• Title/Summary/Keyword: Empirical equation

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Development of Empirical Equations for Estimating the Train-Induced Ground Vibration (철도연변 지반 진동 Data Base 구축을 통한 지반진동예측 실험식)

  • 황선근;고태훈;엄기영;오상덕
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.1022-1027
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    • 2001
  • In this study, the train-induced vibration was measured at many locations at/around the actual service lines and the data base was constructed using the measurement results. The characteristics of train induced ground vibration was categorized and the empirical ground vibration estimating equations were developed. On the ground area (level grounds, embankments, cut sections), the vibration estimating equations were developed in terms of ground vibration level which was related with the distance from the source. Especially for the cut section areas, the vibration levels were expressed with the vibration receiving point expressed by the ratio of vertical distance to horizontal distance(V/H) from the source. As a result, when V/H is 0.96, the vibration estimating equation gives a minimum vibration level.

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Three Reasons We May Shun the Research Practice That Employs Formative Measurement in the Endogenous Position

  • Kim, Gimun;Shin, Bongsik;Kim, Kijoo
    • Journal of Information Technology Applications and Management
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    • v.20 no.3
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    • pp.129-141
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    • 2013
  • When the formative construct is placed in the endogenous position, there are clear theoretical, mathematical, and empirical issues in model estimation. Nonetheless, scholars who have adopted structural equation modeling for empirical research and those who are engaged in debates on the viability of formative modeling fail to recognize the fundamental problems of employing formative measurement in the endogenous position. This manuscript is intended to set a corrective path by discussing three reasons why this frequented practice may be avoided in both theoretical and empirical research.

Measurement of Lower Flash Point for Ternary Mixture, n-Nonane+n-Decane+n-Dodecane System (삼성분계 혼합물인 n-Nonane+n-Decane+n-Dodecane 계의 하부인화점 측정)

  • Ha, Dong-Myeong;Lee, Sungjin
    • Journal of the Korean Institute of Gas
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    • v.20 no.6
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    • pp.31-36
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    • 2016
  • The flash point is one of the most important indicators of the flammability of liquid solutions. The flash point is the lowest temperature at which there is enough concentration of flammable vapor to form an ignitable mixture with air. In this study the flash points of ternary liquid solutions, n-nonane+n-decane+n-dodecane system, were measured using Seta flash closed cup tester. The measured values were compared with the calculated values using Raoult's law and empirical equation. The calculated data by empirical equation described the measured values more effectively than those calculated by Raoult's law.

On the Generalized Empirical Equation for Effective Wellbore Radius (유효우물반경 산정 경험공식의 일반화에 대하여)

  • Choi, Byong-Soo
    • Journal of Soil and Groundwater Environment
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    • v.13 no.3
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    • pp.15-20
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    • 2008
  • The investigation on the previous paper(Jn. of KoSSGE vol.12, no.3), which proposed three empirical equations for the different aquifers was carried out. To draw out a single equation from the three different equations the mean value of the involution factors was adopted allowing different proportional coefficients for the different aquifers. On the other hand it was found that the square root value of storativity ratio, ${\sqrt{{S_p}/{S_o}}}$ in each well is almost equal to its wellbore radius ratio, ${r_e}/{r_w}$. From this fact, the proportional coefficients can be substituted with assumed aquifer storativity and a generalized empirical equation for the effective wellbore radius has been derived.

Determination of natural periods of vibration using genetic programming

  • Joshi, Shardul G.;Londhe, Shreenivas N.;Kwatra, Naveen
    • Earthquakes and Structures
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    • v.6 no.2
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    • pp.201-216
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    • 2014
  • Many building codes use the empirical equation to determine fundamental period of vibration where in effect of length, width and the stiffness of the building is not explicitly accounted for. Also the equation, estimates the fundamental period of vibration with large safety margin beyond certain height of the building. An attempt is made to arrive at the simple empirical equations for fundamental period of vibration with adequate safety margin, using soft computing technique of Genetic Programming (GP). In the present study, GP models are developed in four categories, varying the number of input parameters in each category. Input parameters are chosen to represent mass, stiffness and geometry of the buildings directly or indirectly. Total numbers of 206 buildings are analyzed out of which, data set of 142 buildings is used to develop these models. It is observed that GP models developed under B and C category yield the same equation for fundamental period of vibration along X direction as well as along Y direction whereas the equation of fundamental period of vibration along X direction and along Y direction is of the same form for category D. The equations obtained as an output of GP models clearly indicate the influence of mass, geometry and stiffness of the building over fundamental period of vibration. These equations are then compared with the equation recommended by other researcher.

