• 제목/요약/키워드: elastic media

검색결과 142건 처리시간 0.032초

Analysis of partially embedded beams in two-parameter foundation

  • Akoz, A.Yalcin;Ergun, Hale
    • Structural Engineering and Mechanics
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    • 제42권1호
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    • pp.1-12
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    • 2012
  • In this study, Pasternak foundation model, which is a two parameter foundation model, is used to analyze the behavior of laterally loaded beams embedded in semi-infinite media. Total potential energy variation of the system is written to formulate the problem that yielded the required field equations and the boundary conditions. Shear force discontinuities are exposed within the boundary conditions by variational method and are validated by photo elastic experiments. Exact solution of the deflection of the beam is obtained. Both foundation parameters are obtained by self calibration for this particular problem and loading type in this study. It is shown that, like the first parameter k, the second foundation parameter G also depends not only on the material type but also on the geometry and the loading type of the system. On the other hand, surface deflection of the semi infinite media under singular loading is obtained and another method is proposed to determine the foundation parameters using the solution of this problem.

Dynamic response of pipe pile embedded in layered visco-elastic media with radial inhomogeneity under vertical excitation

  • Cui, Chun Y.;Meng, Kun;Wu, Ya J.;Chapman, David;Liang, Zhi M.
    • Geomechanics and Engineering
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    • 제16권6호
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    • pp.609-618
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    • 2018
  • A new mechanical model for predicting the vibration of a pipe pile embedded in longitudinally layered visco-elastic media with radial inhomogeneity is proposed by extending Novak's plain-strain model and complex stiffness method to consider viscous-type damping. The analytical solutions for the dynamic impedance, the velocity admittance and the reflected signal of wave velocity at the pile head are also derived and subsequently verified by comparison with existing solutions. An extensive parametric analysis is further performed to examine the effects of shear modulus, viscous damping coefficient, coefficient of disturbance degree, weakening or strengthening range of surrounding soil and longitudinal soft or hard interbedded layer on the velocity admittance and the reflected signal of wave velocity at the pile head. It is demonstrated that the proposed model and the obtained solutions provide extensive possibilities for practical application compared with previous related studies.

Fourier 방법을 이용한 불균일 고체의 탄성파전달해석 (An analysis of elastic wave propagation in inhomogeneous solids using the Fourier method)

  • 김현실
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1998년도 학술발표대회 논문집 제17권 1호
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    • pp.327-330
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    • 1998
  • Wave propagation in inhomogeneous elastic media is studied by using the Fourier method, where the spatial derivatives are computed by the FFT algorithm, while the time derivatives are expanded into the second order finite different expansion. For numerical examples, wave propagation in the layered half-plane are investigated. The comparisons of numerical and analytic results shows good agreement.

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AN ENERGY FUNCTION FOR TRANSVERSELY-ISOTROPIC ELASTIC MATERIAL AND THE PONYTING EFFECT

  • Akinola, Ade
    • Journal of applied mathematics & informatics
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    • 제6권3호
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    • pp.873-884
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    • 1999
  • On the basis of the semi-linear material of John invoking the theory of homogenization for heterogeneous media and the theory of invariants for isotropic scalar functions an energy function is built for a transversely-isotropic medium in finite elastic deformation. The ponyting Effect for material in simple shear is reviewed for this case of transversal isotropy. It is shown that this effect is apprehended by the constructed energy function.

관상동맥 내강 절단면의 영상분석을 위한 소프트웨어 개발 (Software Development for Image Analysis of Luminal Cross-Section in Elastic Stained Coronary Image)

  • 최익환;양우익;최흥국
    • 한국멀티미디어학회:학술대회논문집
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    • 한국멀티미디어학회 2002년도 춘계학술발표논문집(상)
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    • pp.145-148
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    • 2002
  • 본 논문에서는 관상동맥 질환의 객관적 분석을 위해, 혈관단면영상에서의 ROI(Lumen, Media, Plaque)에 대한 정확한 분할과 분할한 영역에서 질병을 유발시키는 요소들에 대한 정량적 분석을 위한 소프트웨어를 개발하였다. 본 시스템은 Visual C++ 6.0을 이용하여 개발하였으며, 현미경으로부터 획득한 관상동맥 단면영상에 적용하여 Lumen, Media와 Plaque를 분할하고, 각 영역의 형태학적 특징을 추출하여 분석 결과를 파일로 저장할 수 있도록 구현하였다. 분석된 결과는 심장질환의 객관적 진단을 위한 보조판단근거로써 사용될 것으로 기대한다.

