• 제목/요약/키워드: wave propagation velocity

검색결과 412건 처리시간 0.022초

Effect of Hysteresis on Interface Waves in Contact Surfaces

  • Kim, Noh-Yu;Yang, Seung-Yong
    • 비파괴검사학회지
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    • 제30권6호
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    • pp.578-586
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    • 2010
  • This paper describes a theoretical model and acoustic analysis of hysteresis of contacting surfaces subject to compression pressure. Contacting surfaces known to be nonlinear and hysteretic is considered as a simple spring that has a complex stiffness connecting discontinuous displacements between two solid contact boundaries. Mathematical formulation for 1-D interfacial wave propagation between two contacting solids is developed using the complex spring model to derive the dispersion relation between the interface wave speed and the complex interfacial stiffness. Existence of the interface wave propagating along the hysteretic interface is studied in theory and discussed by investigating the solution to the dispersion equation. Unlike the linear interface without hysteresis, there can exist only one distinct mode of interface waves for the hysteretic interface, which is anti-symmetric motion. The anti-symmetric mode of interface wave propagates with the velocity faster than the Rayleigh surface wave but less than the shear wave depending on the interfacial stiffness. If the contacting surfaces are compressed so much that the linear interfacial stiffness is very high, the hysteretic stiffness does not affect the interface wave velocity. However, it has an effect on the speed of interface wave for a loosely contact surfaces with a relatively low linear stiffness. It is also found that the phase velocity of anti-symmetric wave mode converges to the shear wave velocity in despite of the linear stiffness value if the hysteretic stiffness approaches 0.5.

초음파를 이용한 카올린 점토의 계수 및 감쇠 특성 (Modulus and Damping Properties of Kaolinite Using Ultrasonic Testing)

  • 민덕기
    • 한국지반공학회논문집
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    • 제18권6호
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    • pp.17-24
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    • 2002
  • 본 연구에서는 초음파실험을 통하여 카올린 점토 시료의 초음파 전파 속도와 감쇠특성을 조사하였다. 슬러리 압밀 방법을 이용하여 이산구조와 면모구조를 갖는 두 종류의 카올린 점토를 인공적으로 제작하였다. 초음파를 이용하여 각 구조를 가진 점토의 압축파 속도 및 감쇠 거동을 측정하였다. 측정시 가진 주파수, 시료 길이, 측정 방향 등을 변화시키며 그에 대한 영향을 조사하였다. 실험 결과 전파속도는 같은 압축 응력 조건에서 제작된 본 시료의 경우 미세구조의 영향이 크지 않았으나 감쇠 특성은 미세구조의 영향이 큰 것으로 나타났다.

Shear waves propagation in an initially stressed piezoelectric layer imperfectly bonded over a micropolar elastic half space

  • Kumar, Rajneesh;Singh, Kulwinder;Pathania, D.S.
    • Structural Engineering and Mechanics
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    • 제69권2호
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    • pp.121-129
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    • 2019
  • The present study investigates the propagation of shear waves in a composite structure comprised of imperfectly bonded piezoelectric layer with a micropolar half space. Piezoelectric layer is considered to be initially stressed. Micropolar theory of elasticity has been employed which is most suitable to explain the size effects on small length scale. The general dispersion equations for the existence of waves in the coupled structure are obtained analytically in the closed form. Some particular cases have been discussed and in one particular case the dispersion relation is in well agreement to the classical-Love wave equation. The effects of various parameters viz. initial stress, interfacial imperfection and micropolarity on the phase velocity are obtained for electrically open and mechanically free system. Numerical computations are carried out and results are depicted graphically to illustrate the utility of the problem. The phase velocity of the shear waves is found to be influenced by initial stress, interface imperfection and the presence of micropolarity in the elastic half space. The theoretical results obtained are useful for the design of high performance surface acoustic devices.

말뚝항타시 발생하는 응력파의 전파특성에 관한 수치해석적 연구 (A Numerical Study on Stress Wave Propagation from Pile Driving)

  • 이종세;임정진
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 추계 학술발표회 논문집
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    • pp.123-130
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    • 2002
  • The ground-borne vibration from pile driving is causing many public discontents. However, because of the fact that the characteristics of wave propagation and attenuation are not well understood, systematic and effective vibration reduction measures can not be taken. This paper attempts to study the propagation of stress waves induced by the pile driving. To simulate the wave propagation in a semi-infinite domain, the so-called absorbing boundaries are incorporated in the finite element method and a series of numerical simulations is performed. Numerical results show that the surface displacement and velocity increase first and then decrease as the pile penetration depth becomes larges.

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Wave propagation in a generalized thermo elastic circular plate immersed in fluid

  • Selvamani, R.;Ponnusamy, P.
    • Structural Engineering and Mechanics
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    • 제46권6호
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    • pp.827-842
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    • 2013
  • In this paper, the wave propagation in generalized thermo elastic plate immersed in fluid is studied based on the Lord-Shulman (LS) and Green-Lindsay (GL) generalized two dimensional theory of thermo elasticity. Two displacement potential functions are introduced to uncouple the equations of motion. The frequency equations that include the interaction between the plate and fluid are obtained by the perfect-slip boundary conditions using the Bessel function solutions. The numerical calculations are carried out for the material Zinc and the computed non-dimensional frequency, phase velocity and attenuation coefficient are plotted as the dispersion curves for the plate with thermally insulated and isothermal boundaries. The wave characteristics are found to be more stable and realistic in the presence of thermal relaxation times and the fluid interaction.