The empirical corner stiffness for right-angle frames of rectangular and H-type cross-sections

  • Kwon, Young-Doo;Kwon, Soon-Bum;Gil, Hyuck-Moon;Cho, Hui-Jeong
    • Structural Engineering and Mechanics
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    • v.51 no.3
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    • pp.471-485
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    • 2014
  • Until now, the finite corner stiffness of the right-angle frames used as horizontal girders in a bonnet, have not been considered during the design process to result in not a precise result. This paper presents a design equation set for right-angle frames used as horizontal girders in a bonnet assuming rigid corner stiffness. By comparing the center stresses of the right-angle frame according to the design equation set with the results of the finite element method, the master curves for the empirical corner stiffness can be determined as a function of slenderness ratio. A second design equation set for a right-angle frame assuming finite corner stiffness was derived and compared with the first equation set. The master curves for the corner stiffness and the second design equation set can be used to determine the design moments at the centers of the girder so that the bending stresses can be analyzed more precisely.

Approximate Model of Thrust of Pair-Cross Mill using Axiomatic Design and Response Surface Model (공리설계와 반응표면모델에 의한 형상제어 압연기의 추력모델 개발)

  • Yoo, Jung-Hun;Kang, Yeong-Hun;Lee, Tae-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.9 s.240
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    • pp.1270-1275
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    • 2005
  • Rolling process to fabricate a strip with even thickness is significant to enhance the quality of the strip. The thickness of a strip can be effectively controlled by pair-cross mills. However, pair-cross mill generates thrust in the axial direction of roller and causes skewness, deflection, twist and even accidental roll chock failure. Therefore, accurate estimation of the thrust of the pair-cross mill during rolling process is necessary to monitor the failure of roll and the quality of products. An empirical equation given by Mitsubishi Heavy Industry (MHI) is hitherto employed, where the thrust is expressed in terms of rolling force, reduction ratio and crossed angle. However it turns out that the MHI empirical equation provides somehow inaccurate and unsuitable thrust in practical rolling processes. Moreover, we learn that three parameters involved in MHI equation are coupled each other. In this paper, axiomatic design principle is employed to select appropriate parameters involved in approximate equation in order to make parameters uncoupled. A quadratic equation using response surface method with new parameters is suggested. The accuracy of the approximate model is examined by comparing with real experimental data.

Poisson's Ratio Prediction of Soil Using the Consolidation Undrained Triaxial Compression Test (압밀비배수 삼축압축실험을 이용한 지반의 포아송비 예측)

  • Lim, Seongyoon;Yu, Seokchoel;Kim, Yuyong;Kim, Myeonghwan
    • Journal of The Korean Society of Agricultural Engineers
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    • v.62 no.4
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    • pp.45-51
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    • 2020
  • The poisson's ratio was obtained from the effective vertical stress and horizontal stress of consolidation-undrained test. It was analyzed void ratio verse poisson's ratio. At the result, the effective friction angle was increase with relative density increased, was decreased the poisson's ratio. The empirical equation of void ratio and poisson's ratio was showed very high correlation r2=0.846. The empirical equation was showed that the smaller the void ratio in the fine grained soil than granular soil. In the case of 0.85 times the correlation analysis equation of granular and fine grained soil, the experimental results were shown very similarly. In especially, the poisson's ratio prediction results was shown within 5% of the error range, was revalidation 0.85 times the correlation analysis equation using the void ratio. In this study, correlation analysis equation of the granular and fine grained soil was more reliability of the poisson's ratio prediction results apply to the void ratio than dry unit weight.

Transport of Settling Stones (투하석재의 이동)

  • 유동훈;선우중호
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.2
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    • pp.107-115
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    • 1999
  • In order to develop a convenient method for the estimation of transport distance of settling stones in quiescent water or flowing water, introduced was the simple but relatively accurate equation of drag coefficient. The equation of drag coefficient introduced was confirmed to give relatively accurate evaluation for the drag force of smooth-surface sphere, and the effects of surface roughness and shape can be considered by adjusting empirical parameters. A theoretical equation has been developed for the settling velocity or settling distance of smooth-surface sphere in quiescent fluid, and the computation results have been obtained by adjusting the empirical parameter for the settling distance of stone in quiescent water. The 2nd order ordinary differential equation has been developed for the case of settling stones in flowing fluid, and a numerical model has been developed by using Runge-Kutta method for its solution. A number of cases have been tested by adjusting the empirical parameter.

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A Numerical Analysis of Hydraulic Hammer Compaction (유압식 햄머다짐의 수치해석적 연구)

  • 박인준;박양수;김수일
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.183-190
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    • 2000
  • Effective range of Hydraulic Hammer Compaction was studied by numerical analysis instead of empirical method. Numerical analyses were carried out with commercial FEM code, ABAQUS, and verified by comparing the numerical results with field tests of Hydraulic Hammer Compaction. Most of material properties were evaluated by data from laboratory and in-situ tests. Vertical effective range was estimated by distribution curve of plastic strain energy dissipated through soil layers under dynamic load and these results were in good agreement with field tests. Based on verification, the effects of governing properties of Hydraulic Hammer Compaction such as number of hit can be determined by numerical analyses. In addition, vertical effective range can also be determined by Menard's empirical equation using the external work at converging time of plastic strain energy in numerical analysis. This implies that the minimum energy of Hydraulic Hammer Compaction for improvement can be determined by Menard's equation.

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