• 제목/요약/키워드: Matched Asymptotic Analysis

검색결과 9건 처리시간 0.028초

Asymptotic Capacity Analysis in Multipoint-to-Point Cognitive Radio Networks with an Arbitrary Peak Power

  • Ji, Jianbo;Chen, Wen;Sun, Shanlin
    • Journal of Communications and Networks
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    • 제15권6호
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    • pp.576-580
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    • 2013
  • In this paper, we investigate the capacity of a multipoint-to-point cognitive radio network. In existing works, the asymptotic capacity is only obtained in the high peak power region at secondary transmitter (ST) or obtained without considering the interference from primary transmitter (PT) for easy analysis. Here, we analyze the asymptotic capacity by considering an arbitrary peak power at the ST and the interference from the PT based on extreme value theory. Simulation results show that our approximated capacity is well-matched to the exact capacity. Furthermore, the scaling law of our capacity is found to be double logarithm of the number of secondary users.

접합 점근법을 이용한 고체입자의 점화에 관한 연구 (A Meched Asymptotic Analyis of Dust Particle Ignition)

  • 백승욱
    • 대한기계학회논문집
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    • 제10권4호
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    • pp.471-476
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    • 1986
  • 본 연구에서는 구모양의 석탄가루나 곡식가루등 비금속성 고체입자가 압축파 (shock wave)에 의해 생성된 고온의 기체속에 놓여있을때 일어나는 점화현상을 활성 화에너지(activation energy)가 큰 경우의 접합 점근법을 이용 해석하였다. 이렇게 하여 얻어진 석탄입자에 대한 점화지연시간을 실험치와 비교 이의 타당성을 입증하였 다.

Nonlinear static analysis of composite cylinders with metamaterial core layer, adjustable Poisson's ratio, and non-uniform thickness

  • Eipakchi, Hamidreza;Nasrekani, Farid Mahboubi
    • Steel and Composite Structures
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    • 제43권2호
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    • pp.241-256
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    • 2022
  • In this article, an analytical procedure is presented for static analysis of composite cylinders with the geometrically nonlinear behavior, and non-uniform thickness profiles under different loading conditions by considering moderately large deformation. The composite cylinder includes two inner and outer isotropic layers and one honeycomb core layer with adjustable Poisson's ratio. The Mirsky-Herman theory in conjunction with the von-Karman nonlinear theory is employed to extract the governing equations which are a system of nonlinear differential equations with variable coefficients. The governing equations are solved analytically using the matched asymptotic expansion (MAE) method of the perturbation technique and the effects of moderately large deformations are studied. The presented method obtains the results with fast convergence and high accuracy even in the regions near the boundaries. Highlights: • An analytical procedure based on the matched asymptotic expansion method is proposed for the static nonlinear analysis of composite cylindrical shells with a honeycomb core layer and non-uniform thickness. • The effect of moderately large deformation has been considered in the kinematic relations by assuming the nonlinear von Karman theory. • By conducting a parametric study, the effect of the honeycomb structure on the results is studied. • By adjusting the Poisson ratio, the effect of auxetic behavior on the nonlinear results is investigated.

초과엔탈피 화염의 점근 해석 (An Asymptotic Analysis of Excess Enthalpy Flame)

  • 이대근
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2014년도 제49회 KOSCO SYMPOSIUM 초록집
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    • pp.135-137
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    • 2014
  • Excess enthalpy flame propagating an porous inert medium, which recirculate exhaust heat to the upstream cold mixture, is theoretically analyzed. Using the activation-energy asymptotics, the flame structure is divided into the thin reaction and the gas-phase preheat zone, as is traditionally done. Ahead and behind of the two, there exist an outer preheat zone, where heat is convectively transferred from solid to gas, and a downstream re-equilibrium zone, where thermal equilibrium between phases is established. Asymptotic solutions of species and energy equations in each zone are obtained and then matched to each other, and finally the mass burning rate is obtained as a function of the flame propagation velocity with respect to the solid phase and physical properties of gas and solid.

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천수역에 놓인 2차원 주상체에 수평방향으로 작용하는 동유체력에 관한 고찰 (Hydrodynamic Forces on a Two-dimensional Cylinder in Shallow Water)

  • 최항순
    • 대한조선학회지
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    • 제23권2호
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    • pp.21-26
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    • 1986
  • An analysis is made of hydrodynamic forces acting horizontally on a two-dimensional cylinder, when it is exposed to incident waves and consequently undergoes a swaying motion in shallow water. Applying the method of matched asymptotic expansions the added mass, wave damping and the wave exciting force are obtained in terms of the difference in potential across the cylinder in a simple manner. The potential jump is related to the so-called blockage coefficient which is determined purely from geometry. It is found that the wave damping coefficient can not exceed the blockage coefficient.

