• Title/Summary/Keyword: velocity waves elastic

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Surface wave propagation in an initially stressed heterogeneous medium having a sandy layer and a point source

  • Manna, Santanu;Misra, J.C.;Kundu, Santimoy;Gupta, Shishir
    • Geomechanics and Engineering
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    • v.16 no.2
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    • pp.169-176
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    • 2018
  • An attempt has been made here to study the propagation of SH-type surface waves in an elastic medium, which is initially stressed and heterogeneous and has a point source inside the medium. The upper portion of the composite medium is a sandy layer. It is situated on an initially stressed heterogeneous half-space, whose density, rigidity and internal friction are function of depth. The analysis has been carried out by using Fourier transform and Green's function approach. The phase velocity has been investigated for several particular situations. It has been shown that the results of the study agree with those the case of Love wave propagation in a homogeneous medium in the absence of the sandy layer, when the initial stress is absent. In order to illustrate the validity of the analysis presented here, the derived analytical expression has been computed numerically, by considering an illustrative example and the variances of the concerned physical variables have been presented graphically. It is observed that the velocity of shear wave is amply influenced by the initial stress and heterogeneity parameters and the presence of the sandy layer. The study has an important bearing on investigations of different problems in the earth's interior and also in seismological studies.

Hydroelastic Responses for a Very Large Floating Structure with a Breakwater (방파제를 고려한 초대형 부유식 해양구조물의 응답)

  • H.Y. Lee;H. Shin;C.G. Lim;O.H. Kim;J.M. Kang;M.C. Yoon
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.2
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    • pp.26-32
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    • 2001
  • In this paper, elastic responses of a floating structure in waves with a breakwater are presented. The method of source-dipole distribution is used to analyze the velocity potentials for the fluid region. The deflections of structure are expanded approximately in terms of natural mode functions of free-free beam. The model for present calculation is a floating plate with an length of 1000m and the hydroelastic responses for a floating structure with a straight breakwater are shown. The effects of distance between breakwater and structure, bending rigidity and relative length of regular waves are examined.

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Dynamic elastic local buckling of piles under impact loads

  • Yang, J.;Ye, J.Q.
    • Structural Engineering and Mechanics
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    • v.13 no.5
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    • pp.543-556
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    • 2002
  • A dynamic elastic local buckling analysis is presented for a pile subjected to an axial impact load. The pile is assumed to be geometrically perfect. The interactions between the pile and the surrounding soil are taken into account. The interactions include the normal pressure and skin friction on the surface of the pile due to the resistance of the soil. The analysis also includes the influence of the propagation of stress waves through the length of the pile to the distance at which buckling is initiated and the mass of the pile. A perturbation technique is used to determine the critical buckling length and the associated critical time. As a special case, the explicit expression for the buckling length of a pile is obtained without considering soil resistance and compared with the one obtained for a column by means of an alternative method. Numerical results obtained show good agreement with the experimental results. The effects of the normal pressure and the skin friction due to the surrounding soil, self-weight, stiffness and geometric dimension of the cross section on the critical buckling length are discussed. The sudden change of buckling modes is further considered to show the 'snap-through' phenomenon occurring as a result of stress wave propagation.

Field Elastic Wave and Electrical Resistivity Penetrometer for Evaluation of Elastic Moduli and Void Ratio (탄성계수 및 간극비 평가를 위한 현장 관입형 탄성파 및 전기비저항 프로브)

  • Yoon, Hyung-Koo;Kim, Dong-Hee;Lee, Woojin;Lee, Jong-Sub
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2C
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    • pp.85-93
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    • 2010
  • The shear stiffness has become an important design parameter to understand the soil behavior. In particular, the elastic moduli and void ratio has been considered as important parameters for the design of the geotechnical structures. The objective of this paper is the development of the penetration type Field Velocity and Resistivity Probe (FVRP) which is able to assess the elastic moduli and void ratio based on the elastic wave velocities and electrical resistivity. The elastic waves including the compressional and shear wave are measured by piezo disk elements and bender elements. And the electrical resistivity is measured by the resistivity probe, which is manufactured and installed at the tip of the FVRP. The penetration tests are carried out in calibration chamber and field. In the laboratory calibration chamber test, after the sand-clay slurry mixtures are prepared and consolidated. The FVRP is progressively penetrated and the data are measured at each 1 cm. The field experiment is also carried out in the southern part of Korea Peninsular. Data gathering is performed in the depth of 6~20 m at each 10 cm. The elastic moduli and void ratio are estimated based on the analytical and empirical solutions by using the elastic wave velocities and electrical resistivity measured in the chamber and field. The void ratios based on the elastic wave velocities and the electrical resistivity are similar to the volume based void ratio. This study suggests that the FVRP, which evaluates the elastic wave velocities and the electrical resistivity, may be a useful instrument for assessing the elastic moduli and void ratio in soft soils.

Identification of Reflection Coefficients for Overground Pipes Using Finite Element Method (유한요소법을 이용한 지상 파이프 반사계수 규명)

  • Kim, Y.W.;Park, K.J.;Kang, W.S.
    • Journal of Power System Engineering
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    • v.15 no.3
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    • pp.18-24
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    • 2011
  • In this study, the reflection of the L(0,2), axially symmetric guided elastic wave from defects in pipes above ground is examined using finite element method. Phase and group velocity dispersion curves for the pipe were presented for the selection of the excitation mode. Some simple signal processing was applied to determine the amplitude of each of the reflected waves and to calculate the reflection coefficient. The results show the reflection coefficient of this mode is very close to a linear function of the circumferential extent of the defect. The motivation for the work was the development of a technique for inspecting chemical plant pipelines, but the study addresses the nature of the reflection function and its general applicability.