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다층구조물내의 탄성파 전파해석 (An Analysis of Elastic Wave Propagation in Multilayered Media)

  • 김현실
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1999년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring
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    • pp.143-150
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    • 1999
  • Elastic wave propagation in a multilayered elastic half-plane is studied by using the Cagniard-de Hoop method. After the unknowns are expressed in terms of the reflection and transmission coefficients in the in terms of the reflection and transmission coefficients in the integral-transformed domains they are assmbled to form the global matrix equation. The inverse Laplace transform of each term is done by applying the Cagniard-de Hoop methods. As a numerical example a four-layered half-plane is considered where a point source is applied to the first layer. The method described in the present study can be used in checking other numerical methods such as FDM.

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포화된 다공성 지반의 모델링을 위한 동적해석 프로그램(MPDAP)의 이론 및 이의 검증에 괄한 연구 (A Study on the Theory and Its Verification of Dynamic Analysis Program (MPDAP) for Modelling of Saturated Multi Phase Porous Media)

  • 김광진;문홍득
    • 한국지반공학회지:지반
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    • 제13권1호
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    • pp.5-18
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    • 1997
  • 일반적으로 포화지반의 동적거동을 정확히 예편하기 위해서는 다공성(multi-phase) 재료모델과 그 모델을 이용하는 수치해석 프로그램의 개발이 필요하다. 본 논문에서는 높은 동하중을 받는 다공질 재료의 이론적인 거동해석 연구결과와 함께 기존 MPDAP(multi-phase dynamic analysis program)에 JWL(Jones-Withins-Lee) 모델을 삽입시켜 개발한 MPDAP에 대해 다루었다. JWL모델은 기존 모델과는 달리 폭약의 종류 및 특성 등을 고려할 수 있는 모델이다. 또한 본 논문에서는 개발된 프로그램의 적합성을 조사하기 위하여 몇몇 예제에 대한 검증해석을 수행하였다. 검증결과, 단일매체 (single-phase medium)에서의 탄성구형파의 전파특성 해석의 경우 해석결과와 이론해는 거의 일치하는 결과를 나타내었고, 일차원 선형 압밀해석의 경우과잉 간극수압은 Terzaghi의 이론해와 해석된 결과가 비교적 일치하는 경향성을 보여 주었다. 또한 포화지반에서의 평면 압축파 해석의 경우도 해석결과와 이미 검증된 프로그램 또는 완전해의 해석결과는 거의 유사하게 나타나는 것을 알 수 있었다.

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Determination of elastic parameters of the deformable solid bodies with respect to the Earth model

  • Guliyev, Hatam H.;Javanshir, Rashid J.;Hasanova, Gular H.
    • Geomechanics and Engineering
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    • 제15권5호
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    • pp.1071-1080
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    • 2018
  • The study of behavior and values of deformations in the geological medium makes the scientific basis of the methodology of synthesis of true values of parameters of its physico-mechanical and density properties taking into account the influence of geodynamic impacts. The segments of continuous variation of homogeneous elastic uniform deformations are determined under overall compression of the medium. The limits of these segments are defined according to the criteria of instability (on geometric form changes and on "internal" instability). Analytical formulae are obtained to calculate current and limiting (critical) values of deformations within the framework of various variants of small and large initial deformations of the non-classically linearized approach of non-linear elastodynamics. The distribution of deformation becomes non-uniform in the medium while the limiting values of deformations are achieved. The proposed analytical formulae are applicable only within homogeneous distribution of deformations. Numerical experiments are carried out for various elastic potentials. It is found that various forms of instability can precede phase transitions and destruction. The influence of these deformation phenomena should be removed while the physico-mechanical and density parameters of the deformed media are determined. In particular, it is necessary to use the formulae proposed in this paper for this purpose.

낮은 구속압에서 고결화 혼합재의 미소변형강성 (Small Strain Stiffness of Salt-Cemented Granular Media under Low Confining Pressure)

  • 쭝꽝훙;변용훈;짠밍콰;이종섭
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 춘계 학술발표회
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    • pp.448-456
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    • 2010
  • The mechanical behavior of granular soils is affected by particle bonding including natural cementation. This study addresses a simple model of small strain stiffness and salt concentration based on wave measurements of salt-cemented particulate media. Published models of artificially cemented soils with different curing methods and several types of cementation agents are reviewed. Glass beads with the median diameter of D50 = 0.5mm are prepared in rectangular cells using the water-pluviated method in salt water with different concentrations. Piezo disk elements and bender elements embedded in the cell are used for the measurements of compressional and shear waves. The relationships between elastic wave velocities and salt concentration show an exponential function. The measured small strain stiffness matches well the predicted small strain stiffness based on micromechanics for simple cubic monosized sphere particles. This study demonstrates that the salt concentration in salt-cemented specimen may be evaluated by using elastic wave velocities.

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