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압축성 회전유체에서 발생하는 Taylor-Proudman 유동에 대한 점근해석 (An asymptotic analysis of the Taylor-Proudman flow in a rapidly-rotating compressible fluid)

  • 박준상;현재민
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.341-344
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    • 2002
  • A matched asymptotic analysis is conducted for a compressible rotating flow in a cylindrical container when a mechanical and/or a thermal disturbance is imposed on the wall. The system Ekman number is assumed to be very small. The conditions for the Taylor-Proudman column in the interior, which were also given in the companion paper Park & Hyun, 2002) by means of the energy balancing analysis, have been re-derived. The concept of the variable, the energy content $e[{\equiv}T+2 {\alpha}^2 {\gamma}{\nu}]$, is reformulated, and its effectiveness in characterizing the energy transport mechanism is delineated. It is seen that, under the condition of the Taylor-Proudman column, numerous admissible theoretical solutions for interior flow exist with an associated wail boundary condition. Some canonical examples are illustrated with comprehensive physical descriptions. The differential heating problem on the top and bottom endwall disks is revisited by using the concept of the energy content. The results are shown to be in line with the previous findings.

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Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials

  • Ghannad, M.;Nejad, M. Zamani;Rahimi, G.H.;Sabouri, H.
    • Structural Engineering and Mechanics
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    • 제43권1호
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    • pp.105-126
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    • 2012
  • Based on the first-order shear deformation theory (FSDT), and the virtual work principle, an elastic analysis for axisymmetric clamped-clamped Pressurized thick truncated conical shells made of functionally graded materials have been performed. The governing equations are a system of nonhomogeneous ordinary differential equations with variable coefficients. Using the matched asymptotic method (MAM) of the perturbation theory, these equations could be converted into a system of algebraic equations with variable coefficients and two systems of differential equations with constant coefficients. For different FGM conical angles, displacements and stresses along the radius and length have been calculated and plotted.

회전유동을 이용한 기체-액체 반응 촉진 기술 연구 (A Study on Gas-Liquid Reaction Intensification by Using Rotating Flow)

  • 박준상
    • 한국가시화정보학회지
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    • 제21권2호
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    • pp.45-54
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    • 2023
  • In the present study, we propose new type of a spinning disk reactor(SDR) with high performance and very convenient structure to make a large scale equipment from lab-scale than the conventional one. A split-disk experimental equipment, based on new type of spinning disk reactor, has been developed to generate an energy to break a bulk of injected gas into smaller gas bubble. Several cases of an experimental observation make it to confirm that a bulk of injecting gas could be continuously break into smaller bubbles. It shows the feasibility to make a scale-up of SDR by using the characteristic of Taylor-Proudman column in rotating flow. A theoretical study on single phase liquid flow is given to predict a liquid induced shear stress, which make the present study to be self-containment.

항만내 파도응답과 계류선박의 운동해석(I) (Wave Responses and Ship Motions in a Harbor Excited by Long Waves(I))

  • 조일형;최항순
    • 대한조선학회논문집
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    • 제29권2호
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    • pp.38-47
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    • 1992
  • 본 연구에서는 항만내 파도응답과 항만안에 계류된 선박의 운동응답을 선형포텐셜이론으로 해석하고 모형시험을 수행하여 항만공진문제의 물리적 특성과 항만내 계류된 선박의 운동특성을 밝혔다. 유체영역을 해양과 항만영역으로 나누어 각 영역에서 경계치문제를 독립적으로 푼 다음, 두 영역의 해를 항만입구에서 정합하여 미지수를 구함으로써 선박에 입사하는 항만내 파도응답을 유도하였다. 선박에 작용하는 파기진력을 계산하고 선체운동에 따르는 동유체력을 해석하였다 얻어진 유체력을 이용하여 운동방정식을 풀어 선박의 운동변위를 구하였다. 사각형 항만안에 계류된 선박의 운동응답에 대한 실험을 수행한 결과 계산치와 실험치는 정성적으로 서로 비슷한 경향을 보이나 정량적으로 차이를 보이고 있음을 확인하였다. 여기서는 우선 선체운동중 대칭운동(전후동요-수직동요-종동요)만을 취급하였다. 비대칭운동(좌우동요-횡동요-선수동요)과 실험결과는 다음 기회에 발표할 예정이다.

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