• 제목/요약/키워드: Green's Function Approach

검색결과 68건 처리시간 0.034초

Seismic response of a rigid foundation embedded in a viscoelastic soil by taking into account the soil-foundation interaction

  • Messioud, Salah;Sbartai, Badreddine;Dias, Daniel
    • Structural Engineering and Mechanics
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    • 제58권5호
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    • pp.887-903
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    • 2016
  • This study analyses the seismic response of a three-dimensional (3-D) rigid massless square foundation resting or embedded in a viscoelastic soil limited by rigid bedrock. The foundation is subjected to harmonic oblique seismic waves P, SV, SH and R. The key step is the characterization of the soil-foundation interaction by computing the impedance matrix and the input motion matrix. A 3-D frequency boundary element method (BEM) in conjunction with the thin layer method (TLM) is adapted for the seismic analysis of the foundation. The dynamic response of the rigid foundation is solved from the wave equations by taking into account the soil-foundation interaction. The solution is formulated using the frequency BEM with the Green's function obtained from the TLM. This approach has been applied to analyze the effect of soilstructure interaction on the seismic response of the foundation as a function of the kind of incident waves, the angles of incident waves, the wave's frequencies and the embedding of foundation. The parametric results show that the non-vertical incident waves, the embedment of foundation, and the wave's frequencies have important impact on the dynamic response of rigid foundations.

Development of magnetism in armchair graphene nanoribbons with edge functionalizations: A first-principles study

  • Shin, Dongjae;Kim, Yong-Hoon
    • EDISON SW 활용 경진대회 논문집
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    • 제6회(2017년)
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    • pp.376-382
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    • 2017
  • Graphene nanoribbons with zigzag-shaped edge (zGNRs) are predicted to be magnetic insulator at the ground state, attracting significant interest in view of spintronic applications [1]. On the other hand, although they are energetically and thermodynamically more favored than zGNRs [2], graphene nanoribbons with armchair-shaped edge (aGNRs) have been less spotlighted than zGNRs due to the absence of magnetism. Herein, based on the combined density functional theory (DFT) and matrix Green's function (MGF) approach, we consider aGNRs functionalized with various molecular groups, and show that the spin polarizations develop for some of the considered aGNR edge functionalization cases. The origin of the induced magnetism will be discussed within the Lieb's theorem [3]. This work will provide a novel guidance for the development of graphene-based spintronic devices.

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녹지축의 생태적 기능 강화를 위한 도시녹지 연결경로 도출 연구 - 수원시 대상 - (Research on the Urban Green Space Connection Paths forthe Enhancement of Ecological Function - Focused on Suwon -)

  • 최재연;김수련;박찬;송원경;정경민;김은영
    • 환경영향평가
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    • 제31권4호
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    • pp.201-213
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    • 2022
  • 도시의 환경문제 해결과 관리방안으로 자연기반해법(Nature based Solution, NbS)이 대두되면서 도시지역의 녹지 확보 및 관리가 강조되고 있다. 개발 압력이 높은 도시지역은 녹지의 파편화 및 단절로 도시녹지의 연속성 확보를 위한 계획적 접근이 필요하다. 그러나 현행 제도에서 녹지축은 구체적인 녹지와 연결이 필요한 경로의 위치를 제공하지 못하고, 개별 녹지조성사업과 연계되지 못해 연속성 관점에서 일관된 녹지관리 체계로 활용성이 낮다. 따라서 본 연구는 NDMI (Normalized Difference Moisture Index), 불투수율, 녹지조성비용의 정보를 기반으로 연결경로를 도출할 수 있는 방안을 구상하고 수원시에 시범 적용하여 확인하였다. 본 연구에서 제안하는 방법을 통해 기존의 녹지축보다 비용효율성이 높은 구체적인 연결경로의 도출 가능성을 확인하였으며, 계획적 활용 방안에 대해서 논의하였다.

전단류중 Marine Riser의 와류유기 진동 예측모델에 관한 연구 (A Response Prediction Model for the Vortex-Induced Vibration of Marine Risers in Sheared Flow)

  • 남용운;정태영
    • 대한조선학회지
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    • 제26권2호
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    • pp.64-72
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    • 1989
  • 본 논문에서는 전단류를 받는 marine riser의 와류유기진동 예측모델을 제시하였다. 여기서는 marine riser를 인장력이 길이에 따라 변하는 보로 모델링하고, 섭동법으로 구해진 Green's function과 random vibration 이론에 의하여 예측모델을 구성하였다. 여기서 제시된 예측모델을 실제의 riser에 대하여 적용해 본 결과, riser는 전단류 내에서 유 무한 경계의 거동 특징을 동시에 갖는 중간적인 거동을 하며, riser의 길이에 따라 진동응답크기의 분포가 흐름의 유속분포와 비슷한 형태를 갖고 있는 것으로 나타났다. 또한, marine riser를 길이에 따라 변하는 인장력을 받는 보로 모델링한 경우와, 그것을 평균한 균일한 인장력을 받는 보로 모델링한 경우에 대하여 해석한 진동응답을 비교한 결과, 균일인장력을 받는 보로 모델링한 경우가 riser의 수면근처에서 실제보다 큰 예측치를 주고 있는 것으로 나타났다.

