\circ}C$, respectively. In egg white, no growth of S. Enteritidis and S. Typhimurium was observed at 8, 10, 15, and $35^{\circ}C$, while both S. Enteritidis and S. Typhimurium in egg white stored grew more than 1 log CFU/ml after 50 hours storage at $25^{\circ}C$. In egg yolk, there was no growth of S. Enteritidis and S. Typhimurium at $8^{\circ}C$ but growth of both strains was observed at 10, 15, 25, and $35^{\circ}C$. Since growth of S. Enteritidis and S. Typhimurium was only observed in egg yolk, primary growth models for both strains were developed using modified Gompertz equation and then secondary models for lag time (LT), specific growth rate (SGR), and maximum population density (MPD) were developed as a function of temperature. At all temperatures, more rapid growth of S. Enteritidis than S. Typhimurium was observed in egg yolk, indicating the greater risk of S. Enteritidis than S. Typhimurium in egg products. In conclusion, the results indicate that temperature control less than $8^{\circ}C$ is very important to ensure safety of liquid egg products, especially liquid egg yolk.

The Application of Rule of Mixtures to Fiber-Reinforced Composites(3) - Determination of Constant "a" and "b" for Modified Rule of Mixtures Applied to Fiber-Reinforced, Sulfur-Based Composites - (목재 섬유 복합재(複合材)에 혼합이론(混合理論)의 적용에 관한 연구(硏究)(3) - 유황(硫黃) 화합물(化合物)을 사용한 목재(木材) 섬유(纖維) 복합재(複合材)에 수정된 혼합이론(混合理論)의 상수(常數) 결정(決定) -)

  • Lee, Byung-G.
    • Journal of the Korean Wood Science and Technology
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    • v.12 no.3
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    • pp.3-8
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    • 1984
  • It is shown that Paul and Jones' Rule of Mixtures modified by Smith and Cox's theory can be used for the fiber-reinforced, sulfur-based composites, when the constant for the linear regression equation is given. The computation results, programmed by Hewlett Packard 75C (HP 75C) using math rom pack for the linear regression form, expressed as $E_c=\frac{1}{3}aE_fV_f+bE_mV_m$, turn out to be a=3.27-3.54 b=-2.47~-2.80. This results indicate that the factors such as density of fiber mat and the amount of matrix used have nothing for affecting the numerical value of the constants a and b of the linear regression form. Conclusively this results also show that the Paul and Jones' Rule of Mixtures which has been used for the composites made by randomly-oriented long fiber can also be used for the composites made by short fiber with the same fiber orientation such as wood and lignocellulosic fibers.

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Internal Confining Stress of Internally Confined Hollow Columns under Compressive Load (압축을 받는 내부 구속 중공 RC 기둥의 내부 구속력)

  • Won, Deok Hee;Han, Taek Hee;Kim, Seungjun;Kang, Young Jong
    • Journal of Korean Society of Steel Construction
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    • v.25 no.3
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    • pp.243-254
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    • 2013
  • Internally Confined Hollow RC(ICH RC) column consisted of concrete, transverse reinforcement, longitudinal reinforcement, and inner tube. It had good strength and ductility by core concrete was become triaxial confining state with transverse reinforcement and inner tube. There were two confining stress as external confining stress and internal confining stress in an ICH RC column. While external confining stress was researched by former researchers, internal confining stress has not researched. In this paper, confining stress of both Hollow RC column and ICH RC column was investigated using FEA program. Relation between theoretical confining stress and internal confining stress was drawn by analysis results. Modified failure condition equations of inner tube were suggested to base on failure condition equations of inner tube by former researcher. When thickness of inner tube was calculated by modified equations, it could be economic because thickness of inner tube was reduced 50% compared with former researcher equations in order to same confining stress.