• 제목/요약/키워드: Dispersion Curves

검색결과 217건 처리시간 0.022초

횡등방성 원통 셸에 의한 수중 음파의 공명 산란 (Resonant Scattering of Underwater Acoustic Wave by Transversely Isotropic Cylindrical Shells)

  • 김진연
    • 소음진동
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    • 제7권3호
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    • pp.449-455
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    • 1997
  • A theoretical study is presented for the prediction of the scattering of obliquely incident plane acoustic wave by transversely isotropic cylindrical shells immersed in water. In dorder to illustrate the vailidity of the theory backscattering form functions are compared with the existing results for degenerated problems: the catterings by isotropic shell and transversely isotropic solid cylinder. The unidirectional fiber reinforced boron-aluminum composites are selected as a model of transversely isotropic materials having potential applications in practice. From the resonant scattering analysis of the partial backscattering form functions, the dispersion curves for fluid-borne Stoneley wave, guided wave along the shell, and the lowest three Lamb type waves can be found. The Lamb type dispersions are compared with those of the flat plate. The variation of anisotropy significantly affects the properties of circumferential waves. From these results, it can be possible to identify parametrically the material properties of anisotropic cylindrical targets.

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철로를 따라 전파되는 파동 해석을 위한 고주파수 대역 철로 모델링 (Modelling of Railway Tracks for Wave Propagation along Railway Tracks at High Frequencies)

  • 유정수
    • 한국소음진동공학회논문집
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    • 제21권3호
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    • pp.248-257
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    • 2011
  • It was reported recently that railpads can be included as a continuous elastic support of the rail and the model was justified from experiments. In general, however, railpads are installed discretely on sleepers with a regular span. The effect of the discrete railpad was not clearly examined so far in such a high frequency range. In this paper, the effect of the railpads in track modelling for high frequencies is investigated by means of the finite element analysis. To do that, the railpads are regarded as 'a continuous elastic support' and 'a discrete elastic support' in this paper. The dispersion relations and decaying features are predicted and compared between the two models up to 80 kHz.

Influence of microstructure, heterogeneity and internal friction on SH waves propagation in a viscoelastic layer overlying a couple stress substrate

  • Sharma, Vikas;Kumar, Satish
    • Structural Engineering and Mechanics
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    • 제57권4호
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    • pp.703-716
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    • 2016
  • In this paper, we have investigated shear horizontal wave propagation in a layered structure, consisting of granular macromorphic rock (Dionysos Marble) substrate underlying a viscoelastic layer of finite thickness. SH waves characteristics are affected by the material properties of both substrate and the coating. The effects of microstructural parameter "characteristic length" of the substrate, along with heterogeneity, internal friction and thickness of viscoelastic layer are studied on the dispersion curves. Dispersion equation for SH wave is derived. Real and damping phase velocities of SH waves are studied against dimensionless wave number, for different combinations of various parameters involved in the problem.

철로를 따라 장거리 전파하는 고주파수 대역 파동 특성 연구 (Waves propagating in railway tracks at high frequencies)

  • 유정수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
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    • pp.791-796
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    • 2011
  • In order to understand long range wave propagation in railway tracks, it is required to identify how far vibrations can travel along a rail. To answer this question, the attenuation characteristics of the main propagating waves are required as a function of distance. In this work, it is identified which wave types predominantly propagate on various regions of the rail cross-section. Then decay rates of propagating waves in railway tracks are investigated for frequencies up to 80 kHz. A numerical method called the Wavenumber Finite Element (WFE) method is utilized to predict dispersion curves and decay rates for a rail on a continuous foundation. In order to validate the simulated results, measurements have been performed on a test track and an operational railway track. The measured results are compared with the output of the simulations and good agreements are found between them.

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Wave Propagation in the Strip Plate with Longitudinal Stiffeners

  • Kim, H.;Ryue, J.
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.102-107
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    • 2013
  • It is important to understand the vibrating behavior of plate structures for many engineering applications. In this study, vibration characteristics of strip plates which have finite width and infinite length are investigated theoretically and numerically. The waveguide finite element approach is used in this study which is known as an effect tool for waveguide structures. WFE method requires only cross-sectional FE model and uses theoretical harmonic solutions for the wave propagation along the longitudinal direction. First of all for a simple strip plate, WFE results are compared with theoretical ones such as the dispersion diagrams, point mobilities, etc. to validate the numerical model. Then in the numerical analysis, the several different types of longitudinal stiffeners are included to the plate model to investigate the effects of the stiffeners in terms of the dispersion curves and mobilities.

