• 제목/요약/키워드: Harmonic constants

검색결과 69건 처리시간 0.028초

Multidimensional Frictional Coupling Effect in the Photoisomerization of trans-Stilbene

  • 곽기정;이상엽;신국조
    • Bulletin of the Korean Chemical Society
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    • 제16권5호
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    • pp.427-432
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    • 1995
  • A model based on two coupled generalized Langevin equations is proposed to investigate the trans-stilbene photoisomerization dynamics. In this model, a system which has two independent coordinates is considered and these two system coordinates are coupled to the same harmonic bath. The direct coupling between the system coordinates is assumed negligible and these two coordinates influence each other through the frictional coupling mediated by solvent molecules. From the Hamiltonian which is equivalent to the coupled generalized Langevin equations, we obtain the transition state theory rate constants of the stilbene photoisomerization. The rates obtained from this model are compared to experimental results in n-alkane solvents.

Geosat 고도계자료를 이용한 동아시아해역의 해면변위 산정법 (Computational Procedure for Sea Subface Topography of East Asian Marginal Seas using Geosat Altimeter Data)

  • 최병호;고진석
    • 한국측량학회지
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    • 제12권1호
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    • pp.107-118
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    • 1994
  • 연근해에서의 위성고도계자료의 정확도가 향상됨에 따라 기존에 잘 알려진 Schwiderski 의 전구적 동수력학적 모형보다 더 정확한 조석모형으로 위성고도계자료에서의 조석성분에 대한 보정을 향상시킬 필요가 검증되었다. 초기단계로 오오츠크해, 남중국해와 북서태평양해성을 포함하는 동아시아해역에 대해 기존의 조석모형보다 해상도가 높은 $1/6^\circ$ 격자체계의 조석모형을 수립하여 반일적조$(M_2,\;S_2,\;N_2,\;K_2)$와 일적조$(K_1,\;O_1,\;P_1,\;Q_1)$에 대한 수치모형실험이 이루어졌다. 수립된 조석모형에서 산정된 조화상수들은 모형 영역의 Geosat 위성고도계자료로부터 해면변위를 산정할 때 조석성분을 제거하는데 이용되었다. 이러한 초기적인 갱정절차의 제시는 Schwiderski 의 조화상수로서는 적절히 처리될 수 없는 동아시아해역의 연해에 대해 해면변위를 산정하는데 광범위하게 이용될 수 있다.

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필리핀을 위한 조석 데이터베이스 개발에 관한 연구 (A Study on Development of the Tidal Database for the Philippines)

  • 박응현;안세진;심문보;전혜연;강호윤;김대현
    • 한국지리정보학회지
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    • 제22권4호
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    • pp.158-168
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    • 2019
  • 국립해양조사원은 '15년부터 '18년 까지 제1단계 개발도상국 공적개발원조(Official Development Assistance: ODA) 기반의 '필리핀 해양수산 인프라시설 구축 및 기술연수' 연구 사업을 수행하였다. 그리고 '20년부터 제2단계 필리핀 공적개발원조 연구 사업을 준비하고 있다. 또한 최근 필리핀은 기후변화로 인한 해수면 상승 및 연안 침식 등의 문제로 인하여 해양영토 관리와 대응역량 강화에 관심을 기울이고 있다. 따라서 본 연구는 제2단계 필리핀 공적개발원조 연구 사업을 추진함에 앞서, 우리나라 해양수직기준면 모델에 대하여 분석하고 지난 4년간의 필리핀 공적개발원조(ODA) 연구 사업을 기반으로 구축된 인프라와 해양자료를 기반으로 필리핀의 해양수직기준면 체계 발전방향을 제시하고자 한다. 또한 필리핀의 Sulu Sea 해역을 연구 구역으로 선정하여 총 22개의 조위관측소 정점에 대하여 조석 조화분해를 실시하고 개정수 분석 및 필리핀 조석격자망(모델) 구축을 위한 시범제작 연구를 수행하였다. 연구 결과, 조석특성이 유사한 해역을 기준으로 두 정점간의 개정수를 적용하여 예측과 실측조위를 비교하였을 때 유사한 조위데이터를 확인할 수 있었다. 본 연구 결과는 제2단계 공적개발원조 연구 사업의 기초자료로 활용되어 한-필리핀 국가 간의 우호증진 및 긴밀한 협력체계 구축 및 유지에 사용될 것이다.

Axial frequency analysis of axially functionally graded Love-Bishop nanorods using surface elasticity theory

  • Nazemnezhad, Reza;Shokrollahi, Hassan
    • Steel and Composite Structures
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    • 제42권5호
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    • pp.699-710
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    • 2022
  • This work presents a comprehensive study on the surface energy effect on the axial frequency analyses of AFGM nanorods in cylindrical coordinates. The AFGM nanorods are considered to be thin, relatively thick, and thick. In thin nanorods, effects of the inertia of lateral motions and the shear stiffness are ignored; in relatively thick nanorods, only the first one is considered; and in thick nanorods, both of them are considered in the kinetic energy and the strain energy of the nanorod, respectively. The surface elasticity theory which includes three surface parameters called surface density, surface stress, and surface Lame constants, is implemented to consider the size effect. The power-law form is considered for variation of the material properties through the axial direction. Hamilton's principle is used to derive the governing equations and boundary conditions. Due to considering the surface stress, the governing equation and boundary condition become inhomogeneous. After homogenization of them using an appropriate change of variable, axial natural frequencies are calculated implementing harmonic differential quadrature (HDQ) method. Comprehensive results including effects of geometric parameters and various material properties are presented for a wide range of boundary condition types. It is believed that this study is a comprehensive one that can help posterities for design and manufacturing of nano-electro-mechanical systems.

