• Title/Summary/Keyword: Omega Method

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Measurement and Verification of Thermal Conductivity of Multilayer Thin Dielectric Film via Differential $3\omega$ Method (차등 $3\omega$ 기법을 이용한 다층 유전체 박막의 열전도도 측정 및 검증)

  • Shin, Sang-Woo;Cho, Han-Na;Cho, Hyung-Hee
    • Transactions of the Society of Information Storage Systems
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    • v.2 no.1
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    • pp.85-90
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    • 2006
  • In this study, measurement of thermal conductivity of multilayer thin dielectric film has been conducted via differential $3\omega$ method. Also, verification of differential $3\omega$ method has been accomplished with various proposed criteria. The target film for the measurement is 300 nm thick silicon dioxide which is covered with upper protective layer of various thicknesses. The upper protective layer is inserted between the target film and the heater line for purpose of electrical insulator or anti-oxidation barrier since the target film may be a good electrical conductor or a well-oxidizing material. Since the verification of differential $3\omega$ method has not been conducted yet, we have shown that the measurement of thermal conductivity of thin films with upper protective layer via differential $3\omega$ method is verified to be reliable as long as the proposed preconditions of the samples are satisfied. Experimental results show that the experimental errors tend to increase with aspect ratio between thickness of the upper protective layer and width of the heater line due to heat spreading effect.

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Capacitance matrix method for petrov-galerkin procedure

  • Chung, Sei-Young
    • Journal of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.461-470
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    • 1995
  • In this paper a capacitance matrix method is developed for the Poisson equation on a rectangle $$ (1-1) Lu \equiv -(u_{xx} + u_{yy} = f, (x, y) \in \Omega \equiv (0, 1) \times (0, 1) $$ with the homogeneous Dirichlet boundary condition $$ (1-2) u = 0, (x, y) \in \partial\Omega $$ where $\partial\Omega$ is the boundary of the region $\Omega$.

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Nonlinear Analysis of a Forced Circular Plate with Internal Resonance (내부공진을 가진 원판의 비선형 강제진동해석)

  • 김철홍;이원경
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.11
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    • pp.2098-2110
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    • 1992
  • An analysis is presented for the combination resonance of a clamped circular plate, which occurs when the frequency of the excitation is near the combination of the natural frequencies, that is, when ohm.=2.0mega./sub 1/+omega./sub 2/. The internal resonance, Omega./sub 3/=omega./sub 1/+2.omega./sub 2/, is considered and its influence on the response is studied. The clamped circular plate experiencing mid-plane stretching is governed by a nonlinear partial differential equation. By using Galerkin's method the governing equation is reduced to a system of nonautonomous ordinary differential equations. The method of multiple scales is used to obtain steady-state responses of the system. Results of numerical investigations show that the increase of the excitation amplitude can reduce the amplitudes of steady-state responses. We can not find this kind of results in linear systems.

Dynamic combination resonance characteristics of doubly curved panels subjected to non-uniform tensile edge loading with damping

  • Udar, Ratnakar. S.;Datta, P.K.
    • Structural Engineering and Mechanics
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    • v.25 no.4
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    • pp.481-500
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    • 2007
  • The dynamic instability of doubly curved panels, subjected to non-uniform tensile in-plane harmonic edge loading $P(t)=P_s+P_d\;{\cos}{\Omega}t$ is investigated. The present work deals with the problem of the occurrence of combination resonances in contrast to simple resonances in parametrically excited doubly curved panels. Analytical expressions for the instability regions are obtained at ${\Omega}={\omega}_m+{\omega}_n$, (${\Omega}$ is the excitation frequency and ${\omega}_m$ and ${\omega}_n$ are the natural frequencies of the system) by using the method of multiple scales. It is shown that, besides the principal instability region at ${\Omega}=2{\omega}_1$, where ${\omega}_1$ is the fundamental frequency, other cases of ${\Omega}={\omega}_m+{\omega}_n$, related to other modes, can be of major importance and yield a significantly enlarged instability region. The effects of edge loading, curvature, damping and the static load factor on dynamic instability behavior of simply supported doubly curved panels are studied. The results show that under localized edge loading, combination resonance zones are as important as simple resonance zones. The effects of damping show that there is a finite critical value of the dynamic load factor for each instability region below which the curved panels cannot become dynamically unstable. This example of simultaneous excitation of two modes, each oscillating steadily at its own natural frequency, may be of considerable interest in vibration testing of actual structures.

