• 제목/요약/키워드: Rayleigh wave

검색결과 217건 처리시간 0.097초

반 무한 복합체의 Rayleigh 표면파에 대한 이방성비의 영향 (Effect of Anisotropic Ratio for Rayleigh Wave of a Half-Infinite Composite Material)

  • 백운철;황재석;송용태
    • 대한기계학회논문집A
    • /
    • 제25권3호
    • /
    • pp.502-509
    • /
    • 2001
  • In this paper, when stress waves are propagated along the reinforced direction of the composite, the characteristic equation of Rayleigh wave is derived. The relationships between velocities of stress waves and Rayleigh wave are studied for anisotropic ratios(E(sub)11/E(sub)12 or E(sub)22/E(sub)11). The increments of anisotropic ratios is made by using known material properties and being constant of basic properties. When the anisotropic ratios are increased, Rayleigh wave velocities to the shear wave velocities are almost equal to 1 with any anisotropic ratios. Rayleigh wave velocities to the longitudinal wave velocities and Shear wave velocities ratio to the longitudinal wave velocities are almost identical each other, they are between 0.12 and 0.21. When the anisotropic ration is very high, that is, E(sub)11/E(sub)22=46.88, Rayleigh wave velocities and the shear wave velocities are almost constant with Poissons ratio, longitudinal wave velocities are very slowly increased with the increments of Poissons ratios. When E(sub)11(elastic modulus of the reinforced direction)and ν(sub)12 are constant, Rayleigh wave velocities and the shear wave velocities are steeply decreased with the increments of anisotropic ratios and the velocities of longitudinal wave are almost constant with them. When E(sub)22(elastic modulus of the normal direction to the fiber) and ν(sub)12 are constant, Rayeigh wave velocities is slowly increased with the increments of anisotropic ratios, the shear wave velocities are almost constant with them, the longitudinal wave velocities are steeply increased with them.

지반 강성구조 평가를 위한 러브파와 레일리파의 동시역산해석 (Joint inversion of Love Wave and Rayleigh Wave for Evaluating the Subsurface Stiffness Structure)

  • 조성호;이일화
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
    • /
    • pp.302-307
    • /
    • 2005
  • Love wave and Rayleigh wave are the major elastic waves belonging to the category of the surface wave. The fact that Love wave is not contaminated by P-wave which makes Love wave superior to Rayleigh wave and other body waves. Therefore, the information that Love wave carries is more distinct and clearer than the information of Rayleigh wave. Based on theoretical research, the joint inversion analysis which is used both Love wave dispersion information and Rayleigh wave dispersion information was proposed. Purpose of the joint inversion analysis is to improve accuracy and convergency of inversion results utilizing that frequency contribution of each wave is different. This analysis technique is consisted of the forward modeling using transfer matrix, the sensitivity matrix determined to the ground system and DLSS(Damped Least Square Solution) as a inversion technique. The application of this analysis was examined through the field test.

  • PDF

해양파의 개별파고 분포에 대하여 (On Individual Wave Height Distribution of Ocean Waves)

  • 김도영
    • 한국해양공학회:학술대회논문집
    • /
    • 한국해양공학회 2006년 창립20주년기념 정기학술대회 및 국제워크샵
    • /
    • pp.367-372
    • /
    • 2006
  • If the sea is narrowband, the Rayleigh distribution introduced by Longuet-Higgins can be used for the individual wave height distribution. However the Rayleigh distribution over-predicts the probability of high waves. Longuet-Higgins introduced alternative form of the Rayleigh distribution with an empirical constant. The wave height distribution can be fitted well by one parameter Rayleigh distribution with a proper choice of the empirical constant. The empirical constant is the ratio of the significant wave height based the time domain analysis and the spectral analysis. Here we examine wave data which contain extreme waves. Once again we confirmed that extreme wave height distribution can be modelled well by a modified Rayleigh distribution.

