• 제목/요약/키워드: Wave Approximation

검색결과 325건 처리시간 0.022초

반무한 연속고가교에 대한 점성경계 설정속도의 간편식 (An Approximation Expression of Wave Velocity of Viscous Boundary for Infinitely tong Elevated Bridge)

  • 이상훈;엔도타카오;이원철
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2007년도 정기총회 및 학술발표대회
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    • pp.140-143
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    • 2007
  • A continuing elevated bridge is replaced with mass-spring system model, and a part of the bridge is cut out as an analytical area. A viscous boundary is installed at both ends, and dynamic analyses are carried out changing the wave velocity of the viscous boundary, The result is compared with a result of a very long model corresponding to the solution with infinite length. A wave velocity is chosen so that the good performance of a viscous boundary is exhibited. The parametric analyses are carried out changing the model of various structural properties, and an approximation expression is suggested to obtain the wave velocity easily for setting a viscous boundary.

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TEM 관련 이론해설 (3): 영상 형성이론과 회절이론 (Theory of Imaging And Diffraction)

  • 이확주
    • Applied Microscopy
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    • 제33권3호
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    • pp.169-178
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    • 2003
  • 영상이론과 회절 이론을 같은 비중으로 다루고 이들과의 관계를 나타내는 wave optics 이론을 소개하였다. 결맞는 파동 이론과 결 안맞는 파동이론 사이의 차이를 나타내고 Abbe이론과 여러 가지 phase contrast 이론들을 small angle 근사로 접근하였다. 마지막으로 다중 성분 시스템에 대한 파동 광학의 수학적인 방법의 적용을 소개하였다.

미기압파 저감을 위한 고속전철 열차-터널 조건의 근사최적설계 (Approximate Optimization of High-speed Train Shape and Tunnel Condition to Reduce the Micro-pressure Wave)

  • 김정희;이종수;권혁빈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1023-1028
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    • 2004
  • A micro-pressure wave is generated by the high-speed train which enters a tunnel, and it causes explosive noise and vibration at the exit. It is known that train speed, train-tunnel area ratio, nose slenderness and nose shape mainly influence on generating micro-pressure wave. So it is required to minimize it by searching optimal values of such train shape factors and tunnel condition. In this study, response surface model, one of approximation models, is used to perform optimization effectively and analyze sensitivity of design variables. Owen's randomized orthogonal array and D-optimal Design are used to construct response surface model. In order to increase accuracy of model, stepwise regression is selected. Finally SQP(Sequential Quadratic Programming) optimization algorithm is used to minimize the maximum micro-pressure wave by using built approximation model.

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파의 굴절 및 회절에 미치는 비선형 효과에 대한 수치해석 (Numerical Analysis of Nonlinear Effect of Wave on Refraction and Diffraction)

  • 이정규;이종인
    • 한국해안해양공학회지
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    • 제2권1호
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    • pp.51-57
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    • 1990
  • 수심변화가 완만하고 흐름이 없는 곳을 파가 전파할 때 겪게되는 침수, 굴절 및 회절현상의 해석에는 3차 Stokes파 이론에 의한 선형, 비선형, 포물형 방정식이 이용되며, 여기서는 바닥마찰과 바람의 영향은 고려하지 않는다. 이 포물형 방정식으로 암초가 있는 경우에 대해 수치해석을 수행하여 기존의 실험치와 비교 검토하였고, 회절과 굴절효과의 중요성을 고찰했다. 천해파의 특성변화 해석에는 Boussinesq방정식에 기초한 포물형 방정식이 이용된다. 흐름이 없는 경우에 방파제를 따라 전파하는 Cnoidal파의 회절현상을 수심이 변하고 입사각이 변하는 경우에 대해 수치해석을 하여 Stem wave의 특성에 대해 논의하였다.

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Newton's Method to Determine Fourier Coefficients and Wave Properties for Deep Water Waves

  • JangRyong Shin
    • 한국해양공학회지
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    • 제37권2호
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    • pp.49-57
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    • 2023
  • Since Chappelear developed a Fourier approximation method, considerable research efforts have been made. On the other hand, Fourier approximations are unsuitable for deep water waves. The purpose of this study is to provide a Fourier approximation suitable even for deep water waves and a numerical method to determine the Fourier coefficients and the wave properties. In addition, the convergence of the solution was tested in terms of its order. This paper presents a velocity potential satisfying the Laplace equation and the bottom boundary condition (BBC) with a truncated Fourier series. Two wave profiles were derived by applying the potential to the kinematic free surface boundary condition (KFSBC) and the dynamic free surface boundary condition (DFSBC). A set of nonlinear equations was represented to determine the Fourier coefficients, which were derived so that the two profiles are identical at specified phases. The set of equations was solved using Newton's method. This study proved that there is a limit to the series order, i.e., the maximum series order is N=12, and that there is a height limitation of this method which is slightly lower than the Michell theory. The reason why the other Fourier approximations are not suitable for deep water waves is discussed.

