• Title/Summary/Keyword: Integral calculation

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Fast Analysis of Fractal Antenna by Using FMM (FMM에 의한 프랙탈 안테나 고속 해석)

  • Kim, Yo-Sik;Lee, Kwang-Jae;Kim, Kun-Woo;Oh, Kyung-Hyun;Lee, Taek-Kyung;Lee, Jae-Wook
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.2
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    • pp.121-129
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    • 2008
  • In this paper, we present a fast analysis of multilayer microstrip fractal structure by using the fast multipole method (FMM). In the analysis, accurate spatial green's functions from the real-axis integration method(RAIM) are employed to solve the mixed potential integral equation(MPIE) with FMM algorithm. MoM's iteration and memory requirement is $O(N^2)$ in case of calculation using the green function. the problem is the unknown number N can be extremely large for calculation of large scale objects and high accuracy. To improve these problem is fast algorithm FMM. FMM use the addition theorem of green function. So, it reduce the complexity of a matrix-vector multiplication and reduce the cost of calculation to the order of $O(N^{1.5})$, The efficiency is proved from comparing calculation results of the moment method and Fast algorithm.

A Study on a High Speed Computational Scheme for the Reflected IR Signal Component by Considering the BRDF (BRDF를 고려한 적외선 신호의 반사 성분 고속 연산기법에 관한 연구)

  • Kim, Dong-Geon;Han, Kuk-Il;Choi, Jun-Hyuk;Choi, Soon-Ho;Kim, Tae-Kuk
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.1
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    • pp.18-24
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    • 2017
  • This paper is a part of developing a computer code that can be used to generate synthetic IR images by calculating the outgoing infrared signal from objects. To predict the reflected component that is a part of the outgoing IR signal, such as those components reflected from the target surface by the solar and sky irradiations, it is necessary to calculate the complicated BRDF values for considering the directional surface reflection characteristics. Since the calculation of reflectance using the BRDF requires a large amount of computation time due to the hemispherical integral term, it is frequently restricted in applying for a real-time prediction of IR signal. In this research, the simplified method for calculating IR reflected component has been proposed by replacing the integral terms into two parts, a directionally uniform component and a step function representing the specular component, to reduce computation time. The proposed method is proved to result in very fast calculation of the BRDF (up to 600 times faster calculations) for most of the surfaces with minimal loss of the accuracy.

Evaluation of a Back Face Strain Compliance of CT specimen (CT시험편의 Back Face Strain Compliance 평가)

  • Kim, Won Beom
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.12
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    • pp.686-691
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    • 2016
  • In welded steel structures, there are many stress concentration sites such as weld beads, and welding defects are likely to occur at the welded parts. When a repeated fatigue load acts on a stress concentration site, fatigue crack occurs and propagates, leading to fatigue fracture. Therefore, it is necessary to understand fatigue life, crack initiation life, and crack propagation life in order to prevent fatigue failure. In this study, a compliance method was derived for use in the study of fatigue crack propagation characteristics. This compliance can be used for automated measurement of fatigue cracks. The compliance was calculated using an in-house FEM program for a CT specimen. The results of this calculation are presented in relation to a/W and compared with calculation results using the J integral and a program from a previous study. In addition, the strain distribution in the upward and downward directions was calculated from the center of the back face of the CT specimen. In this distribution, the strain tended to decrease from the center to the top and bottom. The compliance method was achieved from these calculations and can be used for automatic execution of crack propagation tests.

A study on the Array of Circular Loop Antenna in Moving Media (차동기질내에서 위형 루우프 안테나의 배열에 관한 연구)

  • 최병하
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.11 no.6
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    • pp.33-37
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    • 1974
  • In this paper, the radiation characteristics for the array of a circular loop antenna is studied in moving media. The medium is assumed to be homogeneous, isotropic, and to move with a constant velocity much less than the speed of light. The integral equation for the current distribution is derived and the current functions is found by means of courier Series as a solution of the integral equation. The electric field is derived from the current on circular loop antenna and the Dyadic Green's Function in moving media. The numerical calculation of the electric field concerning to the two element antenna array,, in which one element is parasitic, is carried out. The field patterns are plotted from the computed values. As a result, the field patterns in moving media, compared with the patterns in stationary media, are found to decrease in the direction of media velocity and increase in the opposite direction, and the maximum directivity is shifted.

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Run-up and Evolution of Solitary Waves on Steep Slopes (급경사에서 고립파의 처오름과 진행과정)

  • 조용식
    • Water for future
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    • v.28 no.6
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    • pp.159-168
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    • 1995
  • The run-up and the evolution of solitary waves on steep beaches are investigated by using a two-dimensional boundary integral equation model. The model is first used to compute the run-up heights of solitary waves on a relatively mind slope. The model is verified by comparing the computed numerical solutions with available experimental data, other numerical solutions and approximated analytical solutions. The agreement between the present numerical solutions and the other data is found to be excellent. The model is then applied to the calculation of run-up heights on very steep slopes. As far as the maximum run-up of solitary waves is concerned, the boundary integral equation model provides reasonable and reliable solutions. Finally, the evolution on steep beaches is also examined and the obtained wave heights are compared with those calculated from the Green's law.