Ultrasonic Nondestructive Evaluation(NDE) of Cornposite Materials - A Review -

  • Lee, Ouk-Sub
    • Journal of the Korean Society for Nondestructive Testing
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    • v.9 no.2
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    • pp.25-36
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    • 1989
  • This essay is a general review of the application of ultrasonic NDE techniques to the performance assessment and characterization of composite materials. A brief review of ultrasonic input-output characterization of a composite plate by shear waves is presented. A theoretical development of ultrasonic wave propagation in isotropic and anisotropic media excited, respectively, by a circular transducer and an oscillatory point source is summarized. Some experimental results are described in which ultrasonic velocity and attenuation measurements give insight into material degradation of fatigued composite laminates. Ultrasonic determination of the elastic constants of a composite plate and an experimental attempt at ultrasonic testing of an isotropic plate containing a crack are also included. A recent effort for the characterization of viscoelastic materials using the ultrasonic NDE technique is outlined. Finally, the reliability of ultrasonic NDE is briefly touched upon.

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Boundary/Finite Element Analysis of the Seismic Wave Amplifications due to Nonhomogeneous Alluvial Deposits (비균질 퇴적층으로 인한 지진파 증폭의 경계/유한요소 해석)

  • 김효건;손영호;김종주;최광규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.463-470
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    • 1998
  • The boundary/finite element analysis for the seismic wave amplifications due to nonhomogeneous alluvial deposits was performed in this study. For numerical analysis, the homogeneous linear elastic soil half-space was modeled by using the 3-node isoparametric boundary elements and the inhomogeneous alluvial deposit was modeled by using the 8-node isoparametric finite elements. The two elements at interface were coupled together by the equilibrium condition of the tractions and the compatibility condition of the displacements. As a prarmetric variable, the incident angle and the dimensionsless frequency of the SH, P and SV-waves and the shear wave velocity ratio and the mass density ratio between the half-space and the alluvial deposit were selected.

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Wave propagation in spherical and cylindrical panels reinforced with carbon nanotubes

  • Yi-Wen Zhang;Hao-Xuan Ding;Gui-Lin She
    • Steel and Composite Structures
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    • v.46 no.1
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    • pp.133-141
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    • 2023
  • Based on the third-order shear deformation theory, the wave propagations in doubly curved spherical- and cylindrical- panels reinforced by carbon nanotubes (CNTs) are firstly investigated in present work. The coupled equations of wave propagation for the carbon nanotubes reinforced composite (CNTRC) doubly curved panels are established. Then, combined with the harmonic balance method, the eigenvalue technique is adopted to simulate the velocity-wave number curves of the CNTRC doubly curved panels. In the end, numerical results are showed to discuss the effects of the impact of key parameters including the volume fraction, different shell types (including spherical (R1=R2=R) and cylindrical (R1=R, R2=→∞)), wave number as well as modal number on the sensitivity of elastic waves propagating in CNTRC doubly curved shells.

A Compaction Control Procedure of Railway Trackbed Fills Using Elastic Waves (탄성파를 이용한 철도노반의 다짐관리 방안)

  • Park, Chul-Soo;Park, In-Beom;Oh, Sang-Hoon;Kim, Hak-Sung;Mok, Young-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.10a
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    • pp.1427-1439
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    • 2008
  • The quality of track-bed fills of railways has been controlled by field measurements of density (${\gamma}_d$) and the results of plate-load tests. The control measures are compatible with the design procedures whose design parameter is $k_{30}$ for both ordinary-speed railways and high-speed railways. However, one of fatal flaws of the design procedures is that there are no simple laboratory measurement procedures for the design parameters ($k_{30}$ or, $E_{v2}$ and $E_{v2}/E_{v1}$) in design stage. A new quality control procedure, in parallel with the advent of the new design procedure, is being proposed. This procedure is based upon P-wave velocity involving consistently the evaluation of design parameters in design stage and the field measurements during construction. The key concept of the procedure is that the target value for field compaction control is the P-wave velocity determined at OMC using modified compaction test, and direct-arrival method is used for the field measurements during construction. The procedure was verified at a test site and the p-wave velocity turned out to be an excellent control measure. The specifications for the control also include field compaction water content of $OMC{\pm}2%$ as well as the p-wave velocity.

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Effect of Bonding Layer on Guided Wave Mode Behavior in FRP Plate Bonded on Concrete (FRP 보강판 부착 콘크리트에서 유도초음파 모드 거동에 대한 접착층의 영향)

  • Lee, Yong-Ju;Shin, Sung-Woo
    • Journal of the Korean Society for Nondestructive Testing
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    • v.32 no.1
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    • pp.34-40
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    • 2012
  • In this study, effects of bonding agent, e.g. epoxy, on the behavior of fundamental guided wave modes propagated in FRP plate bonded on a concrete, are investigated. Global matrix model of multilayered FRP-epoxy-concrete system was constructed to obtain the velocity and attenuation dispersion curves of the fundamental A0 and S0 modes. Two variables, thickness and elastic modulus of epoxy layer, were considered in the dispersion analysis. It was found that both the thickness and the elastic modulus of epoxy layer greatly affect the phase velocity and attenuation of S0 mode while those are negligible for A0 mode. Based on the results, it was concluded that S0 mode is more effective than A0 mode for bonding condition assessment for FRP plate bonded concrete.