  • PDF

비선형 해양파의 통계적 특성에 대한 해석 (An Analysis of Statistical Characteristics of Nonlinear Ocean Waves)

  • 김도영
    • 한국해양환경ㆍ에너지학회지
    • /
    • 제13권2호
    • /
    • pp.112-120
    • /
    • 2010
  • 이 논문에서는 Yura 해역에서 폭풍 중 24시간 연속으로 측정된 freak wave가 포함된 파랑자료를 분석하여 비선형 파도의 통계적 특성을 살펴보았다. 파고의 초과확률분포는 Edgeworth-Rayleigh(ER) 분포와, Rayleigh 분포를 이용하여 계측된 자료와 비교하였다. 파형이 stationary 상태를 유지하는 10시간 동안 계측된 파랑자료(파랑의 개수가 4600 내외)에서는, 파형의 분포는 Gram-Chalier분포가 Gaussian분포보다 파랑자료와 일치를 한다. 전반적인 파고의 확률분포는 Rayleigh($H_{rms}$)분포를 잘 따르는 것을 볼 수 있다. Freak wave 발생확률은 Rayleigh($m_{o}{^{1/2}}$) 분포로 잘 표시가 되며, ER 분포는 과대하게 예측하는 것을 볼 수 있다. 30분간 계측된 파랑자료(파랑 개수가 250개 내외)에서 freak wave가 발생된 경우는 ER 분포가 freak wave 발생확률과 잘 일치한다. 그러나 전반적인 파고의 발생확률이 과대평가된다. Freak wave가 발생하지 않은 경우는 거의 모든 파고에 걸쳐 Rayleigh($H_{rms}$)분포가 계측된 파고분포와 잘 일치를 한다. 파고가 10 m 이하의 freak wave의 파고확률분포는 10 m 이상의 파고를 가지는 freak wave와 비슷한 경향을 보인다. $H_{max}/H_{1/3}$은 파형의 kurtosis와 연관이 있는 것을 보여주었다. Freak wave의 발생은 높은 kurtosis 값과 관계가 있으며, freak wave가 발생하는 임계 kurtosis 값이 존재할 가능성이 있을 것으로 추정된다.

A Treatment for Truncated Boundary in a Half-Space with 2-D Rayleigh Wave BEM

  • Ju, Tae-Ho;Cho, Youn-Ho;Phan, Haidang;Achenbach, Jan D.
    • 비파괴검사학회지
    • /
    • 제31권6호
    • /
    • pp.650-655
    • /
    • 2011
  • Analysis of two-dimensional Rayleigh wave scattering pattern by a surface defect is studied through modified boundary element method. BEM proposed in this paper has special treatment at each end of boundary which should have the Rayleigh wave go away without any generation of virtual reflections. It is shown that treatment for truncated boundary which is used to model two-dimensional Rayleigh waves' behavior in an elastic half-space is successfully implemented. To check numerical results' accuracy, time domain IFFT signal of the displacements is presented. Improvement on getting rid of unwanted influence of truncated boundary induced by 2-D Rayleigh waves on a flat surface of an elastic half-infinite medium is shown. As a final goal, the numerical results of Rayleigh wave scattering trend are plotted and they are compared with theoretical curves to prove its accuracy.

Nonlinear Displacement Discontinuity Model for Generalized Rayleigh Wave in Contact Interface

  • Kim, No-Hyu;Yang, Seung-Yong
    • 비파괴검사학회지
    • /
    • 제27권6호
    • /
    • pp.582-590
    • /
    • 2007
  • Imperfectly jointed interface serves as mechanical waveguide for elastic waves and gives rise to two distinct kinds of guided wave propagating along the interface. Contact acoustic nonlinearity (CAN) is known to plays major role in the generation of these interface waves called generalized Rayleigh waves in non-welded interface. Closed crack is modeled as non-welded interface that has nonlinear discontinuity condition in displacement across its boundary. Mathematical analysis of boundary conditions and wave equation is conducted to investigate the dispersive characteristics of the interface waves. Existence of the generalized Rayleigh wave(interface wave) in nonlinear contact interface is verified in theory where the dispersion equation for the interface wave is formulated and analyzed. It reveals that the interface waves have two distinct modes and that the phase velocity of anti-symmetric wave mode is highly dependent on contact conditions represented by linear and nonlinear dimensionless specific stiffness.

