• 제목/요약/키워드: wave function

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Pseudo 3D FEM analysis for wave passage effect on the response spectrum of a building built on soft soil layer

  • Kim, Yong-Seok
    • Earthquakes and Structures
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    • 제8권5호
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    • pp.1241-1254
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    • 2015
  • Spatially variable ground motions can be significant on the seismic response of a structure due to the incoherency of the incident wave. Incoherence of the incident wave is resulted from wave passage and wave scattering. In this study, wave passage effect on the response spectrum of a building structure built on a soft soil layer was investigated utilizing a finite element program of P3DASS (Pseudo 3-dimensional Dynamic Analysis of a Structure-soil System). P3DASS was developed for the axisymmetric problem in the cylindrical coordinate, but it is modified to apply anti-symmetric input earthquake motions. Study results were compared with the experimental results to verify the reliability of P3DASS program for the shear wave velocity of 250 m/s and the apparent shear wave velocities of 2000-3500 m/s. Studied transfer functions of input motions between surface mat foundation and free ground surface were well-agreed to the experimental ones with a small difference in all frequency ranges, showing some reductions of the transfer function in the high frequency range. Also wave passage effect on the elastic response spectrum reduced the elastic seismic response of a SDOF system somewhat in the short period range.

최소 위상 조건을 적용한 음향 임피던스 측정 (Application of Minimum Phase Condition to Acoustic Impedance Measurement)

  • 임병덕;허준혁
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.855-860
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    • 2005
  • For the accurate measurement of acoustic properties of a surface, efforts have been made to reduce errors caused by external disturbance. If the reflection coefficient is considered as a transfer function between reflected wave and incident wave, causality is required between them and the reflection coefficient should be of minimum phase. In this thesis, the minimum phase condition is applied to measure correct reflection coefficient. The reflection coefficient is approximated as a rational function in the Z domain by minimizing the sum square error. Then the minimum phase reflection coefficient is reconstructed using the distribution of poles and zeros of the reflection coefficient model. The incident wave, the reflected wave and the impulse response function of causality are recalculated from the minimum phase reflection coefficient for further applications.

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Effects of Fluid Resistance Coefficient on Wave Characteristics around Permeable Submerged Breakwater

  • Kim, Namhyeong;Woo, Sumin;Ko, Yongsu
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2014년도 춘계학술대회
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    • pp.244-245
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    • 2014
  • Recently, the studies on submerged breakwater are increased due to needs considering the quality of water and the scenic view. In this paper, waves coming to permeable submerged breakwater coming with oblique angle are computed numerically by using wave pressure function. The wave pressure function throughout the analytical region including the fluid and submerged breakwaters is used. An unknown quantity expressed by the wave pressure function is simulated by boundary element method. The maximum reflection coefficient shows the tendency of decrease with the increase of oblique angle and The reflection coefficient shows the tendency of increase with the increase of the values of the linear dissipation coefficient and the added mass coefficient. It is means that the reflection coefficients are strongly dependent on the oblique angle and resistance coefficients.

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Numerical Analysis of a Weak Shock Wave Propagating in a Medium Using Lattice Boltzmann Method (LBM)

  • Kang, Ho-Keun;Michihisa Tsutahara;Ro, Ki-Deok;Lee, Young-Ho
    • Journal of Mechanical Science and Technology
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    • 제17권12호
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    • pp.2034-2041
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    • 2003
  • This study introduced a lattice Boltzmann computational scheme capable of modeling thermo hydrodynamic flows with simpler equilibrium particle distribution function compared with other models. The equilibrium particle distribution function is the local Maxwelian equilibrium function in this model, with all the constants uniquely determined. The characteristics of the proposed model is verified by calculation of the sound speeds, and the shock tube problem. In the lattice Boltzmann method, a thermal fluid or compressible fluid model simulates the reflection of a weak shock wave colliding with a sharp wedge having various angles $\theta$$\sub$w/. Theoretical results using LBM are satisfactory compared with the experimental result or the TVD.

Approximate Wave Functions of Dynamic Infinite Elements for Multi-layered Halfspaces

  • Kim, J.M.;Yun, C.B.;Yang, S.C.
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1993년도 가을 학술발표회논문집
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    • pp.193-198
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    • 1993
  • This paper presents a systematic procedure to obtain shape functions of the infinite elements for soil-structure interaction analysis. The function spaces are derived from the analytical solutions and appropriate assumptions based on physical interpretation. The function spaces are complete for the surface wave components, but approximate for the body wave components. Three different infinite elements are developed by using the wave functions of the derived function spaces. Numerical example analysis is presented for demonstrating the effectiveness of the present infinite elements.

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INTERACTION OF SURFACE WATER WAVES WITH SMALL BOTTOM UNDULATION ON A SEA-BED

  • Martha, S.C.;Bora, S.N.;Chakrabarti, A.
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1017-1031
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    • 2009
  • The problem of interaction of surface water waves by small undulation at the bottom of a laterally unbounded sea is treated on the basis of linear water wave theory for both normal and oblique incidences. Perturbation analysis is employed to obtain the first order corrections to the reflection and transmission coefficients in terms of integrals involving the shape function c(x) representing the bottom undulation. Fourier transform method and residue theorem are applied to obtain these coefficients. As an example, a patch of sinusoidal ripples is considered in both the cases as the shape function. The principal conclusion is that the reflection coefficient is oscillatory in the ratio of twice the surface wave number to the wave number of the ripples. In particular, there is a Bragg resonance between the surface waves and the ripples, which is associated with high reflection of incident wave energy. The theoretical observations are validated computationally.

