• 제목/요약/키워드: Superposed theory

검색결과 19건 처리시간 0.027초

Influence of a weak superposed centripetal flow in a rotor-stator system for several pre-swirl ratios

  • Nour, Fadi Abdel;Rinaldi, Andrea;Debuchy, Roger;Bois, Gerard
    • International Journal of Fluid Machinery and Systems
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    • 제5권2호
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    • pp.49-59
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    • 2012
  • The present study is devoted to the influence of a superposed radial inflow in a rotor-stator cavity with a peripheral opening. The flow regime is turbulent, the two boundary layers being separated by a core region. An original theoretical solution is obtained for the core region, explaining the reason why a weak radial inflow has no major influence near the periphery of the cavity but strongly affects the flow behavior near the axis. The validity of the theory is tested with the help of a new set of experimental data including the radial and tangential mean velocity components, as well as three components of the Reynolds stress tensor measured by hot-wire anemometry. The theoretical results are also in good agreement with numerical results obtained with the Fluent code and experimental data from the literature.

Multiple light diffraction theory in volume gratings using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • 제1권2호
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    • pp.67-73
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    • 1997
  • Light wave diffraction from multiple superposed volume gratings is inestigated using a perturbative iteration method of the integral equation of Maxwell's wave equation. The host material and index gratings are anisotropic and non-coplanar multiple volume gratings are considered. In this method, the paraxial approximation and lack of backward scattering in conventional coupled mode theory are not assumed. Systematic analysis of anisotropic wave diffraction due to multiple noncoplanar volume index gratings is performed in increasing level of diffraction orders corresponding to successive iterations.

Analysis of composite steel-concrete beams using a refined high-order beam theory

  • Lezgy-Nazargah, M.;Kafi, L.
    • Steel and Composite Structures
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    • 제18권6호
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    • pp.1353-1368
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    • 2015
  • A finite element model is presented for the analysis of composite steel-concrete beams based on a refined high-order theory. The employed theory satisfies all the kinematic and stress continuity conditions at the layer interfaces and considers effects of the transverse normal stress and transverse flexibility. The global displacement components, described by polynomial or combinations of polynomial and exponential expressions, are superposed on local ones chosen based on the layerwise or discrete-layer concepts. The present finite model does not need the incorporating any shear correction factor. Moreover, in the present $C^1$-continuous finite element model, the number of unknowns is independent of the number of layers. The proposed finite element model is validated by comparing the present results with those obtained from the three-dimensional (3D) finite element analysis. In addition to correctly predicting the distribution of all stress components of the composite steel-concrete beams, the proposed finite element model is computationally economic.

토양증기추출복원 시스템에서 중첩이론을 고려한 무한 경계조건 실행 (Implementation of Infinite Boundary Condition Considering Superposed Theory on SVE Remediation System)

  • 박정준
    • 한국지반신소재학회논문집
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    • 제6권3호
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    • pp.9-16
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    • 2007
  • 토양증기추출공법(SVE)은 불포화 지반상태에서 휘발성 유기화합물(VOCs)과 유류오염 물질을 제거하는데 효과적이고 경제적인 공법중의 하나이다. 본 연구에서는 기존 연약지반의 지반개량시 사용된 연직배수재(PVDs)를 토양증기추출시스템에 적용하여 짧은 공기배출거리로 최대한 신속하게 오염물질을 제거할 수 있게 하여 투기계수가 낮은 지반에서 오염된 토양을 효과적으로 복원할 수 있는 토양증기추출공법을 적용하는데 목적이 있다. 연직배수재를 이용한 토양증기추출시스템 적용시 실제 현장에서 나타나는 무한 경계 조건을 만족하기 위해서 실내에서 파일럿 규모의 오염복원 모형실험을 결과로 유한경계조건 시스템에서 이미지웰 중첩이론을 이용하여 압력분포를 가정하였다. 즉, 압력강하가 없는 일정수두 경계조건 상태와 토조의 상 하부와 같이 흐름이 없는 불투수경계조건 상태를 유지하기 위해서 이미지웰 중첩이론을 도입하여 경계조건을 수립하였다. 결과, 공기흐름률이 증가할수록 흐름비율도 증가하였다. 따라서 높은 흐름률에 대한 흐름비율도 더 커지게 되는 것이고, 최적화과정동안 공기흐름률은 측정 압력수두와 이미지웰 중첩이론으로부터 구해진 이론 압력수두의 오차율에 미치는 가장 중요한 인자로 판단된다.

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파형해석을 이용한 선형개발법에 관한 연구(I) (Study on the Application of Wave Pattern Analysis to Hull Form Design (1))

  • 강신형;이영길;현범수
    • 한국기계연구소 소보
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    • 통권9호
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    • pp.169-181
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    • 1982
  • This paper presents three methods for ship hull form improvement on the basis of wave pattern analysis. These methods are primarily based on the assumption that a linear relation exists between the small difference of hull sections and the difference of the wave amplitude functions. The improved hull form of ship is made by superposing a thin hull form on that of a parent model. The first method use the simplification of framelines and Michell's Theory to the formula of wave resistance for superposed thin ship. The second method use tent functions and Michell's Theory to that. And the third is experimental method.

