• 제목/요약/키워드: Integral Transform

검색결과 348건 처리시간 0.019초

접지면과 높이가 같은 원형 패치 안테나의 복사 특성 해석 (Radiation Properties of Flush Mounted Circular Patch Antenna)

  • 이행선
    • 한국전자파학회논문지
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    • 제17권2호
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    • pp.193-197
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    • 2006
  • 접지면과 높이가 같은 원형 패치 안테나의 복사 특성을 모드 매칭 방법을 이용하여 계산하는 방법을 제시했다. 원형 패치는 동축 케이블로 중심부에 급전이 되어 disk-loaded 모노폴 형태의 안테나 형태를 갖고 있으나 돌출부가 없다. 패치와 동축 케이블 및 접지면의 각 영역을 고유함수로 전개하고, 일반화된 산란 행렬과 적분변환을 이용하여 입력 임피던스, 복사 패턴 계산이 가능함을 보였다. 제시된 방법은 패치 안테나와 필터와 매칭 부분이 함께 있는 경우의 특성 예측에도 쓰일 수 있는 방법이다.

탄성층 사이에 접합된 압전재료의 계면균열에 대한 전기-기계적 해석 (Electro-Mechanical Analysis of Interfacial Cracks in a Piezoelectric Layer Bonded to Dissimilar Elastic Layers)

  • 정경문;김인옥;김지숙;범현규
    • 한국정밀공학회지
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    • 제19권11호
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    • pp.120-128
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    • 2002
  • Interfacial cracks in a piezoelectric layer bonded to dissimilar elastic layers under the combined anti-plane mechanical shear and in-plane electrical leadings are considered. By using Fourier cosine transform, the mixed boundary value problem is reduced to a singular integral equation which is solved numerically to determine the stress intensity factors. Numerical results for the effects of the material properties and layer geometries on the stress intensity factors are obtained.

집중질량 충격시스템의 불규칙가진에 대한 응답특성 (Response Characteristics of a Lumped Parameter Impact System under Random Excitation)

  • 이창희
    • 소음진동
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    • 제9권4호
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    • pp.778-784
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    • 1999
  • A method for obtaining the motion of an impact system whose primary and secondary system are composed of lumped masses, springs and dampers, and all the contacts are made through spring and damping elements is presented. The frequency response functions derived from the equations of motion and the impulse response functions obtained from the inverse Fourier transform of the derived frequency response functions are used for the calculation of the system responses. The procedure developed for the calculation of displacements and force time-histories was based on the convolution integrals of impulse response functions and forces applied to the systems. Time histories of displacements and contact forces are obtained for the case where a random excitation is applied to a point in the system. Impact statistics such as contact forces and the time between impacts calculated from those time histories is presented.

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Mode III SIFs for interface cracks in an FGM coating-substrate system

  • Monfared, Mojtaba Mahmoudi
    • Structural Engineering and Mechanics
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    • 제64권1호
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    • pp.71-79
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    • 2017
  • In this study, interaction of several interface cracks located between a functionally graded material (FGM) layer and an elastic layer under anti-plane deformation based on the distributed dislocation technique (DDT) is analyzed. The variation of the shear modulus of the functionally graded coating is modeled by an exponential and linear function along the thickness of the layer. The complex Fourier transform is applied to governing equation to derive a system of singular integral equations with Cauchy type kernel. These equations are solved by a numerical method to obtain the stress intensity factors (SIFs) at the crack tips. The effects of non-homogeneity parameters for exponentially and linearly form of shear modulus, the thickness of the layers and the length of crack on the SIFs for several interface cracks are investigated. The results reveal that the magnitude of SIFs decrease with increasing of FG parameter and thickness of FGM layer. The values of SIFs for FGM layer with exponential form is less than the linear form.

반비례적으로 변하는 저항율을 갖는 반평면에 의한 H 분극산란 (H-Polarized Scattering by an Inversely Tapered Resistive Half Plane)

  • 양승인;나정웅
    • 대한전자공학회논문지
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    • 제26권7호
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    • pp.1-7
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    • 1989
  • 가장자리로 부터 역비례로 저항률이 변하는 반평면에 H분극 평면파가 입사되는 경우, 산란파를 Kontorovich-Lebedev 변환을 이용해서 정확한 적분식으로 얻었으며, 이로부터 모든 각도에서 쓸 수 있는 균일 근사식 및 계산된 산란파를 광선적(光線的)으로 해석할 수 있도록 해주는 비균일 근사식도 구했다. 저항율의 상수 여러 값에 대하여 가장자리 회절 패턴을 보였다. 결과들은 물리적으로 타당함을 알 수 있었다.

