• Title/Summary/Keyword: Wave propagation vector

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Finite Element Analysis of Ultrasonic Wave Propagation in Anisotropic Materials (유한요소법을 이용한 이방성 재료에서의 초음파 전파 거동 해석)

  • Jeong, Hyun-Jo;Park, Moon-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.10
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    • pp.2201-2210
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    • 2002
  • The accurate analysis of ultrasonic wave propagation and scattering plays an important role in many aspects of nondestructive evaluation. A numerical analysis makes it possible to perform parametric studies, and in this way the probability of detection and reliability of test results can be improved. In this paper, a finite element method was employed for the analysis of ultrasonic wave propagation in anisotropic materials, and the accuracy of results was checked by comparing with analytical predictions. The element size and the integral time step, which are the critical components for the convergence of finite element solutions, were determined using a commercial finite element code. Some differences for wave propagation in anisotropic media were illustrated when plane waves are propagating in a unidirectionally reinforced composite materials. When plane waves are propagating in nonsymmetric directions in a symmetric plane, deviation angles between the wave vector and the energy vector were found from finite element analyses and the results agreed well with analytical calculations.

A Study on the Pressure Wave Propagation of Viscous Fluid Flow in a Pipe Line (관로에서 점성유체 유동의 압력파 전달에 관한 연구)

  • Kim, H.O.;Na, G.D.;Mo, Y.W.
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.835-840
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    • 2000
  • The objective of the present study is to investigate the characteristics of pressure wave propagation of viscous fluid flow in a circular pipe line. The goal of this study is to select the best frequency of each control factor of a circular pipe. We intend to approach a formalized mathematical model by a very exact and reasonable polynomial for fluid transmission lines. and we computed this mathematical model by computer. The results show that the oil viscosity decreased as the length of the circular pipe increases. and The energy of pressure wave propagation decreased as the pipe diameter decreases. The factor is that density of oil was changed resonant frequency. It has been found the viscosity characteristics is changed largely by length of hydraulic pipe and volume of cavity tank.

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Platform for Manipulating Polarization Modes Realized with Jones Vectors in MATHEMATICA

  • Choi, Yong-Dae;Kim, Bogyeong;Yun, Hee-Joong
    • Journal of Astronomy and Space Sciences
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    • v.32 no.2
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    • pp.151-159
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    • 2015
  • The fundamental conception in physics of the propagation of the electromagnetic wave polarization in matter is newly understood as the cardinal keyword in free-space quantum communication technology and cosmology in astrophysics. Interactive visualization of the propagation mechanism of polarized electromagnetism in a medium with its helicity has accordingly received attention from scientists exploiting the protocol of quantum key distribution (QKD) to guarantee unconditional security in cryptography communication. We have provided a dynamic polarization platform for presenting the polarization modes of a transverse electromagnetic wave, converting the state of polarization through the arrangement of optical elements, using Jones vectors calculations in Methematica. The platform graphically simulates the mechanism of production and propagation of the polarized waves in a medium while satisfying Maxwell's equations.

Wave propagation in unbounded elastic domains using the spectral element method: formulation

  • Meza Fajardo, Kristel C.;Papageorgiou, Apostolos S.
    • Earthquakes and Structures
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    • v.3 no.3_4
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    • pp.383-411
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    • 2012
  • The objective of the present paper is to review and implement the most recent developments in the Spectral Element Method (SEM), as well as improve aspects of its implementation in the study of wave propagation by numerical simulation in elastic unbounded domains. The classical formulation of the method is reviewed, and the construction of the mass matrix, stiffness matrix and the external force vector is expressed in terms of matrix operations that are familiar to earthquake engineers. To account for the radiation condition at the external boundaries of the domain, a new absorbing boundary condition, based on the Perfectly Matched Layer (PML) is proposed and implemented. The new formulation, referred to as the Multi-Axial Perfectly Matched Layer (M-PML), results from generalizing the classical Perfectly Matched Layer to a medium in which damping profiles are specified in more than one direction.

AE source on-line localization on material with unknown acoustic wave propagation velocity (전파속도를 알수 없는 재료에서의 AE 발생위치 온라인 측정)

  • Jhang, Kyung-Young;Lee, Weon-Heum;Kim, Dal-jung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.688-694
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    • 1998
  • The ability to locate the defects in materials is one of the major attrations of the acoustic emission(AE) technique. The most conventional method for planar AE source localization is to place three or more AE sensors on the plate and to determine the source position by measuring the differences in the arrival times of the AE wave at the sensors, which is called as triangulation method. But this method can not be applied in the material of which elastic wave propagtion velocity is not known. In this paper, we propose two methods, vector method and error minimization method, for AE source location on the material with unknown AE wave velocity. In this method, it is not needed to know the propagation velocity previously, that is, we can apply this method to arbitrary material of which properties are not known exactly. Also, in this paper, the robustness to the error in the measurement of time differences are discussed for both methods. Finally, in order to evaluate the actual performances, experiments using a pencil lead break as the AE source were carried out on the aluminum plate.