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이방성 복합재료 판에서의 램파 방정식 (The Lamb Wave Equation in a Composite Plate with Anisotropy)

  • 이상호
    • 한국군사과학기술학회지
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    • 제13권1호
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    • pp.126-132
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    • 2010
  • A Lamb wave guided by a plate structure has dispersive characteristics because phase and group velocity change with the variation of frequency and thickness. The Lamb wave has two modes, symmetric and anti-symmetric mode, which propagates symmetrically and non-symmetrically with respect to centerline. In this paper, the derivation of Lamb wave equation with anisotropic material property is investigated. The phase velocity and group velocity dispersion curves are shown using the stiffness matrix of composite materials with the variation of angle.

FINDING THE ACCELERATION PARAMETER IN MODIFIED NEWTONIAN DYNAMICS WITH ELLIPTICAL GALAXIES

  • TIAN, YONG;KO, CHUNG-MING
    • 천문학논총
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    • 제30권2호
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    • pp.381-383
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    • 2015
  • MOdified Newtonian Dynamics (MOND) is an alternative to the dark matter paradigm. MOND asserts that when the magnitude of acceleration is smaller than the acceleration parameter $a_0$, the response of the system to gravity is stronger (larger acceleration) than the one given by Newtonian dynamics. The current value of $a_0$ is obtained mostly by observations of spiral galaxies (rotation curves and the Tully-Fisher relation). We attempt to estimate $a_0$ from the dynamics of elliptical galaxies. We seek elliptical galaxies that act as the lens of gravitational lensing systems and have velocity dispersion data available. We analysed 65 Einstein rings from the Sloan Len ACS survey (SLACS). The mass estimates from gravitation lensing and velocity dispersion agree well with each other, and are consistent with the estimates from population synthesis with a Salpeter IMF. The value of $a_0$ obtained from this analysis agrees with the current value.

계면활성(界面活性) 아미노싸이클리톨 유도체(誘導體)의 계면화학적(界面化學的) 성질(性質) (Surface Chemical Properties of Surface Active Aminocyclitol Derivatives)

  • 손주환;이창섭
    • 한국응용과학기술학회지
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    • 제4권1호
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    • pp.45-52
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    • 1987
  • Surface chemical properties including surface tension, Ross-Miles foaming power, foam stabilities, emulsifying properties, emulsion stabilities, effectiveness of dispersion, dispersion stabilites of the quaternary ammonium salt type deoxyaminoimositol derivatives such as sixteen kinds of dimethylafkyl-deoxyscyllo-inosityl- dimethylalkyl-2-deoxy-2-myo-inosityl-, dimethylakyl-2-deoxy-2-epi-inosityl- and dimethylalkyl-4-deoxy-4-myo-inosityl ammonium chlorides are tested. And critical micelle concentration of these compounds are estimated from the curves of surface tension and concentration. The experimental results show that the members of this class of compounds have necessary surface active properties to make them effective surfactants.

Wave dispersion characteristics of porous graphene platelet-reinforced composite shells

  • Ebrahimi, Farzad;Seyfi, Ali;Dabbagh, Ali;Tornabene, Francesco
    • Structural Engineering and Mechanics
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    • 제71권1호
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    • pp.99-107
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    • 2019
  • Wave propagation analysis of a porous graphene platelet reinforced (GPLR) nanocomposite shell is investigated for the first time. The homogenization of the utilized material is procured by extending the Halpin-Tsai relations for the porous nanocomposite. Both symmetric and asymmetric porosity distributions are regarded in this analysis. The equations of the shell's motion are derived according to Hamilton's principle coupled with the kinematic relations of the first-order shear deformation theory of the shells. The obtained governing equations are considered to be solved via an analytical solution which includes two longitudinal and circumferential wave numbers. The accuracy of the presented formulations is examined by comparing the results of this method with those reported by former authors. The simulations reveal a stiffness decrease in the cases which porosity influences are regarded. Also, one must pay attention to the effects of longitudinal wave number on the wave dispersion curves of the nanocomposite structure.

Frequency characteristics of a multiferroic Piezoelectric/LEMV/CFRP/Piezomagnetic composite hollow cylinder under the influence of rotation and hydrostatic stress

  • Selvamani, R.;Mahesh, S.;Ebrahimi, F.
    • Coupled systems mechanics
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    • 제10권2호
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    • pp.185-198
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    • 2021
  • An analytical model is consider to scrutinize axisymmetric wave propagation in multiferroic hollow cylinder with rotating and initial stressed forces, where a piezomagnetic (PM) material layer is bonded to a piezoelectric (PE) cylinder together by Linear elastic materials with voids. Both distinct material combos are taken into account. Three displacement potential functions are introduced to uncouple the equations of motion, electric and magnetic induction. The numerical calculations are carried out for the non-dimensional frequency by fixing wave number and thickness. The arrived outputs are plotted as the dispersion curves for different layers. The results obtained in this paper can offer significance to the application of PE/PM composite hollow cylinder via LEMV and CFRP layers for the acoustic wave and microwave technologies.