모스정합을 결합한 UTD에 의한 큰 평행도파관의 고주파간섭 해석 (UTD-Supplemented Mode-matching Method Analysis of High-Frequency Wave Coupling into Large Parallel Plate Waveguides)

  • 권도훈;선영식;명노훈
    • 전자공학회논문지A
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    • 제31A권10호
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    • pp.48-53
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    • 1994
  • The problem of a plane wave impinging upon a semi-infinite paralle-plate waveguide is investigated. The interior fields can be analyzed by converting the initial field into vaveguide modes. Kirchhoff approximation is usually made at the waveguide aperture in the literature. In this paper, a modified approximation is made using the Uniform Gemetrical Theory of Diffraction(UTD). Numerical results show excellent agreement between UTD-supplemented mode-matching solution and UTD solution.

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Reflection-amplitude Approximation for the Interlayer Exchange Coupling in (001) Co/Cu/Co Multilayers

  • Lee, B. C.
    • 한국자기학회:학술대회 개요집
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    • 한국자기학회 2000년도 International Symposium on Magnetics The 2000 Fall Conference
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    • pp.191-199
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    • 2000
  • The reflection-amplitude approximation is used to calculate the interlayer exchange coupling in (001) Co/Cu/Co multilayers. The dependence of the phase factor of the reflection amplitude on the energy and wave vector is included. The contribution of each period is calculated and the results are compared with those from the asymptotic behavior. It is shown that the energy and wave-vector dependence of the phase factor may affect the interlayer exchange coupling significantly.

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Numerical Analyses on the Formation, Propagation, and Deformation of Landslide Tsunami Using LS-DYNA and NWT

  • Seo, Minjang;Yeom, Gyeong-Seon;Lee, Changmin;Lee, Woo-Dong
    • 한국해양공학회지
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    • 제36권1호
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    • pp.11-20
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    • 2022
  • Generally, tsunamis are generated by the rapid crustal movements of the ocean floor. Other factors of tsunami generation include landslides on coastal and ocean floor slopes, glacier collapses, and meteorite collisions. In this study, two numerical analyses were conducted to examine the formation, propagation, and deformation properties of landslide tsunamis. First, LS-DYNA was adopted to simulate the formation and propagation processes of tsunamis generated by dropping rigid bodies. The generated tsunamis had smaller wave heights and wider waveforms during their propagation, and their waveforms and flow velocities resembled those of theoretical solitary waves after a certain distance. Second, after the formation of the landslide tsunami, a tsunami based on the solitary wave approximation theory was generated in a numerical wave tank (NWT) with a computational domain that considered the stability/steady phase. The comparison of two numerical analysis results over a certain distance indicated that the waveform and flow velocity were approximately equal, and the maximum wave pressures acting on the upright wall also exhibited similar distributions. Therefore, an effective numerical model such as LS-DYNA was necessary to analyze the formation and initial deformations of the landslide tsunami, while an NWT with the wave generation method based on the solitary wave approximation theory was sufficient above a certain distance.

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

  • 김진연;이정권
    • 대한기계학회논문집
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    • 제18권7호
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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.

An improved Rankine source panel method for three dimensional water wave problems

  • Feng, Aichun;You, Yunxiang;Cai, Huayang
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제11권1호
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    • pp.70-81
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    • 2019
  • An improved three dimensional Rankine source method is developed to solve numerically water wave problems in time domain. The free surface and body surface are both represented by continuous panels rather than a discretization by isolated points. The integral of Rankine source 1/r on free surface panel is calculated analytically instead of numerical approximation. Due to the exact algorithm of Rankine source integral applied on the free surface and body surface, a space increment free surface source distribution method is developed and much smaller amount of source panels are required to cover the fluid domain surface than other numerical approximation methods. The proposed method shows a higher accuracy and efficiency compared to other numerical methods for various water wave problems.