• Title/Summary/Keyword: Effective coefficient

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Modification of Thin Film Friction and Wear Models with Effective Hardness

  • Kim, Chang-Lae;Kim, Hae-Jin
    • Tribology and Lubricants
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    • v.36 no.6
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    • pp.320-323
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    • 2020
  • Thin film coatings are commonly exploited to minimize wear and optimize the frictional behavior of various precision mechanical systems. The enhancement of thin film durability is directly related to the performance maximization of the system. Therefore, a fine approach to analyze the thin film wear behavior is required. Archard's equation is a representative and well-developed law that defines the wear coefficient, which is the probability of creating wear particles. A ploughing model is a commonly used model to determine the friction force during the abrasive contact. The equations demonstrate that the friction force and wear coefficient are inversely proportional to the hardness of the material. In this study, Archard's equation and ploughing models are modified with an effective hardness to minimize the gap between the experimental and numerical results. It is noted that the effective hardness is the hardness variation with respect to the penetration depth owing to the substrate effect. The nanoindentation method is utilized to characterize the effective hardness of Cu film. The wear coefficient value considering the effective hardness is more than three times higher than that without considering the effective hardness. The friction force predicted with the effective hardness agreed better with the results obtained directly from the friction force detecting sensor. This outcome is expected to improve the accuracy of friction and wear amount predictions.

A Comment for Teaching Correlation Coefficient in Elementary Statistics Course

  • Oh, Myong-Sik
    • Communications for Statistical Applications and Methods
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    • v.14 no.2
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    • pp.301-307
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    • 2007
  • A effective teaching method on correlation coefficient for elementary level statistics course is discussed in this article. The well known inequalities, such as Theorem 368 of Hardy et al. (1952), are used for the interpretation of concept of covariance. An Excel example is provided for the illustration of concept of correlation coefficient.

A Study on Chloride ion Diffusion in Cracked Concrete (균열이 발생한 콘크리트에서의 염화물 이온 확산에 관한 연구)

  • 배상운;박상순;변근주;송하원
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.677-682
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    • 2001
  • In this study, a method to evaluate diffusion coefficient of chloride ion in cracked concrete is proposed. For cracked concrete having either anisotropic or isotropic crack network, each crack of saturated concrete is considered as a V shape crack, and an effective diffusion coefficient is expressed with diffusion coefficients of cracked part and noncracked part and a so-called crack spacing factor. A comparison with experimental results shows that the diffusion coefficient for cracked concrete is accurately predicted by the effective diffusion coefficient. Prediction results also show that the cracks in concrete markedly change the diffusion properties and accelerate penetration of drifting species. The method in this paper can be effectively used to consider the effect of cracks on concrete diffusion coefficient of cracked concrete.

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A Study on the Determination of Prestressing Force Considering Frictional Loss in Prestressed Concrete Structures (프리스트레스 콘크리트 구조물의 마찰손실을 고려한 긴장력 산정에 관한 연구)

  • 조병완;이재형;태기호
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.04a
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    • pp.645-650
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    • 2000
  • In the prestressed concrete structures, the effective prestressing force of tendon is basically most important item for structural safety and serviceability. The frictional loss is one of the major items for determinating the effective prestressing force and depend on the construction accuracy of the structures. In this thesis, it will be analyzed and found through measured hydraulic jack pressure, tendon elongation and prestressing control system that the tendancy of apparent curvature friction coefficient, the ratio of jacking force and required prestressing force, the ratio of initial jacking force and required prestressing force and compatibility of specified friction loss coefficient. The specified control limit for curvature friction coefficient of prestressing control system is about 0.25 and wobble friction coefficient 0.005. Thus, the control limit should be modified according to changed vale of friction coefficient.

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Effective Wall Roughness corresponding to Roughness Coefficient of Open Channel Flow (개수로 조도계수에 따른 유효 벽면거칠기)

  • Choi, Jun-Woo;Kwon, Kab-Keun;Kim, Hyung-Seok;Yoon, Sung-Bum
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.176-179
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    • 2008
  • In a numerical simulation of open channel turbulent flows, the determination of wall roughness height for wall function was studied. The roughness constant, based on the law-of-the -wall for flow on rough walls, obtained by experimental works for pipe flows is employed in general wall functions. However, this constant of wall function is the function of Froude number in open channel flows. Thus, the wall roughness should be determined by taking into account the effect of Froude number. In addition, the wall roughness should be corresponding to Manning's roughness coefficient widely used for open channels. In this study, the relation between wall roughness height as an input condition and Manning's roughness coefficient was investigated, and an equation for effective wall roughness height considering the characteristics of numerical models was proposed as a function of Manning's roughness coefficient.

