• Title/Summary/Keyword: elastic wave propagation

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Finite Element Modeling for the Analysis of In- and Out-of-plane Bulk Elastic Wave Propagation in Piezoelectric Band Gap Structures (압전 밴드 갭 구조물의 면내·외 방향 체적 탄성파 전파 특성 해석을 위한 유한요소 모델링)

  • Kim, Jae-Eun;Kim, Yoon-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.8
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    • pp.957-964
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    • 2011
  • This investigation presents a finite element method to obtain the transmission properties of bulk elastic waves in piezoelectric band gap structures(phonon crystals) for varying frequencies and modes. To this end, periodic boundary conditions are imposed on a three-dimensional model while both in-plane and out-of-plane modes are included. In particular, the mode decoupling characteristics between in-plane and out-of-plane modes are identified for each electric poling direction and the results are incorporated in the finite element modeling. Through numerical simulations, the proposed modeling method was found to be a useful, effective one for analyzing the wave characteristics of various types of piezoelectric phononic band gap structures.

Propagation Speed of Torsional Elastic Waves In a Cylinder with a Periodically Corrugated Outer Surface (외면이 주기적으로 울퉁불퉁한 실린더에서 비틂 탄성파의 전파속도)

  • 김진오
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.8
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    • pp.54-60
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    • 1999
  • The paper describes a theoretical study on the speed of the torsional elastic waves propagating in a circular cylinder whose outer radius varies periodically as a harmonic function of the axial coordinate. The approximate solution for the phase speed has been obtained using the perturbation technique for sinusoidal modulation of small amplitude. It is shown that the wave speed in the cylinder with a corrugated outer surface is less than that in a smooth cylinder by the square of the amplitude of the surface perturbation. This theoretical prediction agrees reasonably with an experimental observation reported earlier. It is also shown that the wave speed reduction due to the surface corrugation becomes larger for a thinner cylinder and for a bigger density of corrugation.

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Two-Dimensional Wave Propagation Analysis of Impact Phenomena (이차원(二次元) 파전파(波傳波) 이론(理論)에 의한 충돌현상(衝突現狀) 해석(解析))

  • Lee, Sang Ho;Ahn, Byoung Ki
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.2
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    • pp.245-255
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    • 1994
  • A two-dimensional Lagrangian finite-difference computer program is developed for the wave propagation analysis of impact phenomena. The numerical scheme is the standard method originally proposed by Von Neuman and Richtmyer, using artificial viscosity to smooth shock fronts. The material model used in the study is the standard hydrodynamic-elastic-plastic relations with Von-Mises yield criterion. A test configuration consisted of a target and a projectile were calculated to understand the response of a colliding event. However, the computer code is in plane strain, the calculations were intended for generating the qualitative features of the model behaviors. Nevertheless, the computational results were consistent with the experimental observations and provided a rational basis to interpret the modes of failures.

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Propagation of Bulk Longitudinal Waves in Thin Films Using Laser Ultrasonics (레이저 초음파를 이용한 체적종파의 박막 내 전파특성 연구)

  • Kim, Yun Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.36 no.4
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    • pp.266-272
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    • 2016
  • This paper presents the investigation of the propagation behavior of bulk longitudinal waves generated by an ultrafast laser system in thin films. A train of femtosecond laser pulses was focused onto the surface of a 150-nm thick metallic (chromium or aluminum) film on a silicon substrate to excite elastic waves, and the change in thermoreflectance at the spot was monitored to detect the arrival of echoes from the film/substrate interface. The experimental results show that the film material characteristics such as the wave velocity and Young's modulus can be evaluated through curve-fitting in numerical solutions. The material properties of nanoscale thin films are difficult to measure using conventional techniques. Therefore, this research provides an effective method for the nondestructive characterization of nanomaterials.

Characterization of Dynamic Elastic Constants and Attenuation Coefficients of Fiber Reinforced Composites By Analysis of Elastic Wave Propagation (탄성파 전파의 해석을 통한 섬유강화 복합재료의 동탄성계수 및 감쇠계수의 파악)

  • 김진연
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1992.11a
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    • pp.69-76
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    • 1992
  • 섬유강화 복합재료의 동탄성계수와 감쇠특성을 규명하기 위하여 랜덤하게 분포된 무한 실린더 형상의 산란체를 가진 점탄성 매질내에서 , 축방향으로 분극되어 조화 운동을 하는 탄성파의 전파에 관하여 연구하였다. 다중 산란에 관한 이론으 이용하여 매질내에서의 파동전파 특성을 내포하는 분산관계식을 얻었다. 다중산란에 의한 실린더간의 상호작용을 수식화하기위하여 필요한 실린더의 쌍분포함수는 몬테카를로 모의 실험을 이용하여 구하였다. 수치적으로 구한 감쇠계수 및 유효전단강성을 주파수와 체적율의 함수로 제시하였다. 또한 감쇠계수의 주파수에 따른 변화에 있어서, 저주파에서는 매질의 점탄성 손실이 지배적이며, 고주파수로 갈수록 다중산란에 의한 손실이 지배적인 것으로 나타났다.

