• 제목/요약/키워드: Logarithmic-law

검색결과 52건 처리시간 0.026초

적층형 PMN-PZT 세라믹 압전 액추에이터의 열화특성 (Aging Phenomena of Multilayered PMN-PZT Ceramic Actuator)

  • 송재성;정순종;김인성;이원재;이동윤
    • 한국전기전자재료학회논문지
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    • 제18권5호
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    • pp.445-449
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    • 2005
  • Aging phenomena of 0.2PMN-0.8PZT multilayered ceramic actuators(MCA) have been investigated at the room temperature. The piezoelectric materials were synthesized as conventional ceramic process, and MCA were fabricatedby tape casting methods. The crystalline structures and lattice parameters were investigated by X-ray diffraction analysis, showing the structure was tetragonal and c/a was about 1.01. And, the effective electromechanical coupling coefficient keff and pseudo-piezoelectric constant $d_{33}$were measured. Variable unipolar electric fields, $2{\sim}4kV/mm$, were applied to MCh to investigate the aging characteristics. After 2 kV/mm unipolar electric field, keff and $d_{33}$ were 0.454 and 4.44 respectively. The measured and simulated values using for aging phenomena analysis, had a good fit to the linear logarithmic stretched exponential law.

A mathematical model to recover missing monitoring data of foundation pit

  • Liu, Jiangang;Zhou, Dongdong;Liu, Kewen
    • Geomechanics and Engineering
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    • 제9권3호
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    • pp.275-286
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    • 2015
  • A new method is presented to recover missing deformation data of lateral walls of foundation pit when the monitoring is interrupted; the method is called Dynamic Mathematical Model - Parameter Interpolation. The deformation of lateral walls of foundation pit is mainly affected by the type of supporting structure and the situation of constraints, therefore, this paper mainly studies the two different kinds of variation law of deep horizontal displacement when the lateral walls are constrained or not, proposes two dynamic curve models of normal distribution type and logarithmic type, deals with model parameters by interpolating and obtains the parameters of missing data, then missing monitoring data could be Figured out by these parameters. Compared with the result from the common average method which is used to recover missing data, in the upper 2/3 of the inclinometer tube, the result by using this method is closer to the actual monitoring data, in the lower 1/3 part of the inclinometer tube, the result from the common average method is closer to the actual monitoring data.

La2NiO4+δ세라믹스의 유전이완 및 전기전도특성 (Dielectric Relaxation and Electrical Conduction Properties of La2NiO4+δ Ceramics)

  • 정우환
    • 한국재료학회지
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    • 제21권7호
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    • pp.377-383
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    • 2011
  • Thermoelectric power, dc conductivity, and the dielectric relaxation properties of $La_2NiO_{4.03}$ are reported in the temperature range of 77 K - 300 K and in a frequency range of 20 Hz - 1 MHz. Thermoelectric power was positive below 300K. The measured thermoelectric power of $La_2NiO_{4.03}$ decreased linearly with temperature. The dc conductivity showed a temperature variation consistent with the variable range hopping mechanism at low temperatures and the adiabatic polaron hopping mechanism at high temperatures. The low temperature dc conductivity mechanism in $La_2NiO_{4.03}$ was analyzed using Mott's approach. The temperature dependence of thermoelectric power and dc conductivity suggests that the charge carriers responsible for conduction are strongly localized. The relaxation mechanism has been discussed in the frame of the electric modulus and loss spectra. The scaling behavior of the modulus and loss tangent suggests that the relaxation describes the same mechanism at various temperatures. The logarithmic angular frequency dependence of the loss peak is found to obey the Arrhenius law with activation energy of ~ 0.106eV. At low temperature, variable range hopping and large dielectric relaxation behavior for $La_2NiO_{4.03}$ are consistent with the polaronic nature of the charge carriers.

Elliptic Feature of Coherent Fine Scale Eddies in Turbulent Channel Flows

  • Kang Shin-Jeong;Tanahashi Mamoru;Miyauchi Toshio
    • Journal of Mechanical Science and Technology
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    • 제20권2호
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    • pp.262-270
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    • 2006
  • Direct numerical simulations (DNS) of turbulent channel flows up to $Re_{\tau}=1270$ are performed to investigate an elliptic feature and strain rate field on cross sections of coherent fine scale eddies (CFSEs) in wall turbulence. From DNS results, the CFSEs are educed and the strain rate field around the eddy is analyzed statistically. The principal strain rates (i.e. eigenvalues of the strain rate tensor) at the CFSE centers are scaled by the Kolmogorov length $\eta$ and velocity $U_k$. The most expected maximum (stretching) and minimum (compressing) eigenvalues at the CFSE centers are independent of the Reynolds number in each $y^+$ region (i. e. near-wall, logarithmic and wake regions). The elliptic feature of the CFSE is observed in the distribution of phase-averaged azimuthal velocity on a plane perpendicular to the rotating axis of the CFSE $(\omega_c)$. Except near the wall, phase-averaged maximum $(\gamma^{\ast}/\gamma_c^{\ast})$ and minimum $(\alpha^{\ast}/\alpha_c^{\ast})$ an eigenvalues show maxima on the major axis around the CFSE and minima on the minor axis near the CFSE center. This results in high energy dissipation rate around the CFSE.