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유도 초음파 이용 결함 진단을 위한 정합추적 기법 (Matching Pursuit Approach for Guided Wave-Based Damage Inspection)

  • 홍진철;선경호;김윤영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.615-618
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    • 2004
  • For successful guided-wave damage inspection, the appropriate signal processing of measured wave signals is very important. The objective of this paper is to introduce an efficient signal processing technique especially suitable for the guided-waves used for damage detection. The key idea of this technique is to model guided-waves by chirp functions of special form considering the dispersion phenomenon. To determine the parameter of the chirp functions simulating guided-waves, the matching pursuit algorithm is employed. The damage information in waveguides can be extracted by pulse-characterizing parameters. The effectiveness of present method is checked with the longitudinal wave-based damage inspection.

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파동방정식 수치해의 일관성에 관한 연구 (A Study on Consistency of Numerical Solutions for Wave Equation)

  • 편석준;박윤희
    • 지구물리와물리탐사
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    • 제19권3호
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    • pp.136-144
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    • 2016
  • 탄성파 자료의 역산은 파동방정식에 기초하고 있으므로 파동방정식의 해를 정확하게 구하는 것이 가장 중요하다. 특히, 전파형역산은 파동장 전체를 이용하기 때문에 정문제에 해당하는 모델링이 정확하게 이루어져야 신뢰할 수 있는 결과를 얻게 된다. 파동방정식의 수치해를 구하는 대표적인 기법인 유한차분법과 유한요소법은 해의 수렴성을 보장할 수 있어야 하는데, 해의 수렴성은 이론적으로 일반화된 증명이 되어 있으나 실제 문제에 적용할 경우 일관성과 안정성을 분석해야 한다. 모델링 결과의 일관성은 송신원 함수의 구현이 매우 중요한 부분인데, 유한차분법은 디랙 델타 함수(Dirac delta function)를 나타낼 때 격자 간격으로 표준화된 싱크 함수(sinc function)를 사용해야 하는 반면 유한요소법은 격자 간격에 관계없이 기저함수 값을 사용하면 된다. 주파수 영역 파동방정식을 사용할 경우 송신 파형 함수의 스펙트럼을 정확하게 표현하기 위해 샘플링 이론으로 정의되는 시간 간격보다 더 조밀한 샘플링 간격을 사용하고 나이퀴스트(Nyquist) 주파수보다 더 높은 주파수를 최대 주파수로 사용해야 한다. 또한, 복소 각주파수를 사용하는 경우 감쇠 파동방정식을 만족하기 위해서는 송신 파형 함수를 먼저 감쇠한 후 사용해야 한다. 이러한 요건들이 모두 만족되었을 때 신뢰할 수 있는 역산 알고리즘 개발이 가능하다.

투수층에 적용 가능한 흐름함수방식의 확장형 완경사방정식의 개발 (Development of Complementary Mild-slope Equation for Stream Function Over Permeable Bed)

  • 김건우
    • 해양환경안전학회지
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    • 제22권6호
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    • pp.758-765
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    • 2016
  • 본 연구에서는 유한한 깊이의 투수층에 의한 파랑 감쇠 현상을 흐름함수에 대한 확장형 완경사방정식을 사용하여 해석하였다. 에너지 감쇠율을 흐름함수에 대한 완경사방정식에 고려할 수 있도록 감쇠항을 제시하였다. 수치실험 시 계산영역에서 반사된 파가 경계에서 재반사되는 문제를 극복하기 위해서, 델타함수 형태의 원천함수를 유도하여 계산영역 내에서 조파하였다. 경사면 위의 파랑의 반사율 측정 실험을 다양한 주기에 대해서 수행하였다. 투수성이 있는 수중둔덕에 대해서, 수치실험 결과는 해석해인 적분방정식의 결과와 대체로 잘 일치하였다. 그러나, 투수계수가 크고 파장이 길수록 본 연구의 결과가 상대적으로 높은 투과율을 보였다.

침투층 위의 잠제에 경사각을 가지고 입사하는 파랑의 수치해석 (Numerical Analysis of Waves coming with Oblique Angle to Submerged Breakwater on the Porous Seabed)

  • 김남형;우수민
    • 한국항해항만학회지
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    • 제37권3호
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    • pp.283-289
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    • 2013
  • Wave profiles coming with oblique angle to trapezoidal submerged breakwater on the porous seabed are computed numerically by using a boundary element method. The analysis method is based on the wave pressure function with the continuity in the analytical region including fluid and structure. When compared with the existing results on the oblique incident wave, the results of this study show good agreement. The fluctuation of wave profiles is increased in the rear of the submerged breakwater due to the increase of the transmission coefficient, as the incident angle increases. In addition, in the case of the wave profiles passing over the submerged breakwater on porous seabed, it is able to verify that the attenuation of wave height occurs more significantly due to the wave energy dissipation than that of passing over the submerged breakwater on the impermeable seabed. The results indicate that wave profile own high dependability regarding the change of oblique incident waves and porous seabed. Therefore, the results of this study are estimated to be applied as an accurate numerical analysis referring to oblique incident waves and porous seabed in real sea environment.