Dispersion of Rayleigh Waves in the Korean Peninsula

  • ;이기화
    • 지구물리
    • /
    • 제9권3호
    • /
    • pp.231-240
    • /
    • 2006
  • The crustal structure of the Korean Peninsula was investigated by analyzing phase velocity dispersion data of Rayleigh waves. Earthquakes recorded by three component broad-band velocity seismographs during 1999-2004 in South Korea were used in this study. The fundamental mode Rayleigh waves were extracted from vertical components of seismograms by multiple filter technique and phase match filter method. Phase velocity dispersion curves of the fundamental mode signal pairs for 14 surface wave propagation paths on the great circle in the range 10 to 80 sec were computed by two-station method. Treating the shear velocity of each layer as an independent parameter, phase velocity data of Rayleigh wave were inverted. All the result models can be explained by a rather homogeneous crust of shear-wave velocity increasing from 2.8 to 3.25 km/sec from top to about 33 km depth without any distinctive crustal discontinuities and an uppermost mantle of shear-wave velocity between 4.55 and 4.67 km/sec. Our results turn out to agree well with recent study of Cho et al. (2006 b) based on the analysis of seismic background noises to recover short-period (0.5-20 sec) Rayleigh- and Love-wave group velocity dispersion characteristics.

  • PDF

Validity of Ocean Wave Spectrum Using Rayleigh Probability Density Function

  • Choi, Young Myung;Yang, Young Jun;Kwon, Sun Hong
    • International Journal of Ocean System Engineering
    • /
    • 제2권4호
    • /
    • pp.250-258
    • /
    • 2012
  • The distribution of wave heights is assumed to be a Rayleigh distribution, based on the assumption of a narrow band and Gaussian distribution of wave elevation. The present study was started with doubts about the narrow band assumption. We selected the wave spectra widely used to simulate irregular random waves. The wave spectra used in this study included the Pierson-Moskowitz spectrum, Bretschneider-Mitsuyasu spectrum, and JONSWAP spectrum. The directionality of the waves was considered. The cosine 2-l type directional spreading function and mixed form of the half-cosine 2-s type with Mitsuyasu type directional spreading are considered here to investigate the effects of a directional spreading function on random waves. The simulated wave height distribution is compared with a Rayleigh distribution.

반무한체와 다층구조 지반에서 러브파 및 레일레이파의 위상속도 분산특성 (The Phase-velocity Dispersion Characteristics of Love Wave and Rayleigh Wave in the Half Space and Multi-layered System)

  • 이일화;조성호
    • 한국지반공학회논문집
    • /
    • 제20권1호
    • /
    • pp.61-73
    • /
    • 2004
  • 레일레이파와 러브파는 탄성파 중에서 표면파에 속하는 것으로, 매우 중요한 표면파로 인식되고 있다. 러브파의 파동 전파시 매질내에 발생되는 변형은 SH파와 같은 전단형태이므로, 러브파는 P-파에 의해 교란되지 않는 특성이 있다. 이러한 특성으로 인하여 러브파가 레일레이파나 다른 체적파보다 더 유용한 탄성파로 인식되고 있다. 본 연구에서는 표면파를 활용하는 대표적 실험기법인 SASW 기법에서 러브파를 도입하고자 하는 목적으루 이론적, 수치해석적, 실험적 방법으로 러브파의 위상속도 분산 특성을 연구하였다. 특히, 러브파의 수평성분과 레일레이파의 수직 수평 성분의 특성을 연구하기 위하여, 반무한 지반, 2층 구조의 지반에 대하여 2차원,3차원 유한요소 해석을 수행하였다. 또한, 수치해석으로 획득한 러브파와 레일레이파에 대한 결과를 확인하기 위하여 일반 지반에서 현장실험을 수행하였다. 이와 같은 수치해석과 현장실험을 통하여 러브파의 위상속도 분산특성이 SASW 기법의 정확성과 신뢰성을 더욱 향상시키기 위한 추가 자료로 매우 유용할 것이라는 것을 확인하였다.

Effect of Reinforcing Bar on Rayleigh Wave Propagation on Concrete Structures

  • Kim, Jae-Hong;Lee, Kang-Wook
    • 한국건설순환자원학회논문집
    • /
    • 제3권2호
    • /
    • pp.159-164
    • /
    • 2015
  • This paper presents results on a study of the Rayleigh wave scattering in concrete with a steel bar using transient elastic waves. To study the characteristics of the scattered waves induced by a steel bar in concrete, a three-dimensional finite element method was adopted. A case for elastic wave propagation parallel to the steel bar is discussed. The effect of the cover thickness and steel bar diameter on the Rayleigh wave was studied. To confirm the numerical investigations, a concrete specimen containing a steel bar was made, and corresponding transient elastic wave experiments were conducted. It is believed that the result of this study can serve as an important reference in a nondestructive evaluation of concrete with a steel bar.