• 제목/요약/키워드: Fourier method

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비축대칭 하중을 받는 원통형 쉘의 단순화 해석 (A Simple Analysis of the Cylindrical Shell Subjected to a Nonaxisymmetric Load)

  • 남문희;이관희
    • 한국전산구조공학회논문집
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    • 제13권2호
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    • pp.179-187
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    • 2000
  • 비축대칭 하중을 받는 축대칭 쉘의 해석시 구조의 축대칭성을 고려하면 시간과 노력을 절약할 수 있다. 하중과 변위에 대하여 원주방향으로 Fourier 급수전개를 고려함으로서 비축대칭하중을 받는 축대칭 쉘의 해석은 뼈대요소처럼 취급할 수 있다. 본 논문에서는 Fourier 급수전개를 이용한 통상의 유한요소법에 의하여 비축대칭 하중을 받는 원형탱크의 강성행렬을 유도하고, 이 강성행렬을 행렬의 조작에 의해 전달행렬로 전환하여 전달행렬법을 적용하였다. 이 논문은 비축대칭하중을 받는 축대칭 쉘의 해석을 위한 연립방정식의 수를 최소화하는데 그 목적이 있다. 제안된 방법에 의한 풍하중과 물하중을 받는 원형탱크의 해석결과는 타 방법에 의한 해석결과와 잘 일치하고 있다.

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Fourier 변환 모아레 간섭에 의한 이차원적 변형률 해석 (Tow-dimensional Strain Analysis by Fourier Transform Moire Interferometry)

  • 박두원;도전 태조;삼본 길춘;한응교
    • 비파괴검사학회지
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    • 제12권1호
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    • pp.16-24
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    • 1992
  • Moire interferometry using a diffraction grating and a laser is a powerful technique for analizing small deformation of a specimen. In the method, the x and y-directional fringe patterns are obtained by using the x and y-directional sets of two beams. If the both sets of two beams are simultaneously incident to the specimen, the x and y-directional fringe patterns are super imposed. In this case, it is difficult to separate each directional fringe pattern. Therefore each fringe pattern has been separately recorded by selecting each set of two beams. In order to analyze a two-dimensional strain changing with time, Moire interferometry using the two-dimensional fourier transform method is proposed and the x and y-directional fringes are separated. By this method, the thermal deformation of a glass plate is analyzed.

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SEM에 의한 전자파 펄스 반응의 해석

  • 이택경
    • 한국전자파학회지:전자파기술
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    • 제4권2호
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    • pp.82-90
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    • 1993
  • 전자파에 의한 산란현상의 해석은 지금까지 주로 시간조화함수의 형태를 지닌 전원에 의한 정 상상태의 산란에 관하여 이루어졌다. 그러나 레이다나 피파괴 검사, 전송선로 점검 등의 응용에서는 주로 펄스형태의 전자파를 사용하며, 따라서 시간에 따라 변화하는 함수형태의 전원에 의한 전자파의 산란해 석이 중요한 문제로 등장하였다. 또한 통신선로에서 외부의 잡음에 대한 혼신 등을 해석하거나, 낙뢰가 송 전선로에 미치는 영향을 해석하는 데에도 펄스신호의 산란해석이 필수적이다. 일반적인 함수의 형태를 지닌 전원에 의한 산란현상을 해석하기 위해서는 전원함수를 Fourier 변환하 여 주파수 영역의 스펙트럼을 구하고, 주파수영역에서의 산란해를 이용하여 Fourier 역변환을 하여 시간 영역의 해를 구할 수 있다. 주파수 영역에서의 산란판의 해를 Fourier 역변환 하기 위해서는 적분을 행하여야 하며, 일반적으로 적분과정에서 매우 복잡한 계산이 필요하고, 산란체의 구조가 복잡하여 해석 적인 해를 구할수 없는 경우에는 해석적으로 시간영역의 해를 구하는 것이 불가능하다. 시변 함수에 의 한 산란파를 구하기 위한 수치해석적 방법으로는 모멘트방법이나 유한요소법(Finite Element Method), 경계요소법(Boundary Element Method), 유한차분법(Finite Difference Method)등이 있으며, 해석적 해 를구할 수 없는 경우에 적용할 수 있는 반면에 많은 계산량이 요구된다.

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Rapid Defect Inspection of Display Device with Optical Spatial Filtering

  • Yoon, Dong-Seon;Kim, Seung-Woo
    • International Journal of Precision Engineering and Manufacturing
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    • 제1권1호
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    • pp.56-61
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    • 2000
  • We present a fast inspection method of machine vision for in-line quality assurance of liquid crystal displays(LCD) and plasma display panels(PDP). The method incorporates an optical spatial filter in the Fourier plane of the imaging optics to block the normal periodic pattern, extracting only defects real time without relying on intensive software image process. Special emphasis is on designing a collimated white light source to provide high degree of spatial coherence for effective real time Fourier transform. At the same time, a low level of temporal coherence is attained to improve defect detection capabilities by avoiding undesirable coherent noises. Experimental results show that the proposed inspection method offers a detection accuracy of 15% tolerance, which is sufficient for industrial applications.