An analytical solution for bending and free vibration responses of functionally graded beams with porosities: Effect of the micromechanical models

  • Hadji, Lazreg;Zouatnia, Nafissa;Bernard, Fabrice
    • Structural Engineering and Mechanics
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    • 제69권2호
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    • pp.231-241
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    • 2019
  • In this paper, a new higher order shear deformation model is developed for static and free vibration analysis of functionally graded beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. Different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. In addition, the effect of different micromechanical models on the bending and free vibration response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present higher-order shear deformation model, the equations of motion are derived from Hamilton's principle. Navier type solution method was used to obtain displacement, stresses and frequencies, and the numerical results are compared with those available in the literature. A comprehensive parametric study is carried out to assess the effects of volume fraction index, porosity fraction index, micromechanical models, mode numbers, and geometry on the bending and natural frequencies of imperfect FG beams.

Buckling analysis of FG plates via 2D and quasi-3D refined shear deformation theories

  • Lemya Hanifi Hachemi Amar;Fouad Bourada;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Kouider Halim Benrahou;Hind Albalawi;Abdeldjebbar Tounsi
    • Structural Engineering and Mechanics
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    • 제85권6호
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    • pp.765-780
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    • 2023
  • In this work, a novel combined logarithmic, secant and tangential 2D and quasi-3D refined higher order shear deformation theory is proposed to examine the buckling analysis of simply supported uniform functionally graded plates under uniaxial and biaxial loading. The proposed formulations contain a reduced number of variables compared to others similar solutions. The combined function employed in this study ensures automatically the zero-transverse shear stresses at the free surfaces of the structure. Various models of the material distributions are considered (linear, quadratic, cubic inverse quadratic and power-law). The differentials stability equations are derived via virtual work principle with including the stretching effect. The Navier's approach is applied to solve the governing equations which satisfying the boundary conditions. Several comparative and parametric studies are performed to illustrates the validity and efficacity of the proposed model and the various factors influencing the critical buckling load of thick FG plate.

Free vibration analysis of multi-directional porous functionally graded sandwich plates

  • Guermit Mohamed Bilal Chami;Amar Kahil;Lazreg Hadji;Royal Madan;Abdelouahed Tounsi
    • Steel and Composite Structures
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    • 제46권2호
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    • pp.263-277
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    • 2023
  • Free vibration analysis of multi-directional porous functionally graded (FG) sandwich plate has been performed for two cases namely: FG skin with homogeneous core and FG core with homogeneous skin. Hamilton's principle was employed and the solution was obtained using Navier's technique. This theory imposes traction-free boundary conditions on the surfaces and does not require shear correction factors. The results obtained are validated with those available in the literature. The composition of metal-ceramic-based functionally graded material (FGM) changes in longitudinal and transverse directions according to the power law. Imperfections in the functionally graded material introduced during the fabrication process were modeled with different porosity laws such as evenly, unevenly distributed, and logarithmic uneven distributions. The effect of porosity laws and geometry parameters on the natural frequency was investigated. On comparing the natural frequency of two cases for perfect and imperfect sandwich plates a reverse trend in natural frequency result was seen. The finding shows a multidirectional functionally graded structures perform better compared to uni-directional gradation. Hence, critical grading parameters and imperfection types have been identified which will guide experimentalists and researchers in selecting fabrication routes for improving the performance of such structures.

이어도 해양과학기지 풍속 자료의 실시간 운용을 위한 기준 고도 변환 과정 (Converting Ieodo Ocean Research Station Wind Speed Observations to Reference Height Data for Real-Time Operational Use)