The Correlation Between Conformations and Activities of ${\omega}$-Pyridylalkenoic Acids (${\omega}$-피리딜 알켄산의 형태와 활성간의 상관관계)

  • Rhee, Jong-Dal;Doh, Seong-Tak
    • YAKHAK HOEJI
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    • v.41 no.3
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    • pp.298-304
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    • 1997
  • Molecular mechanics and conformation search methods were carried oyt to investigate the relationship between conformations and thromboxane synthetase ingibitory activities of om ega-pyridylalkenoic acids. The initial geometries of ${\omega}$-pyridylalkenoic acids and heme part of cytochrome P-450 were obtained from MM+ geometry optimization. The bond lenths and angles were not varied by step during the conformation searching. Stable conformers of some ${\omega}$-pyridylalkenoic acids were obtained by comformational search method. The distances were 8.5~10.8 ${\AA}$- between N atom at 3-position of pyridine ring and C atom at carboxylic group of stable ${\omega}$-pyridylalkenoic acids. The conformations of ${\omega}$-pyridylalkenoic acids and heme part complex were determined by same method. In theses structures, benzene ring and ethylene group in ${\omega}$-pyridylalkenoic acids are making the structure more rigid and increase inhbitory activity. The electron donating groups in C atom shich is connected to pyridine ring also increase activity.

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Nonlinear Analysis of a Forced Beam with Internal Resonances (내부공진을 가진 보의 비선형 강제진동해석)

  • 이원경;소강영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1897-1907
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    • 1991
  • An analysis is presented for the primary resonance of a clamped-hinged beam, which occurs when the frequency of excitation is near one of the natural frequencies, .omega.$_{n}$. Three mode interactions, .omega.$_{2}$=3.omega.$_{1}$, and .omega.$_{3}$=.omega.$_{1}$+2.omega.$_{2}$, are considered and their influence on the response is studied. The case of two mode interaction, .omega.$_{2}$=3.omega.$_{1}$, is also considered in order to compare it with the case of three mode interactions. The straight beam experiencing mid-plane stretching is governed by a nonlinear partial differential equation. By using Galerkin's method the governing equation is reduced to a system of nonautonomous nonlinear ordinary differential equations. The method of multiple scales is applied to obtain steady-state responses of the system. Results of numerical investions show that there exists no significant difference between both modal interactions.

Design of Electrodes of the Tapered Region of the Traveling-Wave Optical Modulator: SOR Method (진행파 광변조기의 Taper영역 전극 설계 : SOR기법)

  • 정석원;김창민
    • Korean Journal of Optics and Photonics
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    • v.7 no.1
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    • pp.77-86
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    • 1996
  • We employ the SOR method to analyze CPW electrodes of Ti:$LiNbO_3$ Mach-Zehnder traveling-wave optical modulator in the tapered region of an optical modulator. In the tapered region of the modulator, we design the electrodes satisfying $Z_c=50{\Omega}$. In the modulation region, we find two find sets of design parameters. One set is for $Z_c=50{\Omega}$, $n_{eff}=2.26$ and the another is for $n_{eff}=2.2$, $Z_c=47.7{\Omega}$.