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랜덤 위상 마스크를 이용한 광 메모리에서의 암호화 특성 (Characteristics of encryption in optical memory using random phase mask)

  • 최진산;양병춘;이병호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 C
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    • pp.1128-1130
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    • 1999
  • Optical encoding method of images using random-phase encoding in both input and Fourier Planes was proposed by Javidi and his group, and the method was realized experimentally by Singh and his group with use of a photorefractive crystal and a phase conjugate wave.[1-2] Recently various techniques have been proposed theorically and experimentally. These include the method using one random-phase mask in the Fourier plane or two random-phase masks in the input and the Fresnel planes.[3] We demonstrate the difference and the problem of the methods using one or two random-phase masks in the Fourier or Fresnel plane. We perform the encoding and decoding in $LiNbO_3$ crystal using degenerate four-wave mixing.

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크랭크축 각속도의 변동을 이용한 실린더내 압력 변화 추정(2) (Estimation of Cylinder Pressure Variation Using the Crankshaft Speed Fluctuation(2))

  • 임병진;박종범;임인건;배상수;김응서
    • 한국자동차공학회논문집
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    • 제3권2호
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    • pp.42-50
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    • 1995
  • This paper proposes a new method to investigate combustion phenomena using the variation of crankshaft speed, From the idea that the variation of crankshaft speed contains the information of combustion, the energy method is applied as a single degree of freedom. Through the comparison of measured and calculated crankshaft speed, the proposed energy model is proved to be effective. When the crankshaft speed is used in the energy equation, filtering of the speed is required. The frequency components of cylinder pressure are analyzed and the coefficients of Fourier series above the twelfth frequency of engine speed are considered as a noise. As an example of application of this research, some combustion analyses like mean effective pressure, heat release rate, and misfire detection were carried out.

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상태변수 평균화법에 의한 삼상 ICB회로 해석 (Analysis of the Three Phase Inductor-Converter Bridge Circuit by Means of State-Space Averaging Method.)

  • 박민호;홍순찬;최익;오수홍
    • 대한전기학회논문지
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    • 제38권9호
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    • pp.701-709
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    • 1989
  • The time-averaged behavior of the three-phase Inductor-Converter Bridge (ICB) circuit has been analyzed by using the state-space averaging method. Especially, a second order approximation in the matrix expansion makes the analysis possible. The results are in a closed form which is quite different from the conventional solution obtained by using the Fourier Series. Therefore, the computational difficulties in evaluating the infinite Fourier series can be avoided and the results derived in this paper are available expecially in real time control. By comparing with the Fourier result, it has been verified that the analysis by means of the state-space averaging method is more accurate and simple. The digital simulation and the equivalent experiments have also been carried out to confirm the theoretical results.

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Free vibration analysis of rotating cantilever plates using the p-version of the finite element method

  • Hamza-Cherif, Sidi Mohammed
    • Structural Engineering and Mechanics
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    • 제22권2호
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    • pp.151-167
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    • 2006
  • A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson's ratio and the hub radius on the natural frequencies are investigated.

Generating a True Color Image with Data from Scanning White-Light Interferometry by Using a Fourier Transform

  • Kim, Jin-Yong;Kim, Seungjae;Kim, Min-Gyu;Pahk, Heui Jae
    • Current Optics and Photonics
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    • 제3권5호
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    • pp.408-414
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    • 2019
  • In this paper we propose a method to generate a true color image in scanning white-light interferometry (SWLI). Previously, a true color image was obtained by using a color camera, or an RGB multichannel light source. Here we focused on acquiring a true color image without any hardware changes in basic SWLI, in which a monochrome camera is utilized. A Fourier transform method was used to obtain the spectral intensity distributions of the light reflected from the sample. RGB filtering was applied to the intensity distributions, to determine RGB values from the spectral intensity. Through color corrections, a true color image was generated from the RGB values. The image generated by the proposed method was verified on the basis of the RGB distance and peak signal-to-noise ratio analysis for its effectiveness.

Signal processing method of bubble detection in sodium flow based on inverse Fourier transform to calculate energy ratio

  • Xu, Wei;Xu, Ke-Jun;Yu, Xin-Long;Huang, Ya;Wu, Wen-Kai
    • Nuclear Engineering and Technology
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    • 제53권9호
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    • pp.3122-3125
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    • 2021
  • Electromagnetic vortex flowmeter is a new type of instrument for detecting leakage of steam generator, and the signal processing method based on the envelope to calculate energy ratio can effectively detect bubbles in sodium flow. The signal processing method is not affected by changes in the amplitude of the sensor output signal, which is caused by changes in magnetic field strength and other factors. However, the detection sensitivity of the electromagnetic vortex flowmeter is reduced. To this end, a signal processing method based on inverse Fourier transform to calculate energy ratio is proposed. According to the difference between the frequency band of the bubble noise signal and the flow signal, only the amplitude in the frequency band of the flow signal is retained in the frequency domain, and then the flow signal is obtained by the inverse Fourier transform method, thereby calculating the energy ratio. Using this method to process the experimental data, the results show that it can detect 0.1 g/s leak rate of water in the steam generator, and its performance is significantly better than that of the signal processing method based on the envelope to calculate energy ratio.