Analysis of Torque Characteristics for the Single-phase Induction Motor Considering Space Harmonics

  • Kim Byung-Taek;Lee Sung-Ho;Kwon Byung-Il
    • Journal of Electrical Engineering and Technology
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    • 제1권3호
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    • pp.327-331
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    • 2006
  • This paper presents the analysis method for the torque characteristic of the 1-phase induction motor considering space harmonics in the air gap. The equivalent circuit method is used, where the circuit constants are obtained by classic theory. In addition, the space harmonic components in air gap magneto motive force are analyzed and added to the equivalent circuit to obtain accurate torque characteristics in low speed regions. Each torque component due to the harmonics is calculated and the total torque characteristic is obtained and compared with the measurement result.

레벨셋 기법의 물성 보간 방법에 대한 고찰 (ASSESSMENT OF PROPERTY INTERPOLATION METHODS IN LEVEL SET METHOD)

  • 박준권;오정민;강관형
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.283-289
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    • 2009
  • In level set method, material properties are made to change smoothly across an interface of two materials with different properties by introducing an interpolation or smoothing scheme. So far, the weighted arithmetic mean (WAM) method has been exclusively adopted in level set method, without complete assessment for its validity. We showed here that the weighted harmonic mean (WHM) method for rate constants of various rate processes, including viscosity, thermal conductivity, electrical conductivity, and permittivity, gives much more accurate results than the WAM method. The selection of interpolation scheme is particularly important in multi-phase electrohydrodynamic problems in which driving force for fluid flow is electrical force exerted on the phase interface. Our analysis also showed that WHM method for both electrical conductivity and permittivity gives not only more accurate, but also more physically realistic distribution of electrical force at the interface. Our arguments are confirmed by numerical simulations of drop deformation under DC electric field.

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RIGIDITY OF IMMERSED SUBMANIFOLDS IN A HYPERBOLIC SPACE

  • Nguyen, Thac Dung
    • 대한수학회보
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    • 제53권6호
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    • pp.1795-1804
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    • 2016
  • Let $M^n$, $2{\leq}n{\leq}6$ be a complete noncompact hypersurface immersed in ${\mathbb{H}}^{n+1}$. We show that there exist two certain positive constants 0 < ${\delta}{\leq}1$, and ${\beta}$ depending only on ${\delta}$ and the first eigenvalue ${\lambda}_1(M)$ of Laplacian such that if M satisfies a (${\delta}$-SC) condition and ${\lambda}_1(M)$ has a lower bound then $H^1(L^2(M))=0$. Excepting these two conditions, there is no more additional condition on the curvature.

MULTIDIMENSIONAL SYMMETRIC STABLE PROCESSES

  • Chen, Zhen-Qing
    • Journal of applied mathematics & informatics
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    • 제6권2호
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    • pp.329-368
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    • 1999
  • This paper surveys recent remarkable progress in the study of potential theory for symmetric stable processes. It also contains new results on the two-sided estimates for Green functions Poisson kernels and Martin kernels of discontinuous symmetric $alpha$ -stable process in bounded $C^{1,1}$ open sets. The new results give ex-plicit information on how the comparing constants depend on pa-rametrer $alpha$ and consequently recover the green function and Poisson kernel estimates for Brownian motion by passing $alpha{\uparrow}2$. In addition to these new estimates this paper surveys recent progress in the study of notions of harmonicity integral representation of harmonic func-tions boundary harnack inequality conditional gauge and intrinsic ultracontractivity for symmetric stable processes. Here is a table of contents.

Characterization of Internal Reorientation of Methyl Group in 2,6-Dichlorotoluene

  • Nam-Goong, Hyun;Rho, Jung-Rae
    • 한국자기공명학회논문지
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    • 제13권1호
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    • pp.35-55
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    • 2009
  • The two correlation times previously obtained in our coupled $^{13}C$ relaxation measurement for the methyl group in 2,6-dichlorotoluene may be used as a criterion for evaluating the reorientation dynamics of an internal rotor. We numerically tested an extended diffusion model and the Smoluchowski diffusion equation to see how the rotational inertial effect and jump character contribute to the internal correlation time ratio of the internal rotor. We also analytically solved the general jump model with three different rate constants in a sixfold symmetric potential barrier. By assuming that the internal rotation of the methyl group in 2,6-dichlorotoluene can be described in terms of jumps among sixfold harmonic potential wells, we can conclude that the jump model satisfactorily reproduce the experimental data and the rate for sixfold jump is at least 1.53 times as great as that of a threefold jump.