• Title/Summary/Keyword: 점원파

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극좌표 매물형 파동방정식에 의한 변수심 점원파의 수치해석

  • 곽문수;편종근
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1998.09a
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    • pp.134-137
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    • 1998
  • 항내의 파랑장을 구하는 것은 항만설계상 중요하다. 요즈음에는 많은 경비와 노력을 요하는 수리모형실험대신에 다양한 수치해석이 행하여 지고있다. 그러나 회절 및 다중반사, 굴절 등 복잡한 파의 변형을 표현할 수 있는 수치해석 방법으로 여러 가지가 제안되어 있지만 아직 충분한 수준은 아니라고 판단된다. 등수심에 대해서는 이미 확립되어져 있는 Green함수법을 변수심장에 응용하기 위해서 변수심장에 대한 점원파(source waves)의 기본해(unit solution)를 구하는 것이 본 연구의 목적이다. (중략)

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Numerical Analysis of Waves from Point Source in Variable Depth Using Parabolic Wave Equation in Polar Coordinates (極座標 抛物形 波動方程式을 이용한 變數深 点源波의 數値解析)

  • 곽문수;편종근
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.1
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    • pp.68-74
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    • 1999
  • The Green function method is widely used for the analysis of waves in a harbor with a constant depth. In extending this method to a wave field over arbitrary depth, a generalized and convenient method is needed to obtain unit solutions for waves emerging from a point source. For this purpose, a parabolic wave equation is derived to approximate the mild-slope equation written in terms of polar coordinates. Usefulness of the equation obtained is examined through trial computations.

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Theory of Acoustic Propagation in 3 Dimensional Wedge Domain (3차원 쐐기형 영역에서의 음향파 전달 이론)

  • Seong, Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.13 no.2E
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    • pp.83-91
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    • 1994
  • Three components contribute to the acoustic field propagating in a wedge or over a ridge : a direct path arrival, an image component due to reflection from the boundaries and a component diffracted by the apex. All three contributions are included in a new, exact solution of the Helmholtz equation for the three-dimensional time harmonic field from a point source in a wedge(or over a ridge) formed by two intersecting, pressure-release plane boundaries. The solution is obtained by applying three integral transforms, and consists of and infinite sum of uncoupled normal nodes. The mode coefficients are given by a finite integral involving a Gegenbauer polynomial in the integrand, which may be computed relatively efficiently. Results of the theory for propagation over a 90 degree ridge is discussed.

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Spectral Analysis of Transient Elastic Waves Generated by Point Source in Glass and Unidirectional CFRP Plates (유리판과 단일방향 탄소섬유강화 플라스틱판에서 점원에 의해 발생된 과도적 탄성파의 주파수 해석)

  • Lee, Jeong-Ki;Kim, Ho-Chul;Choi, Myoung-Seon;Kim, Young-Hwan
    • The Journal of the Acoustical Society of Korea
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    • v.13 no.6
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    • pp.50-59
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    • 1994
  • Spectral analysis of transient elastic waves were carried out in order to identify the propagation modes in glass and unidirectional carbon fibre reinforced plastic (CFRP) plates. Pencil leads were broken on the surface of plates to generate elastic waves, and two broad band transducers of 6.35 mm in diameter and 10 MHz center frequency were placed at the linear location from the source. The frequency spectra of detected signals showed that the wave propagation in the plates obeyed the Lamb wave dispersion relation. The transient signals were the fast propagating modes around maximum group velocity of the lowest and first order symmetric $modes(S_{0} and S_{1}),$ and first order antisymmetric $mode(A_{1})$. The transient signals were not severely distorted due to relatively small dispersion of those modes around the maximum group velocity. The fastest propagating mode in the plates was shown to be $S_{0}$ mode less the than cut-off frequency of $A_{1}$ mode.

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An Approximate Closed Form Representation of the Microstrip Dyadic Surface Green's Function (Mictrostrip Dyadic 표면 Green 함수의 근사표현식)

  • 최익권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.4
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    • pp.549-560
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    • 1993
  • A simple closed form approximation is developed by a new approach presented in this paper for the microstrip surface dyadic Green's function which arises in the problem of an electric current point source on an infinite planar grounded dielectric substrate. This closed form approximation includes the effects of the space wave, the surface wave and their coupling within the transition region near the source, and remains accurate as near as $0.1{\pi}_1$ from the source point for a substrate thickness as large as $0.04{\pi}_1$, where, ${\pi}_1$, is the free space wavelength, This result can significantly facilitate the rigorous moment method analysis of microstrip antenna arrays on relatively this substrates of practical interest. Numerical results illustrating the accuracy of the closed form approximation are presented and CPU times associated with some mutual impedance calculations are also included.

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Analysis and Simulation of Ultrasonic Wave Propagation and Scattering in Unidirectional Fiber Composites (단일방향 섬유 복합재료 내의 초음파 전파 및 산란 현상의 해석과 시뮬레이션)

  • Lee, Choon-Jae;Yim, Hyun-June
    • Journal of the Korean Society for Nondestructive Testing
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    • v.21 no.3
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    • pp.269-276
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    • 2001
  • Ultrasonic testing of composite materials is much more difficult than that of isotropic materials, because of the beam skew phenomenon caused by their elastic anisotropy. An established analytical method exists for elastic wave propagation in anisotropic media as a result of previous research efforts. Yet, due to the complexity of the analytical method, solution of real problems must resort to the numerical method. In this work, analytical solutions have first been obtained for the wavefield due to a point source in a unidirectional fiber-reinforced composite, which may be modeled as transversely isotropic. Then, the corresponding numerical solutions have been obtained using the mass-spring lattice model(MSLM). The two solutions have agreed well with each other. Other problems such as reflection from free boundaries and scattering from cracks have also been solved numerically, and the results have been investigated from the viewpoint of wave mechanics. The numerical model whose validity has been confirmed by this work will be of great use in simulating ultrasonic testing of composite materials.

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