• Title/Summary/Keyword: Green Function Method Green

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Thermoelastic deformation and stress analysis of a FGM rectangular Plate (경사기능재료 사각 판의 열 탄성 변형과 응력 해석)

  • Kim,Gwi-Seop
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.1
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    • pp.34-41
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    • 2003
  • A Green's function approach is adopted for analyzing the thermoelastic deformation and stress analysis of a plate made of functionally graded materials (FGMs). The solution to the 3-dimensional steady temperature is obtained by using the laminate theory. The fundamental equations for thermoelastic problems are derived in terms of out-plane deformation and in-plane force, separately. The thermoelastic deformation and the stress distributions due to the bending and in-plane forces are analyzed by using a Green’Às function based on the Galerkin method. The eigenfunctions of the Galerkin Green's function for the thermoelastic deformation and the stress distributions are approximated in terms of a series of admissible functions that satisfy the homogeneous boundary conditions of the rectangular plate. Numerical examples are carried out and effects of material properties on thermoelastic behaviors are discussed.

A Study on Complex Image Method and hybrid CIM for Spatial Domain Green Function (공간영역 Green 함수의 복소영상법과 혼합 복소영상법에 관한 연구)

  • Kim, Sang-Jin;Kim, Young-Sik;Cheon, Chang-Yul
    • Proceedings of the KIEE Conference
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    • 1998.07e
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    • pp.1831-1833
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    • 1998
  • In this paper, A complex-image method(CIM) and efficient numerical integration algorithm is implemented to evaluate the spatial-domain Green's function through the Sommerfeld-type integral with a thick substrate. CIM is compared to numerical integration technique.

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Deflection of axially functionally graded rectangular plates by Green's function method

  • Rezaiee-Pajand, Mohammad;Sani, Ahmad Aftabi;Hozhabrossadati, Seyed Mojtaba
    • Steel and Composite Structures
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    • v.30 no.1
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    • pp.57-67
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    • 2019
  • This paper deals with the static analysis of axially functionally graded rectangular plates. It is assumed that the flexural rigidity of the plate varies exponentially along one of the plate's in-plane dimensions. Both an analytical approach and a numerical method are utilized to solve the problem. The analytical solution is obtained by using the Green's function method. To employ this approach, the adjoint boundary value problem is established. Then, exact solutions for deflection of the plate for different boundary conditions are found. In another way, a finite element formulation for the problem is developed. In order to demonstrate the validity of the Authors' formulation, the results obtained via both mentioned schemes are compared with each other for functionally graded plates and with results of previously published works for homogeneous plates. The effect of plate parameters on the response of the plate is also investigated. To remind the research background, a brief review on the application of Green's function method in plates' analysis and functionally graded plates is also presented.

A Study on the Design Standard of Green Amenity Space in Interior Space (실내공간에서의 그린 어메니티 스페이스 디자인 기준에 관한 연구)

  • 한영호;김준연
    • Korean Institute of Interior Design Journal
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    • no.28
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    • pp.51-59
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    • 2001
  • This Study tried to approach with a new Point of view about Green Design that had been studied on just Aesthetics and Function and it focused on creating a pleasant environment In the Interiors combing with Horticultural therapy as advanced study in Green Design. This study is barred on understanding that nature, human and space should continue to coexist through realizing relationship between nature and human and overcoming denaturalization and dehumanization and have an opportunity to know what a pleasant space for human is. Although pleasant space can be made by many different methods, this study start from the thought that a space with plants is the best to satisfy human's basic emotion. The method of study is through research and analysis with many kinds of references and examples, and then the results were used to make design guide which introduces Green Amenity Space in residential space. The pleasant space that human pursuits should be the human-centered space as well as the space giving them mental and physical satisfaction beyond space with just function and beauty. Therefore Green Amenity Space is the best space with which human is familiar.

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A Representation of Green Function Using Discrete Wavelet Concept for Fast Field Analysis (고속 전자파 해석을 위한 그린 함수의 이산 웨이블릿 표현법)

  • Kim Hyung-Hoon;Park Jong-Il;Kim Hyeong-Dong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.17 no.9 s.112
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    • pp.895-899
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    • 2006
  • A compact representation of Green function is proposed by applying the discrete wavelet concept in the k-domain, which can be used for the acceleration of scattered field calculations in integral equation methods. Since the representation of Green function is very compact in the joint spatio-spectral domain, it can be effectively utilized in the fast computation of radiation integral of electromagnetic problems. A mathematical expression of Green function based on the discrete wavelet concept is derived and its characteristics are discussed.