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Determination of the Effective Energy of X-Ray Beam Using Optically Stimulated Luminescent nanoDot Dosimeters (광자극형광나노닷선량계를 사용한 X선 빔의 유효에너지 결정)

  • Kim, Jongeon;Lee, Sanghun
    • Journal of the Korean Society of Radiology
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    • v.9 no.6
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    • pp.375-379
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    • 2015
  • The purpose of this study is to determine the effective energy of a polyenegetic X-ray beam. The half value layer(HVL) of aluminum for 80 kVp X-ray beam was measured by using optically stimulated luminescent nanoDot dosimeters(OSLnDs). The linear attenuation coefficient(${\mu}$) was calculated using the measured HVL. And the mass attenuation coefficient(${\mu}/{\rho}$) was obtained by dividing the linear attenuation coefficient by the density(${\rho}$) of aluminum. The effective energy($E_{eff}$) of the obtained mass attenuation coefficient was determined using data of the X-ray mass attenuation coefficients for photon energies of aluminum given by National Institute of Standards and Technology(NIST). As a result, the HVL value is 2.262 mmAl. The ${\mu}$ value is $3.06cm^{-1}$. The ${\mu}/{\rho}$ value is $1.114cm^2/g$. And the $E_{eff}$ value was determined at 29.79 keV.

Calculation Formula for Effective Photon Energy in kV X-ray Beam of Mammography (유방촬영의 kV X-선 빔에서 유효광자에너지에 대한 계산식)

  • Young-On Park;Sang-Hun Lee;Jong-Eon Kim
    • Journal of the Korean Society of Radiology
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    • v.17 no.4
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    • pp.507-514
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    • 2023
  • The purpose of this study is to find a formula that can easily calculate the effective photon energy in the X-ray beam of mammography. The tube voltage measured for each set tube voltage was obtained using the X2 MAM Sensor. The mass attenuation coefficient for aluminum of the aluminum filter was obtained from the half value layer measurement from each measured tube voltage X-ray beam. The mass attenuation coefficient of aluminum obtained from each measured tube voltage X-ray beam was corresponded to the mass attenuation coefficient of aluminum for each photon energy obtained from NIST. The photon energy corresponding to the matching mass attenuation coefficient was determined as the effective photon energy. The formula for calculating the determined effective photon energy was obtained by polynomial matching of the effective photon energy for each tube voltage in the Origin pro 2019b statistical program as y = 28.98968-1.91738x + 0.07786x2-0.000946717x3. Here, x is the measuring tube voltage and y is the effective photon energy. The calculation formula of the effective photon energy of the mammography X-ray beam obtained in this study is considered to be very useful in obtaining the interaction coefficient between the X-ray beam and a certain substance in clinical practice.

Sensitivity Analysis of Effective Viscosity Coefficients for Computing Characteristics of Ultrathin Gas Film Bearings (초미세 틈새의 기체 베어링 해석용 유효 점도의 표현식과 관련 계수들의 민감도 해석)

  • Kim, Ui Han;Rhim, Yoon Chul
    • Tribology and Lubricants
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    • v.30 no.1
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    • pp.15-20
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    • 2014
  • A more accurate expression for effective viscosity is obtained using a linear regression of the data from Fukui-Kaneko's model, which are obtained through numerical calculations based on the linearized Boltzmann equation. Veijola and Turowski's expression is adopted as a base function for effective viscosity. The four coefficients in that equation are optimized, and sensitivity analysis is conducted for these coefficients. The results show that the coefficient for the first-order Knudsen number is the most accurate, whereas the coefficient in the exponential of the Knudsen number is the least accurate compared with Fukui-Kaneko's results. The expression for effective viscosity is accurate within 0.02% rms of Fukui-Kaneko's results for the inverse Knudsen numbers from 0.01 to 100 and surface accommodation coefficients ranging from 0.7 to 1.

Modeling for Temperature Dependent Effective ionization Coefficient of Si $p^+n$ Junction Diodes (Si $p^+n$ 접합 다이오드의 온도를 고려한 유효 이온화 계수 모델링)

  • Chung Yong Sung
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.41 no.1
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    • pp.9-14
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    • 2004
  • In this paper, temperature dependence of effective ionization coefficient in Si is formulated as a single polynomial function of temperature, which allows analytical expressions for breakdown voltage of Si $p^+n$ junction as a function of temperature. The analytical breakdown voltages agree well with the simulation as well as the experimental ones reported within $3\%$ in error for the doping concentrations in the range of $10^{14}cm^{-3}{\~} 10^{17}cm^{-3}$ at 100K, 300K and 500K.

Dispersion and Nonlinear Properties of Elliptical Air Hole Photonic Crystal Fiber

  • Rao, MP Srinivasa;Singh, Vivek
    • Current Optics and Photonics
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    • v.2 no.6
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    • pp.525-531
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    • 2018
  • The effect of eccentricity on dispersion and nonlinear properties of a photonic crystal fiber having elliptical air holes is investigated using a fully vectorial effective index method. It is found that the effective refractive index increases with increase of eccentricity. The dependence of dispersion and nonlinear properties of the PCF on the eccentricity of the air hole is investigated. It is revealed that eccentricity of the air hole affects the zero dispersion wavelength. Further, the nonlinear properties such as mode field area, nonlinear coefficient and self phase modulation of the Photonic crystal fibers are analyzed. The mode field area increases and the nonlinear coefficient decreases with increase in eccentricity. The variation of the self phase modulation with elliptical air hole is also discussed.