Propagation of plane wave in transversely isotropic magneto-thermoelastic material with multi-dual-phase lag and two temperature

  • Lata, Parveen;Kaur, Iqbal;Singh, Kulvinder
    • Coupled systems mechanics
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    • 제9권5호
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    • pp.411-432
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    • 2020
  • This research is devoted to the study of plane wave propagation in homogeneous transversely isotropic (HTI) magneto-thermoelastic rotating medium with combined effect of Hall current and two temperature due to multi-dual-phase lag heat transfer. It is analysed that, for 2-D assumed model, three types of coupled longitudinal waves (quasi-longitudinal, quasi-transverse and quasi-thermal) are present. The wave characteristics like phase velocity, specific loss, attenuation coefficients, energy ratios, penetration depths and amplitude ratios of transmitted and reflected waves are computed numerically and illustrated graphically and compared for different theories of thermoelasticity. Some particular cases are also derived from this research.

Influence of imperfectly bonded piezoelectric layer with irregularity on propagation of Love-type wave in a reinforced composite structure

  • Singh, Abhishek Kumar;Chaki, Mriganka Shekhar;Hazra, Bristi;Mahto, Shruti
    • Structural Engineering and Mechanics
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    • 제62권3호
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    • pp.325-344
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    • 2017
  • The present paper investigates the propagation of Love-type wave in a composite structure comprised of imperfectly bonded piezoelectric layer with lower fiber-reinforced half-space with rectangular shaped irregularity at the common interface. Closed-form expression of phase velocity of Love-type wave propagating in the composite structure has been deduced analytically for electrically open and short conditions. Some special cases of the problem have also been studied. It has been found that the obtained results are in well-agreement to the Classical Love wave equation. Significant effects of various parameters viz. irregularity parameter, flexibility imperfectness parameter and viscoelastic imperfectness parameter associated with complex common interface, dielectric constant and piezoelectric coefficient on phase velocity of Love-type wave has been reported. Numerical computations and graphical illustrations have been carried out to demonstrate the deduced results for various cases. Moreover, comparative study has been performed to unravel the effects of the presence of reinforcement and piezoelectricity in the composite structure and also to analyze the existence of irregularity and imperfectness at the common interface of composite structure in context of the present problem which serves as a salient feature of the present study.

Wave propagation analysis of smart strain gradient piezo-magneto-elastic nonlocal beams

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Structural Engineering and Mechanics
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    • 제66권2호
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    • pp.237-248
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    • 2018
  • This study presents the investigation of wave dispersion characteristics of a magneto-electro-elastic functionally graded (MEE-FG) nanosize beam utilizing nonlocal strain gradient theory (NSGT). In this theory, a material length scale parameter is propounded to show the influence of strain gradient stress field, and likewise, a nonlocal parameter is nominated to emphasize on the importance of elastic stress field effects. The material properties of heterogeneous nanobeam are supposed to vary smoothly through the thickness direction based on power-law form. Applying Hamilton's principle, the nonlocal governing equations of MEE-FG nanobeam are derived. Furthermore, to derive the wave frequency, phase velocity and escape frequency of MEE-FG nanobeam, an analytical solution is employed. The validation procedure is performed by comparing the results of present model with results exhibited by previous papers. Results are rendered in the framework of an exact parametric study by changing various parameters such as wave number, nonlocal parameter, length scale parameter, gradient index, magnetic potential and electric voltage to show their influence on the wave frequency, phase velocity and escape frequency of MEE-FG nanobeams.

콘크리트 블록에서 인공절리에 따른 발파영향 평가 (Evaluation of Blast influence by Artificial Joint in Concrete Block)

  • 노유송;민경조;오세욱;박세웅;석철기;조상호;박훈
    • 화약ㆍ발파
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    • 제36권3호
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    • pp.1-9
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    • 2018
  • 본 연구는 인공절리의 경사, 인공절리와 발파공 간의 거리, 그리고 인공절리의 수가 압력파동의 전파, 균열의 전파, 그리고 발파파동의 속도에 미치는 영향을 평가할 목적으로 수행되었다. 이 평가작업은 동적 FEM 프로그램인 AUTODYN 상에서 지원되는 Euler-Lagrange solver를 사용하여 수행되었다. 주요 결과로서 발파파속은 인공절리와 발파공 간의 거리가 가깝거나 인공절리의 경사가 증가할수록 더 빠르게 감소하는 것으로 나타났다. 인공절리가 없는 경우에 비해 절리가 하나라도 존재하는 경우에는 발파파속의 감쇠가 상당히 크게 발생하였다. 하지만 인공절리의 수가 발파파속의 감쇠에 미치는 영향은 주어진 조건 하에서는 미미한 수준이었다.

이방성비가 큰 직교이방성체의 반 무한 균열에 대한 동적 응력확대계수에 관한 연구 (Dynamic Stress Intensity Factors of the Half Infinite Crack in the Orthotropic Material Strip with a Large Anisotropic Ratio)

  • 백운철;황재석
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1557-1564
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    • 2000
  • When the half infinite crack in the orthotropic material strip with a large anisotropic ratio(E11>>E22) propagates with constant velocity, dynamic stress component $\sigma$y occurre d along the $\chi$ axis is derived by using the Fourier transformation and Wiener-Hopf technique, and the dynamic stress intensity factor is derived. The dynamic stress intensity factor depends on a crack velocity, mechanical properties and specimen hight. The normalized dynamic stress intensity factors approach the maximum values when normalized time(=Cs/a) is about 2. They have the constant values when the normalized time is greater than or equal to about 2, and decrease with increasing a/h(h: specimen hight, a: crack length) and the normalized crack propagation velocity( = c/Cs, Cs: shear wave velocity, c: crack propagation velocity).