A calculation method for finite depth free-surface green function

  • Liu, Yingyi;Iwashita, Hidetsugu;Hu, Changhong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.2
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    • pp.375-389
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    • 2015
  • An improved boundary element method is presented for numerical analysis of hydrodynamic behavior of marine structures. A new algorithm for numerical solution of the finite depth free-surface Green function in three dimensions is developed based on multiple series representations. The whole range of the key parameter R/h is divided into four regions, within which different representation is used to achieve fast convergence. The well-known epsilon algorithm is also adopted to accelerate the convergence. The critical convergence criteria for each representation are investigated and provided. The proposed method is validated by several well-documented benchmark problems.

Research on the Accessibility of Urban Green Space Based on Road Network- A Case Study of the Park Green Space in City Proper of Nanjing

  • Fan, Yong;Zhao, Ming-yuan;Ma, Lin;Zhao, Lan-yong
    • Journal of Forest and Environmental Science
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    • v.32 no.1
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    • pp.1-9
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    • 2016
  • Accessibility of urban green space, as an important index of evaluating the service level of urban green space, not only shows the resident's access to green space, but also reflects the environment quality of urban living. Since the quantity, area and space distribution of the patches in urban green space directly affect the function of urban green space and the quality of urban environment, the research on the accessibility of urban green space holds great significance to improve the service of urban green space and the living environment quality. Based on GIS software, this research uses the road network and the population distribution data of Nanjing's city proper to conduct quantitative analysis of the accessibility of park green space and the convenience for residents to travel under different forms of transportation. After the case analysis, the author tests the application of road network in studying the accessibility of urban park green space and proposes a GIS-based method to study the accessibility and the rational layout of urban green space.

An Analysis of Axisymmetric Two Dimensional Heat Diffusion Equation to Measure the Thermal Diffusivity of Layered Materials (積層材料의 熱擴散係數測定을 위한 軸對稱 二次元 熱擴散方程式의 解析)

  • 김진원;이흥주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.349-356
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    • 1986
  • For the extension of application in flash method measuring the thermophysical properties of materials, the heat diffusion equation with the heat transfer loss from front, rear, and circumferential surfaces of two layer cylinderical sample is mathematically analyzed by means of Green's function for axially symmetric pulse heating on the front of samples. The solutions are applied to determine the unknown thermal diffusivity of the two materials and analyzed the measurement error due to heat loss and finite pulse time effects.

Analysis of a Dipole Antenna Attached on a Dielectric Slab Using a Spectral-Domain Green's Function and the Method of Moments (주파수 영역 Green 함수와 모멘트법을 이용한 유전체 평판 부착 다이폴 안테나의 특성해석)

  • 오이석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.10
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    • pp.2703-2709
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    • 1996
  • This paper proposes an exact numerical method for analyzing a dipole antenna attached on a dielectric slab. A Green's function for an infinitesimal current filament on a dielectric slab is derived and a field integral equation is formulated using a boundary condition. The moment Method is used to solve the field integral equation to otain current distribution on the antenna. Since an asymptotic function is used to compute the impedance matrix elements, the computataion time is significantly reduced. Using the computed current distributions, the input impedances, the resonance lengths and the resonant resistances of the antennas for various values of the thichnessandthe dielectric constant of the slab are obtained. It was found that the resonant length and the resonant resistance are decrease monotonically as the dielectric constant increases, however, those are changed up-and-down as the substrate thickness increases.

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Fast Scattered-Field Calculation using Windowed Green Functions (윈도우 그린함수를 이용한 고속 산란필드 계산)

  • 주세훈;김형훈;김형동
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.7
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    • pp.1122-1130
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    • 2001
  • In this paper, by applying the spectral domain wavelet concept to Green function, a fast spectral domain calculation of scattered fields is proposed to get the solution for the radiation integral. The spectral domain wavelet transform to represent Green function is implemented equivalently in space via the constant-Q windowing technique. The radiation integral can be calculated efficiently in the spectral domain using the windowed Green function expanded by its eigen functions around the observation region. Finally, the same formulation as that of the conventional fast multipole method (FMM) is obtained through the windowed Green function and the spectral domain calculation of the radiation integral.

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