• 제목/요약/키워드: Semi-Infinite Space

검색결과 34건 처리시간 0.023초

파수 영역에서 지향성 구조-음향 연성 방사체 설계 (Design of Directional Structural-Acoustic Coupled Radiator in Wave Number Domain)

  • 서희선;김양한
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.240-243
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    • 2005
  • A design procedure using spatial Fourier transform is presented for a structural-acoustic coupled radiator that can emit sound in the desired direction with high power and low side lobe level. The design procedure consists of three steps. Firstly, the structural-acoustic coupled radiator is chosen to obtain strong coupling between structural vibration and acoustic pressure. The radiator is composed by two spaces which are separated by a wall. Spaces can be categorized as reverberant finite space and unbounded semi-infinite space, and the wall are composed of two plates and an opening. The velocities on the wall are predicted. Secondly, directivity and energy distribution of radiator are predicted in wave number domain using spatial Fourier transform. Finally, optimal design variables are calculated using a dual optimal algorithm. Its computational example is presented including the directivity and resulting pressure distribution using proposed procedure.

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구조-음향 연성현상을 이용한 지향성 방사패턴 설계 (Directional Radiation Pattern Design Using Structural-Acoustic Coupling)

  • 서희선;김양한
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.751-754
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    • 2004
  • This paper presents a design of the directional radiation pattern by using the structural-acoustic interaction. For this purpose, prediction of the pressure distribution of the field points and radiation pattern of the structural-acoustic coupling system is shown. In order to get a strong coupling, coupled system that has a finite space and a semi-infinite space separated by two flexible walls and an opening is selected. A volume interaction can be occurred in structure boundary and a pressure interaction can be happened in the opening boundary. The coupled system is maximized the radiation power on the main axis and minimized the side lobe level.

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디스크소스로부터 NAPL의 확산손실에 관한 수학적 모델 (Mathematical Models on Diffusive Loss of Non-Aqueous Phase Organic Solvents from a Disk Source)

  • Yoon, In-Taek;S.E., Dickson
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제13권6호
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    • pp.40-49
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    • 2008
  • 평평한 fractures에서 공극을 가진 모암으로의 NAPL 확산을 수치적인 방법으로 해석하였다. 2D와 3D에 대한 일회성 디스크 소스와 3D 연속 디스크소스에 대한 모델은 Caralaw and Jaeger(1959)의 이론을 바탕으로 개발하였다. 3D 연속 디스크소스에 대해 공극모암으로 확산되는 NAPL의 총량을 계산할 수 없기 때문에 확산이 반구형으로 이루어진다고 가정하여 등농도선의 합을 이용하여 공극모암으로 확산되는 NAPL의 총량을 계산하였다. 수치적 계산에 따르면 2D 대비 3D의 경우에 NAPL 손실 시간이 현저히 빠른 것으로 나타났으며, 디스크 소스의 중심점에서 normalized된 농도는 일회성 디스크 소스는 시간에 따라 감소하고, 연속 디스크 소스는 증가하는 것으로 나타났으며, 시간과 공간에 따라 확산율은 감소하는 것으로 나타났다. 그리고 NAPL의 mass 손실은 1에 도달하지 못하였으며, 이는 연속 디스크 소스를 semi-infinite로 가정하고 적분했기 때문이다. 확산에 의해 사라지는 시간은 소스의 크기 및 모암 공극률 크기 증가에 비례해서 지수함수적으로 증가하고, 반면 NAPL의 용해성이 증가하면 감소하는 것으로 나타났다.

주변 공동을 고려한 터널의 동적거동에 관한 연구 (A Study on the Dynamic Behavior of Underground Tunnels with a Cavity)

  • 김민규;이종우;이종세
    • 터널과지하공간
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    • 제12권3호
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    • pp.171-178
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    • 2002
  • 본 연구에서는 마제형터널 주변에 공동이 존재하는 경우에 대해 동적해석을 수행함으로써 터널주변의 공동이 터널의 동적거동에 미치는 영향을 검토하였다. 이를 위해 반무한 평면상에서 터널의 동적응답해석을 수행할 수 있는 해석기법을 개발하였다. 먼저 주파수 영역에서의 다층 반무한 지반내에서의 동적 기본해를 유도하였고 이를 경계요소에 적용하였다. 외부영역을 모형화한 경계요소를 내부영역의 유한요소와 조합하여 반무한 영역에서의 터널구조의 동적응답을 구할 수 있도록 하였다. 개발된 기법의 검증을 위하여 단층 및 다층 반무한 구조계에 대해 Ricker 파형을 이용한 동적해석을 수행하여 기존의 해석결과와 비교하였고, 개발된 기법을 이용하여 석회암층에 있는 터널에 대해 공동의 유무 및 터널과의 이격거리에 따른 터널의 동적거동을 고찰하였다.

해밀토니안의 시간 불연속 변분적분기를 이용한 2차원 탄소성 응력파 해석 (Analysis of 2-Dimensional Elasto-Plastic Stress by a Time-Discontinuous Variational Integrator of Hamiltonian)

  • 조상순;허훈;박광춘
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2008년도 추계학술대회 논문집
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    • pp.263-266
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    • 2008
  • This paper is concerned with the analysis of elasto-plastic stress waves in a mode I semi-infinite cracked solid subjected to Heaviside pulse load. This study adopts a time-discontinuous variational integrator based on Hamiltonian in order to reduce the numerical dispersive and dissipative errors. This also utilizes an integration scheme of the constitutive model with 2nd-order accuracy which is formulated on the strain space for a rate and temperature dependent material model. Finite element analyses of elasto-plastic stress waves are carried out in order to compare the accuracy between a conventional Galerkin method and the time- discontinuous variational integrator.

