• 제목/요약/키워드: love waves

검색결과 29건 처리시간 0.018초

Modeling of SH-waves in a fiber-reinforced anisotropic layer

  • Kakar, Rajneesh
    • Earthquakes and Structures
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    • 제10권1호
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    • pp.91-104
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    • 2016
  • In this paper we investigate the existence of SH-waves in fiber-reinforced layer placed over a heterogeneous elastic half-space. The heterogeneity of the elastic half-space is caused by the exponential variations of density and rigidity. As a special case when both the layers are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of SH-waves decreases with the increase of heterogeneity and reinforced parameters. The dimensionless phase velocity of SH-waves increases with the decreases of dimensionless wave number and shown through figures.

초음파 점도계용 고체 매질의 탄성파와 인접 점성유체 간의 상호작용 (The Interaction Between Stress Waves in Elastic Solids for an Ultrasonic Viscometer and Adjacent Viscous Fluids)

  • 김진오
    • 한국음향학회지
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    • 제18권5호
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    • pp.28-34
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    • 1999
  • 인접 점성 유체의 점도가 탄성파의 전파특성에 미치는 효과를 이론적 및 실험적으로 연구하였다. 원형막대에서 전파하는 비틂파와 박막 덮인 반무한 고체에서 전파하는 Love파와 같이 전단운동을 하는 탄성파에 대해서 전파속도와 감쇠의 표현을 유체의 점도와 밀도의 함수로써 엄밀해와 근사해로 구하였다. 이론적 결과는 실험 결과와 비교하였으며, 실험에 사용된 장치는 유체의 밀도를 알 때 점도를 측정하는 센서로 활용될 가능성을 보였다.

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러브파와 레일리파의 분산특성을 이용한 동시역산해석(I) - 동시역산해석기법의 구성 - (Joint Diversion Analysis Using the Dispersion Characteristics of Love Wave and Rayleigh Wave (I) - Constitution of Joint Diversion Analysis Technique -)

  • 이일화;조성호
    • 한국지반공학회논문집
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    • 제21권4호
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    • pp.145-154
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    • 2005
  • 러브파와 레일리파는 표면파로서 각 파가 가지는 분산특성을 활용하여 지반의 강성주상도를 파악할 수 있는 특징을 가지고 있다. 이 중 러브파는 한 방향에 대한 응력-변위만 고려하면 되기 때문에 수치적 모델링이 간단하다. 전파시에는 이론적으로 체적파의 영향 및 밀도의 변화가 없어 각 각의 물성치를 갖는 다층구조지반에서 적용성이 높다고 할 수 있다. 이러한 장점을 활용하여 최종적으로는 단파장에 유리한 러브파와 장파장에 유리한 레일리파의 분산정보를 같이 이용하여 동시역산해석을 할 수 있는 기법을 제안하고자 한다. 해석기법은 크게 3가지로 구성되는데, 러브파와 레일리파의 정모델링 해석을 위해 전달행렬법의 구성, 대상 지반의 시스템 결정을 위한 민감도행렬의 구성 그리고 역산해석기법인 Damped Least Square Solution (DLSS)이다. 동시역산의 방법은 민감도행렬을 구성할 때 레일리파와 러브파의 분산정보가 동시에 사용되며, 계산된 민감도행렬을 역산해석하여 지반의 전단파 주상도를 반복적으로 계산하게 된다. 동시역산해석의 목적은 각 파의 주파수 기여도가 다른 점을 활용함으로서 역산결과의 정확도와 수렴도를 향상하고자 함이다.

Love파를 이용한 저점성 유체 점도 측정용 표면 탄성파 센서 개발 (Development of Surface Acoustic Wave Sensor for Viscosity Measurement of Low Viscose Liquid Using Love Wave)

  • 이상대;김기복;이대수
    • Journal of Biosystems Engineering
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    • 제33권4호
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    • pp.282-287
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    • 2008
  • Love wave is one of the shear horizontal waves and it can propagate between two layers in liquid without energy loss. The SAW (surface acoustic wave) sensor using Love wave is very useful for real time measurement of the viscosity of liquid with high sensitivity. In this study, the 77 MHz and 155 MHz Love wave SAW sensors were fabricated and use to measure the viscosity of low viscous liquid. To generate the surface acoustic wave, the inter-digital transducers were fabricated on the quartz crystal wafer. In order to obtain the optimal thickness of the coating film (novolac photoresist) generating the Love wave on the surface of SAW device, theoretical calculation was performed. The performances of fabricated Love wave SAW sensors were tested. As test liquid, pure water and glycerol solutions having different concentrations were used. Since the determination coefficients of the regression equations for measuring the viscosity of liquid are greater than 0.98, the developed Love wave SAW sensors in this study will be very useful for precise measurement of viscosity of liquid.

Propagation of love-type wave in a temperature dependent crustal Layer

  • Kakar, Rajneesh;Kakar, Shikha;Narang, Rajeev Kumar
    • Smart Structures and Systems
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    • 제19권3호
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    • pp.237-241
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    • 2017
  • The present study deals with the propagation of Love wave (a type of surface wave) in crustal layer having temperature dependent inhomogeneity. It is assumed that the inhomogeneity in the crustal layer arises due to linear temperature variation in rigidity and density. The upper boundary of the crustal layer is traction free. Numerical results for Love wave are discussed by plotting analytical curves between phase velocity against wave number and stress against depth in the presence of inhomogeneity and temperature parameters. The effects boundary condition on the Love wave propagation in the crustal layer is also analyzed. The results presented in this study would be useful for seismologists and geologists.