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Measurement and Verification of Thermal Conductivity of Multilayer Thin Dielectric Film via Differential 3$\omega$ Method (차등 3$\omega$ 기법을 이용한 다층 유전체 박막의 열전도도 측정 및 검증)

  • Shin Sang-Woo;Cho Han-Na;Cho Hyung-Hee
    • 정보저장시스템학회:학술대회논문집
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    • 2005.10a
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    • pp.254-259
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    • 2005
  • In this study, measurement of thermal conductivity of multilayer thin dielectric film has been conducted via differential 3$\omega$ method. Also, verification of differential 3$\omega$ method has been accomplished with various proposed criteria. The target film for measurement is 300 nm silicon dioxide and this thin film is covered with various thicknesses of upper protective layer. The upper protective layer is inserted between the target film and the heater line for purpose of electrical insulator or anti-oxidation barrier since the target film may be a good electrical conductor or a well-oxidizing material. However, the verification of differential 3$\omega$ method has not been conducted. Thus we have shown that the measurement of thermal conductivity of thin films with upper protective layer via differential 3$\omega$ method is verified to be reliable as long as the proposed preconditions are satisfied. Experimental results show that the experimental errors tend to increase with aspect ratio between upper protective layer thickness and width of the heater line due to heat spreading effect.

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On-Site Evaluation Technique of Linearity for Ratio Error and Phase Angle Error of Current Transformer Comparison Measurement Equipment (전류변성기 비교 측정 장치의 비오차 및 위상각 오차의 직선성 현장 평가기술)

  • Jung, Jae-Kap;Kwon, Sung-Won;Lee, Sang-Hwa;Kang, Jeon-Hong;Kim, Myung-Soo
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.55 no.6
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    • pp.313-316
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    • 2006
  • A method for evaluation of the linearity of both the ratio error and phase angle error in the current transformer(CT) comparison measurement equipment has been developed by employing the standard resistors with negligible AC-DC resistance difference less than $10^{-5}$. The non-reactive standard resistors for the linearity check of the system are used as the external burden connected with the secondary of CT under test. These burdens consist of nine standard resistors, with the nominal resistance of $0.01{\Omega},\;0.1{\Omega},\;0.2{\Omega},\;0.4{\Omega},\;0.6{\Omega},\;1{\Omega},\;2{\Omega},\;4{\Omega}$, and $10{\Omega}$. For linearity check, the developed method has been applied in the CT comparison measurement equipment belonging to the industry.

The Development of Measuring Method of Coated Steel Corrosion in Mortar by Transient Electro-Magnetic(TEM) Method (과도전자탐사법에 의한 모르타르 중의 코팅 철근의 부식 측정 방법 개발)

  • Lee, Sang-Ho;Han, Jeong-Sub
    • Journal of Ocean Engineering and Technology
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    • v.13 no.2 s.32
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    • pp.108-115
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    • 1999
  • To study measurement of coated steel corrosion in mortar, a transient electro-magnetic(TEM) method was adapted. The sensors were made of enamelled wire with diameter of 0.25mm(transmitter), 0.1mm(receiver) and the secondary electro motive force(EMF) was measured with SIROTEMIII. The sensors configuration was used as in loop configuration. After coated steels were corroded by the salt spray during 3, 7, 15, 25days, they were embedded in mortar which were made from sand : cement : water ratio of 2 : 1 :0.5. To investigate coated steel corrosion in mortar, the sensors were used. ( sensorl - $T_x$ : $4{\Omega}$, $R_x$ : $10{\Omega}$, $3{times}3cm$, sensor2 - $T_x$ : $8{\Omega}$, $R_x$ : $10{\Omega}$, $3{times}3cm$, sensor3 - $T_x$ : $4{\Omega}$, $R_x$ : $10{\Omega}$, $6{times}6cm$, sensor4 - $T_x$ : $8{\Omega}$, $R_x$ : $10{\Omega}$, $6{times}6cm$). The obtained results showed that the secondary EMF was decreased with specimens of 3, 7days corroded coationg steel in mortar and then increased with specccimens of 15, 25days corroded one. And it was confirmed that measurement of coated steel corrosion in mortar by a transient electro-magnetic(TEM) method is possible.

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