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Reflection and refraction of plane waves in layered nonlocal elastic and anisotropic thermoelastic medium

  • Lata, Parveen
    • Structural Engineering and Mechanics
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    • 제66권1호
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    • pp.113-124
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    • 2018
  • In the present paper, we have considered a layered medium of two semi-infinite nonlocal elastic solids with intermediate transversely isotropic magnetothermoelastic solid. The intermediate slab is of uniform thickness with the effects of two temperature, rotation and Hall current and with and without energy dissipation. A plane longitudinal or transverse wave propagating through one of the nonlocal elastic solid half spaces, is made incident upon transversely isotropic slab and it results into various reflected and refracted waves. The amplitude ratios of various reflected and refracted waves are obtained by using appropriate boundary conditions. The effect of nonlocal parameter on the variation of various amplitude ratios with angle of incidence are depicted graphically. Some cases of interest are also deduced.

Effect of energy dissipation on plane waves in sandwiched layered thermoelastic medium

  • Lata, Parveen
    • Steel and Composite Structures
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    • 제27권4호
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    • pp.439-451
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    • 2018
  • In the present investigation, a plane P (longitudinal) wave is made incident upon a transversely isotropic magnetothermoelastic solid slab of uniform thickness, interposed between two different semi-infinite viscoelastic solids. The transversely isotropic magnetothermoelastic sandwiched layer is homogeneous with combined effects of two temperature, rotation and Hall current in the context of GN Type-II and Type-III (1993) theory of thermoelasticity. The amplitude ratios of various reflected and refracted waves are obtained by using appropriate boundary conditions. The effect of energy dissipation on various amplitude ratios of longitudinal wave with angle of incidence are depicted graphically. Some cases of interest are also deduced from the present investigation.

Thermo-mechanical response of size-dependent piezoelectric materials in thermo-viscoelasticity theory

  • Ezzat, Magdy A.;Al-Muhiameed, Zeid I.A.
    • Steel and Composite Structures
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    • 제45권4호
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    • pp.535-546
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    • 2022
  • The memory response of nonlocal systematical formulation size-dependent coupling of viscoelastic deformation and thermal fields for piezoelectric materials with dual-phase lag heat conduction law is constructed. The method of the matrix exponential, which constitutes the basis of the state-space approach of modern control theory, is applied to the non-dimensional equations. The resulting formulation together with the Laplace transform technique is applied to solve a problem of a semi-infinite piezoelectric rod subjected to a continuous heat flux with constant time rates. The inversion of the Laplace transforms is carried out using a numerical approach. Some comparisons of the impacts of nonlocal parameters and time-delay constants for various forms of kernel functions on thermal spreads and thermo-viscoelastic response are illustrated graphically.

다양한 경계 형상에 따른 구조-음향 연성계의 음향특성 (The Effects of the Boundary Shapes on the Structural-acoustic Coupled System)

  • 김양한;서희선
    • 한국소음진동공학회논문집
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    • 제14권8호
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    • pp.718-725
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    • 2004
  • If a wall separates the bounded and unbounded spaces, then the wall’s role in transporting the acoustic characteristics of the two spaces is not well defined. In this paper, we attempted to see how the acoustic characteristics of two spaces are really affected by the spatial characteristics of the wall. In order to understand coupling mechanism, we choose a finite space and a semi-infinite space separated by the flexible or rigid wall and an opening. A volume interaction can be occurred in structure boundary and a pressure Interaction can be happened in the opening boundary. For its simplicity, without loosing generality, we use rather simplified rectangle model instead of generally shaped model. The source impedance is presented to the various types of boundaries. The distributions of pressure and active intensity are also presented at the cavity- and structure-dominated modes. The resulting modification, shifts of modal frequencies and changing of standing wave patterns to satisfy both coupled boundary conditions and governing equations, are presented.

Influence of wall flexibility on dynamic response of cantilever retaining walls

  • Cakir, Tufan
    • Structural Engineering and Mechanics
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    • 제49권1호
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    • pp.1-22
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    • 2014
  • A seismic evaluation is made of the response to horizontal ground shaking of cantilever retaining walls using the finite element model in three dimensional space whose verification is provided analytically through the modal analysis technique in case of the assumptions of fixed base, complete bonding behavior at the wall-soil interface, and elastic behavior of soil. Thanks to the versatility of the finite element model, the retained medium is then idealized as a uniform, elastoplastic stratum of constant thickness and semi-infinite extent in the horizontal direction considering debonding behavior at the interface in order to perform comprehensive soil-structure interaction (SSI) analyses. The parameters varied include the flexibility of the wall, the properties of the soil medium, and the characteristics of the ground motion. Two different finite element models corresponding with flexible and rigid wall configurations are studied for six different soil types under the effects of two different ground motions. The response quantities examined incorporate the lateral displacements of the wall relative to the moving base and the stresses in the wall in all directions. The results show that the wall flexibility and soil properties have a major effect on seismic behavior of cantilever retaining walls and should be considered in design criteria of cantilever walls. Furthermore, the results of the numerical investigations are expected to be useful for the better understanding and the optimization of seismic design of this particular type of retaining structure.