• Title/Summary/Keyword: Green's function

Search Result 531, Processing Time 0.027 seconds

Analytical methods for determination of double-K fracture parameters of concrete

  • Kumar, Shailendra;Pandey, Shashi Ranjan;Srivastava, A.K.L.
    • Advances in concrete construction
    • /
    • v.1 no.4
    • /
    • pp.319-340
    • /
    • 2013
  • This paper presents a comparative study on the double-K fracture parameters of concrete obtained using four existing analytical methods such as Gauss-Chebyshev integral method, simplified Green's function method, weight function method and simplified equivalent cohesive force method. Two specimen geometries: three point bend test and compact tension specimen for sizes 100-500 mm at initial notch length to depth ratios 0.25 and 0.4 are used for the comparative study. The required input parameters for determining the double-K fracture parameters are derived from the developed fictitious crack model. It is found that the cohesive toughness and initial cracking toughness determined using weight function method and simplified equivalent cohesive force method agree well with those obtained using Gauss-Chebyshev integral method whereas these fracture parameters determined using simplified Green's function method deviates more than by 11% and 20% respectively as compared with those obtained using Gauss-Chebyshev integral method. It is also shown that all the fracture parameters related with double-K model are size dependent.

NUMERICAL METHOD IN WAVE-BODY INTERACTIONS

  • MOUSAVIZADEGAN S. H.;RAHMAN M.
    • Journal of applied mathematics & informatics
    • /
    • v.17 no.1_2_3
    • /
    • pp.73-91
    • /
    • 2005
  • The application of Green's function in calculation of flow characteristics around submerged and floating bodies due to a regular wave is presented. It is assumed that the fluid is homogeneous, inviscid and incompressible, the flow is irrotational and all body motions are small. Two methods based on the boundary integral equation method (BIEM) are applied to solve associated problems. The first is a low order panel method with triangular flat patches and uniform distribution of velocity potential on each panel. The second method is a high order panel method in which the kernels of the integral equations are modified to make it nonsingular and amenable to solution by the Gaussian quadrature formula. The calculations are performed on a submerged sphere and some floating spheroids of different aspect ratios. The excellent level of agreement with the analytical solutions shows that the second method is more accurate and reliable.

Forced vibration of surface foundation on multi-layered half space

  • Chen, Lin
    • Structural Engineering and Mechanics
    • /
    • v.54 no.4
    • /
    • pp.623-648
    • /
    • 2015
  • A numerical approach is presented for the analysis of the forced vibration of a rigid surface foundation with arbitrary shape. In the analysis, the foundation is discretized into a number of sub squaree-lements. The dynamic response within each sub-element is described by the Green's function, which is obtained by the Fourier-Bessel transform and Precise Integration Method (PIM). Incorporating the displacement boundary condition and force equilibrium of the foundation, it obtains a system of linear algebraic equation in terms of the contact forces within each sub-element. Solving the equation leads to the desired dynamic impedance functions of the foundation. Numerical results are obtained for foundation not only with simple geometrical configurations, such as rectangular and circular foundation, but also the case of irregularly shaped foundation. Several comparisons between the proposed approach and other methods are made. Very good agreement is reached. Also, parametric studies are carried out on the dynamic response of foundation. Addressed in this study are the effects of Poisson's ratio, material damping and contact condition of soil-foundation interface. Several conclusions are drawn the significance of the factors.

Analysis of Rectangular Ring Microstrip Antenna (사각 링 마이크로스트립 안테나 해석)

  • 서동국;박병우
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.15 no.1
    • /
    • pp.60-67
    • /
    • 2004
  • In this paper, a rectangular ring microstrip patch antenna has been analyzed by using desegmentation method and evaluation impedance matrices from Green's functions fur rectangular segment and desegmentation method for analysis of planar electro-magnetic structures is discussed. As the rectangular ring cavity could be seen as a structure subtracted a small rectangular cavity from a large one, the overall impedance matrix was obtained by applying a multiport connection method to the individual impedance matrices expressed as a term of Green's function fer rectangular segment. The electromagnetic fields can be solved from a vector potential which is satisfied it's eight boundary conditions. The electric field distribution at each edges was expressed as a histogram table with exciting modes. These results can be used to analyze the operational modes for a rectangular ring microstrip antennas.