  • 변도성;김효원;이주영;이은일;박경애;우혜진
    • 한국해양학회지:바다
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    • 제23권4호
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    • pp.153-178
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    • 2018
  • 운용용으로 사용되는 대부분의 풍속자료는 10 m 기준 고도에서 측정 또는 생산된 자료이다. 이 연구는 이어도 해양과학기지 42.3 m 고도의 옥상 등대에서 측정 중인 풍속을 기준 고도의 풍속으로 변환시켜 국립해양조사원 누리집을 통해 실시간으로 제공하기 위한 사전 연구이다. 이를 위해 2015년에 이어도 기지에서 관측한 풍속을 대표적인 네 종류의 풍속 변환식 - 멱법칙식, 두 종류의 중립벽 로그법칙식(항력계수형, 거칠기 높이형), 대기 안정도 효과를 고려한 벽 로그법칙모델(안정도 고려 거칠기 높이형) -에 적용하였다. 관측 바람을 평가하는데 많이 사용되는 '안정도 고려 거칠기 높이형' 벽 로그법칙모델의 결과와 나머지 풍속 변환식 결과들을 서로 비교하였다. 그 결과 '거칠기 높이형' 벽 로그법칙식과 '안정도 고려 거칠기 높이형' 벽 로그법칙모델 간 편향과 평균 제곱근 편차는 각각 $-0.001m\;s^{-1}$$0.122m\;s^{-1}$로 가장 낮아 실시간 현업 운용 측면에서 상호 보완적으로 이 두 변환식을 함께 사용하는 것이 바람직하다는 결론을 도출하였다. 또한 이어도 해역에서 조석에 의한 풍속 관측 고도 변화가 풍속 변환에 미치는 영향을 분석하였다. 이들 변환식에 대한 조석 효과 고려 전후에 대한 비교 실험 결과, 편향과 평균 제곱근 편차는 각각 <$0.0001m\;s^{-1}$와 <$0.012m\;s^{-1}$로 그 영향은 미미하였다. 대기 표면 거칠기 높이를 사용하는 '거칠기 높이형' 벽 로그법칙식과 '안정도 고려 거칠기 높이형' 벽 로그 법칙모델을 이용하여 간편 풍속 변환식의 필수 입력값인 표면 거칠기 높이 값의 적절성에 관해 논의하였으며, 풍속 변환 정확도를 향상시킬 수 있는 표면 거칠기 높이 계산식을 제시하였다. 또한 인공위성 산란계(ASCAT) 풍속자료와 네 종류의 중립 연직 풍속 변환식들의 결과를 비교하여 이들 중 '안정도 고려 거칠기 높이형' 벽 로그법칙모델에서 안정도 항을 뺀 풍속 변환 모델의 정확도가 더 낫다는 결과를 제시하였다. 끝으로 이들 종래 $25m\;s^{-1}$ 이하 풍속에 최적화된 풍속 변환식들로부터 바람 항력계수를 산정 분석하여 강풍(${\geq}33m\;s^{-1}$) 환경에서도 적합한 풍속 변환식으로 개선 필요성에 관해 논의하였다.

Free vibration analysis of FG nanoplate with poriferous imperfection in hygrothermal environment

  • Karami, Behrouz;Shahsavari, Davood;Janghorban, Maziar;Li, Li
    • Structural Engineering and Mechanics
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    • 제73권2호
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    • pp.191-207
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    • 2020
  • This study aims at investigating the size-dependent free vibration of porous nanoplates when exposed to hygrothermal environment and rested on Kerr foundation. Based on the modified power-law model, material properties of porous functionally graded (FG) nanoplates are supposed to change continuously along the thickness direction. The generalized nonlocal strain gradient elasticity theory incorporating three scale factors (i.e. lower- and higher-order nonlocal parameters, strain gradient length scale parameter), is employed to expand the assumption of second shear deformation theory (SSDT) for considering the small size effect on plates. The governing equations are obtained based on Hamilton's principle and then the equations are solved using an analytical method. The elastic Kerr foundation, as a highly effected foundation type, is adopted to capture the foundation effects. Three different patterns of porosity (namely, even, uneven and logarithmic-uneven porosities) are also considered to fill some gaps of porosity impact. A comparative study is given by using various structural models to show the effect of material composition, porosity distribution, temperature and moisture differences, size dependency and elastic Kerr foundation on the size-dependent free vibration of porous nanoplates. Results show a significant change in higher-order frequencies due to small scale parameters, which could be due to the size effect mechanisms. Furthermore, Porosities inside of the material properties often present a stiffness softening effect on the vibration frequency of FG nanoplates.

경연 네트워크에서 중심성과 승률의 관계 (The Relationship between Centrality and Winning Percentage in Competition Networks)

  • 서일정;백의영;조재희
    • 한국콘텐츠학회논문지
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    • 제16권9호
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    • pp.127-135
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    • 2016
  • 본 연구는 이전에 연구된 적이 없는 경연 네트워크를 대상으로 경연 네트워크의 개념을 정의하고, 경연자의 중심성과 승률의 관계를 탐색적으로 분석하였다. TV 음악 경연 프로그램인 '불후의 명곡'을 대상으로, 총 386명의 경연자가 펼친 1,307회의 경연 결과를 수집하여 경연 네트워크를 구성하였다. 경연자의 중심성과 승률을 산출하여 그들의 관계를 상관분석, 회귀분석, 시각화 등의 방법을 사용하여 분석하였다. 본 연구의 결과를 하면 다음과 같다. 첫째, 경연 네트워크는 멱함수 법칙을 따르는 척도 없는 네트워크이다. 둘째, 경연수와 다른 경연자들과의 친밀도 사이에는 로그함수 관계가 존재한다. 셋째, 경연수가 20회 이상인 경연자의 승률은 대략 60%로 수렴한다. 마지막으로, 경연수가 20회 미만인 경연자의 승률은 대진 운에 23% 정도의 영향을 받는다. 본 연구의 학문적 의의는 경연 네트워크를 최초로 정의하고 탐색함으로써 소셜 네트워크 연구의 새로운 분야를 개척하였다는 점이며, 실행적 의의는 중심성과 승률의 관계에 대한 실증적 패턴을 발견하여 경연 네트워크에서 사회적 관계를 개선하고 승률을 높일 수 있는 방법을 제시하였다는 것이다.