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Fractional Diffusion Equation Approach to the Anomalous Diffusion on Fractal Lattices

  • Huh, Dann;Lee, Jin-Uk;Lee, Sang-Youb
    • Bulletin of the Korean Chemical Society
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    • 제26권11호
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    • pp.1723-1727
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    • 2005
  • A generalized fractional diffusion equation (FDE) is presented, which describes the time-evolution of the spatial distribution of a particle performing continuous time random walk (CTRW) on a fractal lattice. For a case corresponding to the CTRW with waiting time distribution that behaves as $\psi(t) \sim (t) ^{-(\alpha+1)}$, the FDE is solved to give analytic expressions for the Green’s function and the mean squared displacement (MSD). In agreement with the previous work of Blumen et al. [Phys. Rev. Lett. 1984, 53, 1301], the time-dependence of MSD is found to be given as < $r^2(t)$ > ~ $t ^{2\alpha/dw}$, where $d_w$ is the walk dimension of the given fractal. A Monte-Carlo simulation is also performed to evaluate the range of applicability of the proposed FDE.

Binary Doping of N-B and N-P into Graphene and Graphene Nanoribbons: Structural, Electronic, and Transport properties

  • Kim, Hyo Seok;Kim, Han Seul;Kim, Seong Sik;Kim, Yong Hoon
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2013년도 제44회 동계 정기학술대회 초록집
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    • pp.647-647
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    • 2013
  • We apply a density functional theory (DFT) and DFT-based non-equilibrium Green's function approach to study the structures, energetics and charge transport characteristics of nitrogen-doped graphene and graphene nanoribbons (GNRs) with additional doping of phosphorus or boron atoms. Considering graphitic, pyridinic, and porphrin-like N doping sites and increasing N-doping concentration, we analyze the structures of N-P and N-B doped graphene and particularly focus on how they affect the charge transport along the lateral direction. For the GNRs, we also consider the differences between defects formed at the edge and bulk regions. Implications of our findings in the context of electronic and energy device applications will be also discussed.

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광대역 초음파 장 응답의 해석과 집속된 Annular Array 영상 시스템 설계에의 응용 (Analysis of Broadband Ultrasonic Field Response and its Application to the Design of Focused Annular Array System)

  • 노경태;송태경;박송배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(II)
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    • pp.1252-1255
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    • 1987
  • In this paper an approach for the analysis of the transient field response of radially symmetric transducer due to a wideband ultrasonic pulse is presented, which is based on a development of Green's function and applies the linear system theory to obtain an analytic expression for the impulse response of an annulus with a planar or spherical geometry. For the focused annular array, the impulse responses of the indivisual annuli are convolved with the delayed excitation pulse, and then summed to obtain the resultant response of the array. This process is very effective in the study of the various focusing abilities of the annular array. For illustration, the field distribution of a five element annular array is treated in detail for several focusing system.

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무한도체 평면상에 놓여있는 동축 케이블의 개구면을 통하여 복사되는 원거리 전계 (Far-Zone Electric Fields Radiated by A Coaxial Cable Through An Aperature In A Perfectly Conducting Ground Plane)

  • 최재훈;성혁재
    • 전자공학회논문지A
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    • 제31A권4호
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    • pp.56-62
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    • 1994
  • Far-zone electric fields radiated by a coaxial cable through an aperture in a perfectly conducting ground plane are calculated utilizing the dyadic Green's function and vector wave functions. In this paper the outer radius $\alpha$ is assumed to be less than 0.02 so that the aperture fields is well approximated by the dominant TEM mode in the coaxial cable. The result of present approach is compared with the readily obtained solution. The present solution is valid outside of the spherical regions with radius `$\alpha$' from the center of coaxial cable.

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GENERALIZED THERMOELASTICITY WITH TEMPERATURE DEPENDENT MODULUS OF ELASTICITY UNDER THREE THEORIES

  • Ezzat, M.;Zakaria, M.;Abdel-Bary, A.
    • Journal of applied mathematics & informatics
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    • 제14권1_2호
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    • pp.193-212
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    • 2004
  • A new model of generalized thermoelasticity equations for isotropic media with temperature-dependent mechanical properties is established. The modulus of elasticity is taken as a linear function of reference temperature. The present model is described both generalizations, Lord Shulman (L-S) theory with one relaxation time and Green-Lindsay (G-L) with two relaxation times, as well as the coupled theory, instantaneously. The method of the matrix exponential, which constitutes the basis of the state space approach of modern control theory, applied to two-dimensional equations. Laplace and Fourier integral transforms are used. The resulting formulation is applied to a problem of a thick plate subject to heating on parts of the upper and lower surfaces of the plate that varies exponentially with time. Numerical results are given and illustrated graphically for the problem considered. A comparison was made with the results obtained in case of temperature-independent modulus of elasticity in each theory.

근접음장 연속법과 등가 음원법을 이용한 음향홀로그래피 연구 (Study of Acoustic Holography using Equivalent Source Method with Continuation of Acoustic Near-field)

  • 김성훈
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 추계학술대회 논문집
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    • pp.643-648
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    • 2011
  • This paper deals with the ESM(equivalent source method) with the continuation of acoustic near-field for NAH(near-field acoustic holography) to overcome the finite measurement aperture effect and reconstruct the normal velocity on an arbitrarily shaped structure surface. The continuation method is an extension of the measured sound field into a region outside and is based on the Green's function relating acoustic quantities on the two conformal surfaces. This algorithm is not limited to planar surfaces and can be applied to arbitrarily shaped surfaces. The ESM is an alternative approach of BEM-based NAH for the reconstruction on a general structure. In ESM the acoustic field is represented by a set of point sources located over a surface that is close to the structure surface. The simulation results of this study shows that the reconstruction error of particle velocity on the source surface is 11% and 16% for planar and cylindrical sources separately.

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