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무환히 긴 도체 스트립의 TE파 산란 특성 (Scattering Characteristics of the Infinite Strip Conductor for TE Waves)

  • 장재성;이상설
    • 대한전자공학회논문지
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    • 제26권5호
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    • pp.18-22
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    • 1989
  • 무한히 긴 도체 스트립 위에 TE파가 입사될때, 스트립에 유기되는 전류 분포를 계산한다. 스트립의 경계조건식을 공간 영역의 함수로 표시하면 convolution 적분을 포함하는 복잡한 식으로 나타난다. 그러나 그들의 주파수 영역으로 변환하면 전류밀도 함수와 Green함수의 곱으로 간단히 표시된다. 전류분포의 계산 결과는 본 연구에서 제시한 반복 끝내기 조건을 만족할 때 가장 좋은 결과를 보이고 있다.

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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Choi, Junesang;Rathie, Arjun K.;Parmar, Rakesh K.
    • 호남수학학술지
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    • 제36권2호
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    • pp.357-385
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    • 2014
  • Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions. Here we aim at giving further extensions of the abovementioned extended functions and investigating various formulas for the further extended functions in a systematic manner. Moreover, our extension of the Beta function is shown to be applied to Statistics and also our extensions find some connections with other special functions and polynomials such as Laguerre polynomials, Macdonald and Whittaker functions.

불꽃試驗용 標準試片 의 熱擴散 係數 (The Thermal Diffusivity of Standard Pieces for Spark Test)

  • 차경옥;이관수;이흥주
    • 대한기계학회논문집
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    • 제7권3호
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    • pp.319-327
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    • 1983
  • The thermal diffusivity one of the series of standard pieces for spark test are determined by the flash method. The standard pieces are composed with carbon steels, structural carbon steels, alloy steels and high speed tool steels. In order to compute the thermal conductivity of the standard pieces, their specific heats are measured by a differential scanning calorimeter. The thermal conductivities are calculated from the data of specific heat, density and thermal diffusivity. To increase the accuracy of data for the thermal diffusivity by data reduction excursion method in the flash method, the governing heat diffusion equation, which is closely described experimental conditions with the finite pulse and the heat loss from the sample surfaces, is solved. In this analysis an integral transform is used.

Generation of Thermoelastic Waves by Irradiating a Metal Slab with a Line-Focused Laser Pulse

  • Yoo, Jae-Gwon;Baik, S.H.
    • 비파괴검사학회지
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    • 제26권3호
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    • pp.181-189
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    • 2006
  • A 2D finite-element numerical simulation has been developed to investigate the generation of ultrasonic waves in a homogeneous isotropic elastic slab under a line-focused laser irradiation. Discussing the physical processes involved in the thermoelastic phenomena, we describe a model for the pulsed laser generation of ultrasound in a metal slab. Addressing an analytic method, on the basis of an integral transform technique, for obtaining the solutions of the elastodynamic equation, we outline a finite element method for a numerical simulation of an ultrasonic wave propagation. We present the numerical results for the displacements and the stresses generated by a line-focused laser pulse on the surface of a stainless steel slab.

Local stress field for torsion of a penny-shaped crack in a transversely isotropic functionally graded strip

  • Feng, W.J.;Su, R.K.L.
    • Structural Engineering and Mechanics
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    • 제18권6호
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    • pp.759-768
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    • 2004
  • The torsion of a penny-shaped crack in a transversely isotropic strip is investigated in this paper. The shear moduli are functionally graded in such a way that the mathematics is tractable. Hankel transform is used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by taking the asymptotic behavior of Bessel function into account. The effects of material property parameters and geometry criterion on the stress intensity factor are investigated. Numerical results show that increasing the shear moduli's gradient and/or increasing the shear modulus in a direction perpendicular to the crack surface can suppress crack initiation and growth, and that the stress intensity factor varies little with the increasing of the strip's height.