Wave propagation in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field

  • Abd-Alla, A.M.;Abo-Dahab, S.M.;Bayones, F.S.
    • Structural Engineering and Mechanics
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    • 제53권2호
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    • pp.277-296
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    • 2015
  • The objective of this paper is to investigate the surface waves in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field. The theory of generalized surface waves has firstly developed and then it has been employed to investigate particular cases of waves, viz., Stoneley waves, Rayleigh waves and Love waves. The analytical expressions for displacement components, force stress and temperature distribution are obtained in the physical domain by using the harmonic vibrations. The wave velocity equations have been obtained in different cases. The numerical results are given and presented graphically in Green-Lindsay and Lord-Shulman theory of thermoelasticity. Comparison was made with the results obtained in the presence and absence of gravity, anisotropy, relaxation times and parameters for fibrereinforced of the material medium. The results indicate that the effect of gravity, anisotropy, relaxation times and parameters for fibre-reinforced of the material medium are very pronounced.

Critical earthquake loads for SDOF inelastic structures considering evolution of seismic waves

  • Moustafa, Abbas;Ueno, Kohei;Takewaki, Izuru
    • Earthquakes and Structures
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    • 제1권2호
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    • pp.147-162
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    • 2010
  • The ground acceleration measured at a point on the earth's surface is composed of several waves that have different phase velocities, arrival times, amplitudes, and frequency contents. For instance, body waves contain primary and secondary waves that have high frequency content and reach the site first. Surface waves are composed of Rayleigh and Love waves that have lower phase velocity, lower frequency content and reach the site next. Some of these waves could be of more damage to the structure depending on their frequency content and associated amplitude. This paper models critical earthquake loads for single-degree-of-freedom (SDOF) inelastic structures considering evolution of the seismic waves in time and frequency. The ground acceleration is represented as combination of seismic waves with different characteristics. Each seismic wave represents the energy of the ground motion in certain frequency band and time interval. The amplitudes and phase angles of these waves are optimized to produce the highest damage in the structure subject to explicit constraints on the energy and the peak ground acceleration and implicit constraints on the frequency content and the arrival time of the seismic waves. The material nonlinearity is modeled using bilinear inelastic law. The study explores also the influence of the properties of the seismic waves on the energy demand and damage state of the structure. Numerical illustrations on modeling critical earthquake excitations for one-storey inelastic frame structures are provided.

Torsional surface waves in a non-homogeneous isotropic layer over viscoelastic half-space

  • Kakar, Rajneesh;Gupta, Kishan Chand
    • Interaction and multiscale mechanics
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    • 제6권1호
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    • pp.1-14
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    • 2013
  • The aim of this paper is to study the propagation of torsional surface waves in non-homogeneous isotropic layer of finite thickness placed over a homogeneous viscoelastic half-space, when both density and rigidity of the non-homogeneous medium are assumed to vary exponentially with depth. The frequency equations are obtained by using simple method of separation of variables. Further, it is seen that when viscoelastic parameter and non-homogeneity parameter is neglected, the dispersion equation gives the dispersion equations of Love waves in homogeneous, elastic and isotropic layer placed over homogeneous viscoelastic medium. The problem has been solved numerically and the effects of various inhomogeneities of the medium on torsional waves have been illustrated graphically.

SH-wave propagation in a heterogeneous layer over an inhomogeneous isotropic elastic half-space

  • Kakar, Rajneesh
    • Earthquakes and Structures
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    • 제9권2호
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    • pp.305-320
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    • 2015
  • The present paper is devoted to study SH-wave propagation in heterogeneous layer laying over an inhomogeneous isotropic elastic half-space. The dispersion relation for propagation of said waves is derived with Green's function method and Fourier transform. As a special case when the upper layer and lower half-space are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of SH-wave increases with the increase of inhomogeneity parameter.

동아시아 지각과 최상부맨틀의 3차원 S파 속도구조 및 이방성 연구 (Three-dimensional S-wave Velocity Structure and Radial Anisotropy of Crust and Uppermost Mantle Beneath East Asia)

  • 임도윤;장성준
    • 지구물리와물리탐사
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    • 제21권1호
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    • pp.33-40
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    • 2018
  • 이 연구는 한국, 중국, 일본을 포함하는 동아시아 지역의 지각과 최상부맨틀의 SV파 및 SH파 속도구조와 지진파의 속도 방사 이방성(radial anisotropy)을 알아보기 위해 수행하였다. IRIS (Incorporate Research Institutions for Seismology)에서 동아시아에 설치한 광대역 지진관측소에 기록된 지진자료를 사용하여 레일리파와 러브파를 추출하였으며, MFT (Multiple Filter Technique)을 사용하여 각 성분에 기록된 주기 3 ~ 200초 범위의 레일리파와 러브파의 군속도 분산자료를 획득하였다. 수직성분에서 62466개의 레일리파의 분산곡선 측정값을, 접선(transverse)성분에서 54141개의 러브파의 분산곡선 측정값을 얻을 수 있었다. 얻어진 분산자료를 역산하여 속도모델을 구하였고, 역산된 모델을 통해 깊이 100 km 까지의 SV파 및 SH파 속도 구조를 구하였다. SV파와 SH파 속도구조의 경우, 동일하게 깊이 30 km 까지 동해에서 강한 고속도 이상이 나타나며, 30 km 이상의 깊이에서는 중국 남서쪽의 티벳 고원에서 강한 저속도 이상이 나타난다. SH파 속도구조의 경우, 30 km 이상의 깊이에서 동해에서 상대적으로 더 강한 저속도 이상이 나타난다. 그 결과, 지진파 이방성은 평균적으로 동해지역에서 음의 이방성을, 중국 내륙지역에서 양의 이방성이 관측된다.