• Title/Summary/Keyword: Spherical wave

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A Study on the Impact Fracture of Fragile Materials (취성재료의 충격파괴에 관한 연구 II)

  • 양인영;김택현;정낙규;이상호;김선규
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1417-1425
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    • 1990
  • In this paper, when the glass plate of fragile material is subjected to impact load, the fracture pattern and the generation phenomenon of cone crack were theoretically clarified by using the analysis method of impulsive stress in the first paper. The numerical analysis results of strain distribution at a distance of 0.1cm, from the impact loading point to 5cm, were compared with experimental results. The main conclusions obtained are as follows; (1) The generation phenomenon of cone crack at the impact fracture of the glass plate can be analytically confirmed by using the three dimensional dynamic theory of elasticity. And the numerical analysis results of strain distribution using this theory are relatively in close agreement with the crack size obtained from the impact fracture experiment. (2) After the stress wave generated at the impact point propagated to the spherical compressive wave, this stress wave reflected from the back surface and reached again at the surface of the plate to the spherical stress wave. Then the generation of cone crack can be confirmed along the stress wave surface. (3) The plate is the thicker, the more is the generation phenomenon of cone crack at the lower impact velocity range (20m/s-35m/s). Because the fracture generate before the maximum tensile stress acting to the glass plate, cone crack was rarely ever generated.

A Theoretical Study on the Dispersion of Elastic Waves in Particulate Composites (입자복합재료 내부의 탄성파 분산에 관한 이론적 연구)

  • 김진연;이정권
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1697-1704
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    • 1994
  • Elastic wave propagation in discrete random medium studies to predict dynamic effective properties of composite materials containing spherical inclusions. A self-consistent method is proposed which is analogous to the well-known coherent potential approximation. Three conditions that must be satisfied by two effective elastic moduli and effective density are derived for the time without limit of frequency. The derived self-consistency conditions have the physical meaning that the scattering of coherent wave by the constituents in effective medium is vanished on the average. The frequency-dependent complex effective wave speed and coherent attenuation can be obtained by solving the derived self-consistency conditions numerically. The wave speed and attenuation obtained from present theory are shown to be in the better agreements with previous experimental observations than the previous theory.

Elliptic Numerical Wave Model Using Generalized Conjugate Gradient Method (GCGM을 이용한 타원형 수치 파랑모형)

  • 윤종태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.2
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    • pp.93-99
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    • 1998
  • Parabolic approximation and sponge layer are applied as open boundary condition for elliptic finite difference wave model. Generalized conjugate gradient method is used as a solution procedure. Using parabolic approximation a large part of spurious reflection is removed at the spherical shoal experiment and sponge layer boundary condition needs more than 2 wave lengths of sponge layer to give similar results. Simulating the propagation of waves on a rectangular harbor, it is identified that iterative scheme can be applied easily for the non-rectangular computational region.

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A method to find the position of fault in a moving vehicle using microphone arrays (마이크로폰 어레이를 이용하여 차량 하부에서 발생한 결함의 위치를 찾아내는 방법)

  • Kim, Yang-Hann;Jeon, Jong-Hoon
    • Proceedings of the KSR Conference
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    • 2006.11b
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    • pp.144-151
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    • 2006
  • Sound generated from a moving vehicle often carries information on the condition of vehicle, for example, whether it has faults or not, where the fault exists. The latter is possible especially by MFAH(moving frame acoustic holography) and beamforming method. MFAH is applicable to the sound source of pure tone or narrow band noise. For the beamforming method, we have to know what kind of wave the sound source radiates, for example, plane wave or spherical wave. That is, whether the above methods are applicable depends on the characteristics of sound source. To apply these methods to the fault detection, we have to know the characteristics of wave from faults. In this research, a machine diagnosis technique based on the above holographic approaches is introduced to find the position of faults. The signal due to faults is modeled based on the fact that the faults radiate impulsive noise, and analyzed in time and frequency domain. The way how MFAH and beamforming method can be used is introduced to find the position of source.

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Theory of Scalar Wave Scattering by a Sphere and a Planar Substrate

  • Park, Byong Chon;Kim, Jin Seung
    • Journal of the Korean Physical Society
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    • v.73 no.10
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    • pp.1512-1518
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    • 2018
  • The problem of scalar wave scattering by a sphere on or near a planar substrate is analytically solved. The solution is a set of wave functions coming in the form of infinite series of spherical and plane waves. In air, the incident plane wave is either scattered by the sphere or reflected from the substrate. A part of these scattered or reflected waves propagate to the other object where it is reflected and scattered again. Such processes of scattering and reflection repeat in turn indefinitely to generate multiply scattered waves, which are represented in the corresponding terms in the infinite series. The term in the series can be arranged in a recognizable manner to explicitly reveal the involved process and the multiplicity of scattering.