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Static deflection of nonlocal Euler Bernoulli and Timoshenko beams by Castigliano's theorem

  • Devnath, Indronil;Islam, Mohammad Nazmul;Siddique, Minhaj Uddin Mahmood;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제12권2호
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    • pp.139-150
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    • 2022
  • This paper presents sets of explicit analytical equations that compute the static displacements of nanobeams by adopting the nonlocal elasticity theory of Eringen within the framework of Euler Bernoulli and Timoshenko beam theories. Castigliano's theorem is applied to an equivalent Virtual Local Beam (VLB) made up of linear elastic material to compute the displacements. The first derivative of the complementary energy of the VLB with respect to a virtual point load provides displacements. The displacements of the VLB are assumed equal to those of the nonlocal beam if nonlocal effects are superposed as additional stress resultants on the VLB. The illustrative equations of displacements are relevant to a few types of loadings combined with a few common boundary conditions. Several equations of displacements, thus derived, matched precisely in similar cases with the equations obtained by other analytical methods found in the literature. Furthermore, magnitudes of maximum displacements are also in excellent agreement with those computed by other numerical methods. These validated the superposition of nonlocal effects on the VLB and the accuracy of the derived equations.

Analysis of Three-Dimensional Cracks in Inhomogeneous Materials Using Fuzzy Theory

  • Lee, Yang-Chang;Lee, Joon-Seong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권2호
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    • pp.119-123
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    • 2005
  • This paper describes a fuzzy-based system for analyzing the stress intensity factors (SIFs) of three-dimensional (3D) cracks. 3D finite element method(FEM) was used to obtain the SIF for subsurface cracks and surface cracks existing in inhomogeneous materials. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy theory. Nodes are generated by the bucketing method, and ten-noded quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. The singular elements such that the mid-point nodes near crack front are shifted at the quarter-points, and these are automatically placed along the 3D crack front. The complete FE model is generated, and a stress analysis is performed. The SIFs are calculated using the displacement extrapolation method. The results were compared with those surface cracks in homogeneous materials. Also, this system is applied to analyze cladding effect of surface cracks in inhomogeneous materials.

원통으로 보강된 평판의 응력해석 (Stress analysis near a circular hole in a flat plate reinforced by a cylinder)

  • 정인승;이대희;이완익;윤갑영
    • 대한기계학회논문집
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    • 제11권5호
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    • pp.800-809
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    • 1987
  • 본 연구에서는 원통에 대하여는 Donnel 식과 Flugge식을 사용하여 원통의 유 한길이에 대한 일반적인 해를 구하였고, 평판에 대하여는 막이론과 굽힘이론을 사용하 여 일반해를 구한 후 중첩하였다. 평판과 원통에 발생하는 미정력계를 구하기 위하 여 가장 합리적이라고 생각되는 접합부에 모든 미정력계가 집중하여 작용한다고 가정 하고, 이 부분에서 평판과 원통의 각각에 대한 하중, 모우멘트, 기울기, 변위 등이 연 속하도록 접한조건식을 세웠다.그리고 이론해석의 타당성을 알아보기 위하여 S 45C 강재로 플러시타잎의 모델을 제작하여 실험을 행하였다.

Hygrothermal Fracture Analysis in Dissimilar Materials

  • Ahn, Kook-Chan;Lee, Tae-Hwan;Bae, Kang-Yul
    • International Journal of Aeronautical and Space Sciences
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    • 제2권2호
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    • pp.65-72
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    • 2001
  • This paper demonstrates an explicit-implicit, finite element analysis for linear as well as nonlinear hygrothermal stress problems. Additional features, such as moisture diffusion equation, crack element and virtual crack extension(VCE) method for evaluating J-integral are implemented in this program. The Linear Elastic Fracture Mechanics(LEFM) Theory is employed to estimate the crack driving force under the transient condition for an existing crack. Pores in materials are assumed to be saturated with moisture in the liquid form at the room temperature, which may vaporize as the temperature increases. The vaporization effects on the crack driving force are also studied. The ideal gas equation is employed to estimate the thermodynamic pressure due to vaporization at each time step after solving basic nodal values. A set of field equations governing the time dependent response of porous media are derived from balance laws based on the mixture theory. Darcy's law is assumed for the fluid flow through the porous media. Perzyna's viscoplastic model incorporating the Von-Mises yield criterion are implemented. The Green-Naghdi stress rate is used for the invariant of stress tensor under superposed rigid body motion. Isotropic elements are used for the spatial discretization and an iterative scheme based on the full Newton-Raphson method is used for solving the nonlinear governing equations.

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GUST 중에서의 2차원 수중익 해석 (An analysis of Two-Dimensional Hydrofoil in Gust)

  • 김형태;이창섭;양승일
    • 한국기계연구소 소보
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    • 제4권2호
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    • pp.49-63
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    • 1982
  • In this paper, a classical gust problem is treated by using the numerical lifting¬-surface theory to verify the effect of gust-a sudden fluctuating fluid velocity around an object, which is normal to the main stream direction-on the hydrody¬namic forces, especially the mean thrust in upstream direction, acting on the two¬-dimensional flat plate. In this case, the mean thrust wholly resorts to the leading edge suction, and it is the same situation to the case of the heaving plate in uniform flow. The ph¬enomenon of leading edge suction is very important for the flapping propulsion of animals, typical to fish and birds, and can be related to the prediction of the hydrodynamic forces acting on marine propellers operating in gustlike wakes of ships. The results of this paper can be easily superposed to those of the reference [1J in order to solve the problem of the two-dimensional oscillacting plate in gust

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