An IE-FFT Algorithm to Analyze PEC Objects for MFIE Formulation

  • Seo, Seung Mo
    • Journal of electromagnetic engineering and science
    • /
    • v.19 no.1
    • /
    • pp.6-12
    • /
    • 2019
  • An IE-FFT algorithm is implemented and applied to the electromagnetic (EM) solution of perfect electric conducting (PEC) scattering problems. The solution of the method of moments (MoM), based on the magnetic field integral equation (MFIE), is obtained for PEC objects with closed surfaces. The IE-FFT algorithm uses a uniform Cartesian grid to apply a global fast Fourier transform (FFT), which leads to significantly reduce memory requirement and speed up CPU with an iterative solver. The IE-FFT algorithm utilizes two discretizations, one for the unknown induced surface current on the planar triangular patches of 3D arbitrary geometries and the other on a uniform Cartesian grid for interpolating the free-space Green's function. The uniform interpolation of the Green's functions allows for a global FFT for far-field interaction terms, and the near-field interaction terms should be adequately corrected. A 3D block-Toeplitz structure for the Lagrangian interpolation of the Green's function is proposed. The MFIE formulation with the IE-FFT algorithm, without the help of a preconditioner, is converged in certain iterations with a generalized minimal residual (GMRES) method. The complexity of the IE-FFT is found to be approximately $O(N^{1.5})$and $O(N^{1.5}logN)$ for memory requirements and CPU time, respectively.

A Closed-form Green마s Function for Top-Covered Microstrip Substrate (Top-Covered 마이크로스트립구조의 Closed-form 그린함수)

  • 김건우;고지환;이영순;조영기
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
    • /
    • 2002.11a
    • /
    • pp.109-112
    • /
    • 2002
  • So far, the closed-form Green's functions have been derived almost for th open microstrip structures. In the present study, closed-form Green's functions for a top-covered microstrip structure are derived. And an effect of top-cover is discussed in comparison with open structure.

  • PDF

Highly Luminescent (Zn0.6Sr0.3Mg0.1)2Ga2S5:Eu2+ Green Phosphors for a White Light-Emitting Diode

  • Jeong, Yong-Kwang;Cho, Dong-Hee;Kim, Kwang-Bok;Kang, Jun-Gill
    • Bulletin of the Korean Chemical Society
    • /
    • v.33 no.8
    • /
    • pp.2523-2528
    • /
    • 2012
  • Green phosphors $(Zn_{1-a-b}M_aM^{\prime}_b)_xGa_yS_{x+3y/2}:Eu^{2+}$ (M, M' = alkali earth ions) with x = 2 and y = 2-5 were prepared, starting from ZnO, MgO, $SrCO_3$, $Ga_2O_3$, $Eu_2O_3$, and S with a flux $NH_4F$ using a conventional solidstate reaction. A phosphor with the composition of $(Zn_{0.6}Sr_{0.3}Mg_{0.1})_2Ga_2S_5:Eu^{2+}$ produced the strongest luminescence at a 460-nm excitation. The observed XRD patterns indicated that the optimized phosphor consisted of two components: zinc thiogallate and zinc sulfide. The characteristic green luminescence of the $ZnS:Eu^{2+}$ component on excitation at 460 nm was attributed to the donor-acceptor ($D_{ZnGa_2S_4}-A_{ZnS}$) recombination in the hybrid boundary. The optimized green phosphor converted 17.9% of the absorbed blue light into luminescence. For the fabrication of light-emitting diode (LED), the optimized phosphor was coated with MgO using magnesium nitrate to overcome their weakness against moisture. The MgO-coated green phosphor was fabricated with a blue GaN LED, and the chromaticity index of the phosphor-cast LED (pc-LED) was investigated as a function of the wt % of the optimized phosphor. White LEDs were fabricated by pasting the optimized green (G) and the red (R) phosphors, and the commercial yellow (Y) phosphor on the blue chips. The three-band pc-WLED resulted in improved color rendering index (CRI) and corrected color temperature (CCT), compared with those of the two-band pc-WLED.