Study of real image reconstruction by hologram (홀로그램의 실상 재생 geometry 연구)

  • 백성훈
    • Proceedings of the Optical Society of Korea Conference
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    • 1991.06a
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    • pp.156-161
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    • 1991
  • 결상 홀로그램(image hologram)을 제작할 때 물체의 실상을 얻는 방법으로는 렌즈 등의 광학계를 이용하거나 다른 홀로그램에서 재생된 실상을 이용하는 방법 등이 있다. 본 연구에서는 결상 홀로그램을 제작하기 위하여 홀로그램에서 실상을 재생할 때, 재생빔으로 diverging spherical wave를 사용하는 geometry를 제안하고 문제점-재생된 실상의 상배를 변화와 홀로그램 수차들을 논의하였다.

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Surf Zone Wave Transformations Simulated by a Fully Nonlinear Boussinesq Equation (완전비선형 Boussinesq방정식을 이용한 쇄파대의 파랑변형 모의)

  • 윤종태;김종무
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.4
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    • pp.296-308
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    • 2001
  • A fully nonlinear Boussinesq equation of Wei et al. is finite differenced by Adams predictor-corrector method. A spatially distributed source function and sponge layers are used to reduce the reflected waves in the domain and wale breaking mechanism is included in the equation. The generated waves are found to be good and the corresponding wale heights are very close to the target values. The shoaling of solitary wave and transformation of regular wave over submerged shelf were simulated successfully. The characteristics of breaking mechanism was identified through the numerical experiment and the results of two dimensional wave propagation test over the spherical shoal showed the importance of nonlinear wave model.

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Calculation of Radar Echo Signal above Spherical Earth and Its Experimental Validation (지구곡률을 고려한 레이다 수신신호 계산 방법 및 실험적 검증)

  • Koh, Il-Suek;Kwon, Sewoong;Lee, Jong-hyun;Lee, Kiwon;Sun, Woong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.10
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    • pp.924-931
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    • 2015
  • When a target locates at low altitude over a curved earth surface and far away from a radar, we examine the accuracy of the conventional formulations to compute the radar echo signal. The 4-ray model is used to calculate the scattering by the target to consider the ground plane effect. In this paper, the diffracted wave is not included. Based on the required parameters able to be calculated by known equations for the estimation of the wave propagation phenomena, the radar echo signal is computed and verified by comparing with measured data sets.

Evaluation of Accuracy and Efficiency of Double Fourier Series (DFS) Spectral Dynamical Core (이중 푸리에 급수 분광법 역학코어의 정확도와 계산 효율성 평가)

  • Beom-Seok Kim;Myung-Seo Koo;Seok-Woo Son
    • Atmosphere
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    • v.33 no.4
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    • pp.387-398
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    • 2023
  • The double Fourier series (DFS) spectral dynamical core is evaluated for the two idealized test cases in comparison with the spherical harmonics (SPH) spectral dynamical core. A new approach in calculating the meridional expansion coefficients of DFS, which was recently developed to alleviate a computational error but only applied to the 2D spherical shallow water equation, is also tested. In the 3D deformational tracer transport test, the difference is not conspicuous between SPH and DFS simulations, with a slight outperformance of the new DFS approach in terms of undershooting problem. In the baroclinic wave development test, the DFS-simulated wave pattern is quantitatively similar to the SPH-simulated one at high resolutions, but with a substantially lower computational cost. The new DFS approach does not offer a salient advantage compared to the original DFS while computation cost slightly increases. This result suggests that the current DFS spectral method can be a practical and alternative dynamical core for high-resolution global modeling.

Fabrication of holographic zone plate using dichromated gelatin hologram (Dichromated Gelatin 박막을 이용한 홀로그래픽 Zone Plate 제작 및 해석)

  • 임용석;이영락;곽종훈;최옥식
    • Korean Journal of Optics and Photonics
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    • v.8 no.1
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    • pp.19-25
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    • 1997
  • Holographic zone plate (HZP) is fabricated by interfering a plane wave and a spherical wave in a dichromated gelatin (DCG) film obtained from Agfa 8E75HD plates. We have developed a simple theory for HZP considering optical nonlinearity of DCG material. Analysis of our theory for HZP shows that it has infinite focal points at distances f,f/2, f/3,,…. In experiment, we observed the corresponding focal points of up to f/6 when illuminating HZP by a plane wave. It is also shown that the beam profile around the first focal point measured by using a knife-edge scanning method has a Gaussian shape.

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