• Title/Summary/Keyword: Propagation Theory

검색결과 609건 처리시간 0.024초

Stochastic analysis of elastic wave and second sound propagation in media with Gaussian uncertainty in mechanical properties using a stochastic hybrid mesh-free method

  • Hosseini, Seyed Mahmoud;Shahabian, Farzad
    • Structural Engineering and Mechanics
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    • 제49권1호
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    • pp.41-64
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    • 2014
  • The main objective of this article is the exploitation of a stochastic hybrid mesh-free method based on stochastic generalized finite difference (SGFD), Newmark finite difference (NFD) methods and Monte Carlo simulation for thermoelastic wave propagation and coupled thermoelasticity analysis based on GN theory (without energy dissipation). A thick hollow cylinder with Gaussian uncertainty in mechanical properties is considered as an analyzed domain for the problem. The effects of uncertainty in mechanical properties with various coefficients of variations on thermo-elastic wave propagation are studied in details. Also, the time histories and distribution on thickness of cylinder of maximum, mean and variance values of temperature and radial displacement are studied for various coefficients of variations (COVs).

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 Properties of a Partially Coherent Flat-Topped Vortex Hollow Beam in Turbulent Atmosphere

  • Liu, Dajun;Wang, Yaochuan;Wang, Guiqiu;Yin, Hongming
    • Journal of the Optical Society of Korea
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    • 제20권1호
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    • pp.1-7
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    • 2016
  • Using coherence theory, the partially coherent flat-topped vortex hollow beam is introduced. The analytical equation for propagation of a partially coherent flat-topped vortex hollow beam in turbulent atmosphere is derived, using the extended Huygens-Fresnel diffraction integral formula. The influence of coherence length, beam order N, topological charge M, and structure constant of the turbulent atmosphere on the average intensity of this beam propagating in turbulent atmosphere are analyzed using numerical examples.

INTERPRETATION OF ELECTROCHEMICAL NOISE PARAMETERS AS INDICATORS OF INITIATION AND PROPAGATION OF SCC OF AN ALLOY 600 SG TUBE AT HIGH TEMPERATURES

  • Kim, Sung-Woo;Kim, Hong-Pyo
    • Nuclear Engineering and Technology
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    • 제41권10호
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    • pp.1315-1322
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    • 2009
  • The present article is concerned with the application of an electrochemical noise (EN) monitoring technique to analyze the initiation and propagation of Pb-assisted stress corrosion cracking (SCC) of an Alloy 600 material in a simulated environment of a steam generator (SG) sludge pile at high temperatures. A typical increase of electrochemical current noise (ECN) and electrochemical potential noise (EPN) was frequently recorded from the EN measurement in a caustic solution with such impurities as PbO and CuO, indicating that there are localized corrosion events occurring. With the aid of microscopic and spectral analyses, the EN data involving information on such stochastic processes as uniform corrosion and the initiation and propagation of SCC, were analyzed based on a stochastic theory.

Fractional wave propagation in radially vibrating non-classical cylinder

  • Fadodun, Odunayo O.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Earthquakes and Structures
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    • 제13권5호
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    • pp.465-471
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    • 2017
  • This work derives a generalized time fractional differential equation governing wave propagation in a radially vibrating non-classical cylindrical medium. The cylinder is made of a transversely isotropic hyperelastic John's material which obeys frequency-dependent power law attenuation. Employing the definition of the conformable fractional derivative, the solution of the obtained generalized time fractional wave equation is expressed in terms of product of Bessel functions in spatial and temporal variables; and the resulting wave is characterized by the presence of peakons, the appearance of which fade in density as the order of fractional derivative approaches 2. It is obtained that the transversely isotropic structure of the material of the cylinder increases the wave speed and introduces an additional term in the wave equation. Further, it is observed that the law relating the non-zero components of the Cauchy stress tensor in the cylinder under consideration generalizes the hypothesis of plane strain in classical elasticity theory. This study reinforces the view that fractional derivative is suitable for modeling anomalous wave propagation in media.

임원에서의 1983년 동해 중부 지진해일 수치모의: 1. 동해에서의 전파 (Numerical Simulations of 1983 Central East Sea Tsunami at Imwon: 1. Propagation across the East Sea)

  • 조용식;이호준
    • 한국수자원학회논문집
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    • 제35권4호
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    • pp.443-452
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    • 2002
  • 본 연구에서는 지난 수십 년간 가장 파괴적인 지진해일로 기록된 1983년 동해에서 발생한 지진해일이 동해를 거쳐 우리나라 동해안으로 전파해오는 과정을 수치해석하였다. 천수방정식에 근거한 수치모형을 이용하였으며, 물리적 분산은 leap-frog 유한차분기법에 의해 발생하는 수치분산으로 어느 정도 대체하도록 하였다. 진원으로부터 지진해일 전파도와 파향선법에 의한 전파제적을 산정하였다.

유한요소해석을 통한 탄성폼이 대어진 덕트내의 소음전파 특성 해석 (Finite Element Analysis for Sound Propagation Characteristics in a Duct Lined with Poroelastic Foams)

  • Lee, Seung-Yup;Kang, Yeon-June
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
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    • pp.876-876
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    • 2001
  • Axisymmetric finite element model is developed to determine sound propagation characteristics in a circular duct lined with a poroelastic foam. The foam and air models are derived based on the Biot's theory and the Helmholtz equation respectively and finally result in a quadratic eigenvalue problem in the wave number. Some cross sectional mode shapes are shown and sound attenuations and phase speeds of some acoustic modes are given. Those of fundamental modes are compared with those by forced response solutions and those from measurement results. The influence of lining thickness is also described on sound propagation characteristics.

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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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    • 제46권1호
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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.

Analysis of the fracture of brittle elastic materials using a continuum damage model

  • Costa Mattos, Heraldo S.;Sampaio, Rubens
    • Structural Engineering and Mechanics
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    • 제3권5호
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    • pp.411-427
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    • 1995
  • The most known continuum damage theories for brittle structures are suitable to model the degradation of the material due to the deformation process and the consequent initiation of a macro-crack. Nevertheless, they are not able to describe the propagation of the crack that leads, eventually, to the breakage of the structure into parts that undergo rigid body motion. This paper presents a theory, formulated from formal arguments of Continuum Mechanics, that may describe not only the degradation but also the fracture of elastic structures. The modeling of such a discontinuous phenomenon through a continuous theory is possible by taking a cohesion variable, related with the links between material points, as an additional degree of kinematical freedom. The possibilities of the proposed theory are discussed through examples.

빛의 간섭성 이론 (Modern Coherence Theory of Light)

  • 김기식;이종민
    • 한국광학회지
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    • 제2권1호
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    • pp.36-49
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    • 1991
  • The coherence properties of electromagnetic fields are reviewed, based on both the classical and quantum theories. The elementary concepts, employed frequently in the discussion of interference phenomena, are summarized. The well-known interference phenomena are described in terms of second-order coherences. The coherence theory in space-frequency domain is introduced and the coherent mode representation is presented. The generation and propagation of coherence of light are analysed and it is shown that the coherence of light is developed as light propagates. The quantum theory goes parallel with the classical theory, via the optical equivalence theorem. There are, however, certain nonclassical characteristics of light, which may not be easily understood in classical therms. These nonclassical phenomena are believed to originate from the particle aspects of light. The quantum effect on the interfernce phenomena is analysed and finally the outlook of the future research is briefly mentioned.

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