Verification of lavender(Lavandula angustifolia cv.Hidcote) and lawn(Zoysia japonica Steud.)'s Curative Effect, as a Green Space Composition Factor (녹지구성 인자로써 라벤더(Lavandula angustifolia cv.Hidcote)와 잔디(Zoysia japonica Steud.)의 치유적 효과)

  • Yutaka, Iwasaki;Kim, Yu-Yeong;Cho, Tae-Dong
    • Journal of Environmental Science International
    • /
    • v.21 no.12
    • /
    • pp.1487-1494
    • /
    • 2012
  • This study has been carried out to verify curative effect of lavender and lawn, a green space composition factor. Thus, the physiological index value of blood pressure, heart rate and salivary amylase were measured with object of 16 women in their 20~30s for stress relaxation effect at lavender garden and lawn square, and impression assessment upon SD method as for psychological value was performed in this study. And a survey was conducted on necessity and reason of urban green space with object of 345 men and women urban workers. As a result of variance analysis between groups and multi test of Turkey upon object place, the blood pressure was lowered the same at lavender garden and lawn square, and especially, high blood pressure was greatly lowered to 30 mmHG at lavender garden. On the other hand, low blood pressure group showed the tendency of a little increasing at the same places. And for the pulse, there was difference between high blood pressure group and normal group at the same places. To conclude, at lavender garden and lawn square the blood pressure was made to be lowered when it's high, and when it's low, the effect of returning to sound status, the function of increasing, was verified. In case of impression assessment upon SD method, the lawn square was assessed as resting place and lavender garden diversional place. And over 90% of urban workers responded to the green space's necessity and curative effect, diversion and resting place were adopted for the reason in high-ranking items. As above the green space pattern that urban workers require and curative effect of lavender garden and lawn square were verified. Therefore, the functional green space plan is required, which curative effect, diversion and resting place are considered, for the future green space plan design.

Formulation of the Green's Functions for Coplanar Waveguide Microwave Devices as Genetic Algorithm-Based Complex Images

  • Han, DaJung;Lee, ChangHyeong;Kahng, Sungtek
    • Journal of Electrical Engineering and Technology
    • /
    • v.12 no.4
    • /
    • pp.1600-1604
    • /
    • 2017
  • A new Complex Image Method based on Genetic Algorithm (GA) is proposed to calculate the Green's functions of CPW (coplanar waveguide)-type microwave components and antennas. The closed-forms of the spectral-domain integrals are obtained by the GA, avoiding the conventional procedures of the tedious linear algebra and the sampling conditions sensitive to the complex-variable sampling paths adopted in the Prony's and GPOF methods. The proposed method is compared with the numerical Sommerfeld Integral, which results in good agreement.

Second Order Effect Induced by a Forced Heaving

  • Kim, Won-Joong;Kwon, Sun-Hong
    • Journal of Advanced Research in Ocean Engineering
    • /
    • v.2 no.1
    • /
    • pp.12-21
    • /
    • 2016
  • In this paper, the $2^{nd}$ order hydrodynamic force effect of heaving submerged circular cylinder is considered, with the linear potential theory. Boundary value problem (BVP) is expanded up to the $2^{nd}$ order by using of the perturbation method and the $2^{nd}$ order velocity potential is calculated by means of integral equation technique using the classical Green's function expressed in cylindrical coordinates. The method of solving BVP is based on eigenfunction expansions. With different cylinder heights and heaving frequencies, graphical results are presented. As a result of the study, the cause of oscillatory force pattern is analyzed with the occurrence of negative added mass when a top of the cylinder gets closer to the free surface.