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Finite Element Analysis with Paraxial Boundary Condition (파진행 문제를 위한 Paraxial 경계조건의 유한요소해석)

  • Kim, Hee-Seok;Lee, Jong-Seh
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.475-480
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    • 2007
  • For the propagation of elastic waves in unbounded domains, absorbing boundary conditions at the fictitious numerical boundaries have been proposed. In this paper we focus on both first- and second-order paraxial boundary conditions(PBCs) in the framework of variational approximations which are based on paraxial approximations of the scalar and elastic wave equations- We propose a penalty function method for the treatment of PBCs and apply these into finite element analysis. The numerical verification of the efficiency is carried out through comparing PBCs with Lysmer-Kuhlemeyer' s boundary conditions.

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Impact localization method for composite structures subjected to temperature fluctuations

  • Gorgin, Rahim;Wang, Ziping
    • Smart Structures and Systems
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    • v.30 no.4
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    • pp.371-383
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    • 2022
  • A novel impact localization method is presented based on impact induced elastic waves in sensorized composite structure subjected to temperature fluctuations. In real practices, environmental and operational conditions influence the acquired signals and consequently make the feature (particularly Time of Arrival (TOA)) extraction process, complicated and troublesome. To overcome this complication, a robust TOA estimation method is proposed based on the times in which the absolute amplitude of the signal reaches to a specific amplitude value. The presented method requires prior knowledge about the normalized wave velocity in different directions of propagation. To this aim, a finite element model of the plate was built in ABAQUS/CAE. The impact location is then highlighted by calculating an error value at different points of the structure. The efficiency of the developed impact localization technique is experimentally evaluated by dropping steel balls with different energies on a carbon fiber composite plate with different temperatures. It is demonstrated that the developed technique is able to localize impacts with different energies even in the presence of noise and temperature fluctuations.

Analysis of mechanical properties of microtubules under combined effects of surface and body forces for free and embedded microtubules in viscoelastic medium

  • Farid, Khurram;Taj, Muhammad
    • Advances in concrete construction
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    • v.13 no.3
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    • pp.255-264
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    • 2022
  • Vibration is expected to occur in microtubules as tubular heterodimers. They oscillate like electric dipoles. Several research studies have estimated a frequency of vibration using the orthotropic model, a beam or rod like models and shell models, considering the surface forces. The effects of body forces on the dynamics of the microtubules were not yet taken into account. This study seeks to capture the body force effects on the vibration modes generated and on the corresponding frequency for microtubules. An orthotropic elastic shell model for the structural details of microtubules is used for the analysis. The tests are conducted out for microtubules, exposed to electro-magnetic and gravitational forces, the transverse vibration, radial mode vibration, and axial mode of vibration have accomplished. We therefore, evaluate and compare microtubules' frequencies with prior results of vibration frequency without the effects of body force.

Dispersion of axisymmetric longitudinal waves in a "hollow cylinder + surrounding medium" system with inhomogeneous initial stresses

  • Akbarov, Surkay D.;Bagirov, Emin T.
    • Structural Engineering and Mechanics
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    • v.72 no.5
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    • pp.597-615
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    • 2019
  • The paper studies the dispersion of the axisymmetric longitudinal wave propagating in the "hollow cylinder + surrounding medium" system with inhomogeneous initial stresses caused by the uniformly distributed radial compressional forces acting at infinity. Up to now in the world literature, there exist only a few investigations related to the wave dispersion in a hollow cylinder with inhomogeneous initial stresses. Therefore, this paper is one of the first attempts in this field in the sense of the development of investigations for the case where the cylinder is surrounded with an infinite medium. The three-dimensional linearized theory of elastic waves is used for describing the considered wave propagation problem and, for a solution to the corresponding mathematical problem, the discrete-analytical solution method is developed and employed. The corresponding dispersion equation is obtained and this equation is solved numerically and, as a result of this solution, the dispersion curves are constructed for the first and second modes. By analyzing these curves, the character of the influence of the inhomogeneous initial stresses on the dispersion curves is established. In particular, it is established that as a result of the inhomogeneity of the initial stresses both new dispersion curves and the "band gap" for the wave frequencies can appear.

Seismic Landslide Hazard Maps in Ul-Ju Ul-san Korea (지진에 대한 사면의 재해위험지도 작성 - 울산시 울주군 지역을 중심으로-)

  • 조성원
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.04a
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    • pp.89-96
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    • 2000
  • Landslide damage comprise most part of the damages from the earthquake and it only causes the damage to lives and structures directly but also cease the operation of social system by road or lifeline failure. For these reasons hazard assesment on the landslides has been recognized very important. And hazard maps have been used to visualize the hazard of the landslide. In this study as first step for application of hazard map to domestic cases hazard maps are made for the Ul-Joo Ul-san Korea, Where the Yan-san faults are located. For building hazard maps the degree of hazard are evaluated based on Newmark displacement and the resulting maps are constructed by GIS technique. In hazard assesment maximum ground acceleration obtained from attenuation equation of wave propagation and design earthquake acceleration suggested by Ministry of construction are used for acceleration term. Hazard maps are made by GIS programs Arc/Info and Arc/View based on the digital maps and data from lab tests and elastic wave surveys The maps show the possible landslide regions significantly and the displacements of slide are proportional to the slope angles.

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