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A Numerical Study of a Free Molecular Flow in the Turbomolecular Pump (터보 분자 펌프(Turbomolecular pump)내의 자유 분자 유동에 관한 수치 해석적 연구)

  • Hwang, Y.K.;Heo, J.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.8 no.2
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    • pp.219-229
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    • 1996
  • In the free molecular flow range, the pumping performance of a turbomolecular pump has been predicted by calculation of the transmission probability employing the integral method and the test particle Monte-Carlo method. The velocities of molecules incident upon a moving blade are given by the random numbers, which are sampled from the Maxwell molecular velocity distribution function. The present results agree quantitatively with the previous known numerical results. For a multi-stage pump, the velocity profile of molecules between two blade rows is not Maxwell distribution. In this case, the Monte-Carlo method is employed to calculate the overall transmission probability for the entire set of blade rows. When the results of the approximate method combining the single stage solutions are compared with those of the Monte-Carlo method for the pump having six rows at C=0.6, the approximate method overestimates as much as 36% in the maximum compression ratio and 19% in the maximum pumping speed than does the Mote-Carlo method.

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A study on Robust Feature Image for Texture Classification and Detection (텍스쳐 분류 및 검출을 위한 강인한 특징이미지에 관한 연구)

  • Kim, Young-Sub;Ahn, Jong-Young;Kim, Sang-Bum;Hur, Kang-In
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.10 no.5
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    • pp.133-138
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    • 2010
  • In this paper, we make up a feature image including spatial properties and statistical properties on image, and format covariance matrices using region variance magnitudes. By using it to texture classification, this paper puts a proposal for tough texture classification way to illumination, noise and rotation. Also we offer a way to minimalize performance time of texture classification using integral image expressing middle image for fast calculation of region sum. To estimate performance evaluation of proposed way, this paper use a Brodatz texture image, and so conduct a noise addition and histogram specification and create rotation image. And then we conduct an experiment and get better performance over 96%.

Analysis of the Transversely fed EMC Microstrip Dipole Array Antenna (급전선과 직교된 전자기결합 마이크로스트립 다이폴 배열안테나의 해석)

  • 손영수;윤현보
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.7 no.2
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    • pp.105-116
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    • 1996
  • The design and analysis of the transversely fed EMC(electromagnetically coupled) microstrip dipole have been accomplished by using the integral equation and MOM(method of moment)in frequency domain in order to find the current distribution of the dipole. In this study, we proposed the possibilities for design and analysis of EMC micro-strip dipole array antenna by means of calculating the current distribution of each dipole directly using the FDTD(finite difference time domain) method. In this case, we applied the formulation which is the finite difference expression of the Maxwell's integral equation. From the current distribution of each dipole, we calculated the far field electric component and showed that the calculation process and running time was reduced with respect to the method which calculates the radiation field with surface electric and magnetic current density.

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Remodeling of Hull Form and Calculation of Design Parameters using Cubic Composite Spline (3차 복합 스플라인을 이용한 선형의 리모델링 및 설계 파라메터 계산)

  • Son, Hye-Jong;Kim, Hyun-Cheol
    • Korean Journal of Computational Design and Engineering
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    • v.13 no.6
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    • pp.440-449
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    • 2008
  • This paper deals with a method calculating various hull form parameters which are required in numerical analysis for ship performance such as motion, maneuverability, resistance and propulsion, etc. After the hull form is designed, before the model tests the ship's performances are evaluated by various analysis tools in which the hull form parameters are used with many kinds of forms aside from offset data. Here, The hull form parameters characterize the properties of hull form and contain positional, differential and integral information implicitly. Generally, the commercial CAD-system has not functions enough for supporting these form parameters and therefore each shipyard uses its own in-house analysis program as well as commercial analysis software. To overcome these limitations, modules for supporting these analysis programs have developed. The modules contain cubic composite spline cure using local curve fairing, intersect algorithm, Gaussian integral, and other geometric techniques needed in calculating hull form parameters. Using our analysis-supporting modules, a complex hull form can be remodeled exactly to the hull form designed by CAD-system and any hull form parameter required in various performance analyses can be calculated.

Finite Element Analysis of the Neutron Transport Equation in Spherical Geometry (구형에서 중성자 수송방정식의 유한요소법에 의한 해석)

  • Kim, Yong-Ill;Kim, Jong-Kyung;Suk, Soo-Dong
    • Nuclear Engineering and Technology
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    • v.24 no.3
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    • pp.319-328
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    • 1992
  • The Galerkin formulation of the finite element method is applied to the integral law of the first-order form of the one-group neutron transport equation in one-dimensional spherical geometry. Piecewise linear or quadratic Lagrange polynomials are utilized in the integral law for the angular flux to establish a set of linear algebraic equations. Numerical analyses are performed for the scalar flux distribution in a heterogeneous sphere as well as for the criticality problem in a uniform sphere. For the criticality problems in the uniform sphere, the results of the finite element method, with the use of continuous finite elements in space and angle, are compared with the exact solutions. In the heterogeneous problem, the scalar flux distribution obtained by using discontinuous angular and spatical finite elements is in good agreement with that from the ANISN code calculation.

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