A Study on Phenomena of Sea Propagation Considering Surface Wave (표면파 성분을 고려한 해면전파 현상에 관한 연구)

  • 서덕수;이민수
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.7 no.5
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    • pp.376-383
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    • 1996
  • In general, the electromagnetic field analysis of a vertical dipole mainly deals with the space. wave. But when only the space wave is considered, as a receiving point is close to the surface of medium, the receiving electric field strength is rapidly decreased. In this paper, to solve this problem, we considered both the surface wave and the space wave contribution. When the vector potential is used with the angular spectrum transformation method, the space wave and the surface wave are included in the final electric field expression. By using this final electric field expression, the effect of the surface wave is analyzed through simulations and the factors having effect on a propagation phenomenon of sea surface are studied in detail. Also, the justification of the theoretical formula was proved by comparing theoretical values with measuring ones at 880. 2MHz which is the frequency of mobile communication.

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The Relationship Between Group velocity of Lamb wave $S_0$ Mode and Anisotropy in Laminated Unidirectional CFRP Plates (적층 Unidirectional CFRP 판의 이방성과 Lamb wave의 $S_0$ Mode 군속도의 관계)

  • Lee Jeong-kI;Kim Young H.;Lee Seung Suk;Kim Ho Chul
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.10a
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    • pp.272-277
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    • 2004
  • The elastic waves in the plate are dispersive waves with the characteristics of Lamb waves. However, $S_0$ symmetric mode is less dispersive in the frequency region less than first cut-off frequency. And, in anisotropic plates such as CFRP plates, the propagation velocities vary with the direction. So, the wave vector direction to be the phase velocity direction is not accord with the energy flow direction to be the group velocity direction. In this work, the group velocities of the $S_0$ symmetric mode less than the first cut-off frequency was analyzed with the group velocity dispersion curves in unidirectional CFRP plate. And, the group velocity curve obtained by the group velocity dispersion curves are compared with the measured velocities as varied the propagation direction of the Lamb wave. The measured velocities are good agreement with the corrected group velocity curve except near the fiber direction which is called the cusp region. When the propagation direction is not accorded with the principal axis, the direction of the group velocities declines to the fiber direction in the unidirectional CFRP plates. This implies that the energy propagates preferentially toward fiber direction.

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Fundamental and plane wave solution in non-local bio-thermoelasticity diffusion theory

  • Kumar, Rajneesh;Ghangas, Suniti;Vashishth, Anil K.
    • Coupled systems mechanics
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    • v.10 no.1
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    • pp.21-38
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    • 2021
  • This work is an attempt to design a dynamic model for a non local bio-thermoelastic medium with diffusion. The system of governing equations are formulated in terms of displacement vector field, chemical potential and the tissue temperature in the context of non local dual phase lag (NL DPL) theories of heat conduction and mass diffusion. Based on this considered model, we study the fundamental solution and propagation of plane harmonic waves in tissues. In order to analyze the behavior of the NL DPL model, we construct basic theorem in the terms of elementary function which determine the existence of three longitudinal and one transverse wave. The effects of various parameters on the characteristics of waves i.e., phase velocity and attenuation coefficients are elaborated by plotting various figures of physical quantities in the later part of the paper.

Modeling of Sound-structure Interactions for Designing a Piezoelectric Micro-Cantilever Acoustic Vector Sensor (압전 미세 외팔보 형 수중 음향 벡터센서의 작동 원리와 설계 기법)

  • Yang, Seongkwan;Kim, Junsoo;Moon, Wonkyu
    • The Journal of the Acoustical Society of Korea
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    • v.34 no.2
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    • pp.108-116
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    • 2015
  • An acoustic vector sensor is a device that is capable of measuring the direction of wave propagation and the acoustic pressure. In this paper, the modeling of micro-cantilever sensor for the vector sensor are proposed by consideration of acoustic phenomenon in water. Two models based on unimorph structure are proposed in this paper and corresponding transfer function which describes the relation between input pressure wave and output voltage depending on incidence angle and frequency of pressure wave is derived based on lumped model. It has been shown that very thin and flexible micro-cantilever can be used to measure directly the particle velocity component in water.

The Group Velocity of Lamb Wave Generated by the one Source in Unidirectional Laminated Composite Plates (일방향 적층 복합재료 판에서 한 음원에서 발생된 램파의 군속도)

  • Lee Jeong-Ki;Rhee Sang-Ho
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.3
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    • pp.107-112
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    • 2006
  • The elastic waves in a plate are dispersive waves due to the characteristics of Lamb waves. However, S0 symmetric mode is less dispersive in the frequency region below the first cut-off frequency. The wave Propagation velocities vary with the direction in anisotropic plates such as Carbon Fiber Reinforced Plastic (CFRP) Plates. The wave vector direction and energy flow vector direction are same in isotropic plates. However, the wave vector direction same as the phase velocity direction is not in accordance with the energy flow direction same as the group velocity direction in anisotropic plates. In this study. the dispersion curves or the phase velocity from anti-symmetric and symmetric Lamb wave dispersion equation are calculated for unidirectional laminated composite plate. Slowness surface is sketched using phase velocity under the first cut-off frequency. The direction and magnitude of group velocity are corrected with this slowness surface. The measured group velocities are in good agreement with the corrected group velocity curve except near the fiber direction zone which is called the cusp region.