• 제목/요약/키워드: Hyperbolic system

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Correlation Between Exposure Rate and Quasi-Effective Energy of Natural Radiation in Japan -TLD Application-

  • Nakajima, Toshiyuki
    • Journal of Radiation Protection and Research
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    • 제12권1호
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    • pp.54-60
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    • 1987
  • The quasi-exposure rate and the quasi-effective energy of the natural radiation in the field at 47 monitoring points around nuclear power plants have been studied with the pair filter thermoluminescence dosimeter system. The results of the six years observation showed that the relationship between the quasi-exposure rate $X_q$, and quasi-effective energy $E_q$ can be represented as a hyperbolic function: $X_q=A+C/(E_q-B)$, where the constants A and B correspond to the quasi-exposure rate of cosmic-rays and the minimum quasi-effective energy of natural radiation, respectively. Furthermore, the constant A is in close agreement with the values obtained by using ionization chambers and scintillation detectors. The constant B is approximately 0.68 MeV, closely corresponding to the mean energy of the photons emitted from natural uranium.

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길이방향으로 이동하고 장력을 가진 보의 경계제어를 통한 지수안정화 (Exponential Stabilization of an Axially Translating Tensioned Beam by Boundary Control Together with a Passive Damper)

  • 최지윤;홍금식
    • 제어로봇시스템학회논문지
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    • 제9권1호
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    • pp.1-9
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    • 2003
  • An active control of the lateral vibration of a translating tensioned Euler-Bemoulli beam is investigated. The dynamics of the translating tensioned beam is represented by a non-linear hyperbolic partial differential equation. A right boundary control law based upon the Lyapunov's second method is derived. The transverse motion of the translating tensioned beam is controlled by a time-varying external force besides a passive damping applied at the right boundary. Exponential stability of the closed loop system is proved. Simulation results demonstrate the effectiveness of the proposed controller.

Adaptive Filtering Processing for Target Signature Enhancement in Monostatic Borehole Radar Data

  • Hyun, Seung-Yeup;Kim, Se-Yun
    • Journal of electromagnetic engineering and science
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    • 제14권2호
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    • pp.79-81
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    • 2014
  • In B-scan data measured by a pulse-type monostatic borehole radar, target signatures are seriously obscured by two clutters that differ in orientation and intensity. The primary clutter appears as a nearly constant time delay, which is caused by internal ringing between antenna and transceiver in the radar system. The secondary clutter occurs as an oblique time delay due to the guided borehole wave along the logging cable of the radar antenna. This issue led us to perform adaptive filtering processing for orientation-based clutter removal. This letter describes adaptive filtering processing consisting of a combination of edge detection, data rotation, and eigenimage filtering. We show that the hyperbolic signatures of a dormant air-filled tunnel target can be more distinctly enhanced by applying the proposed approach to the B-scan data, which are measured in a well-suited test site for underground tunnel detection.

NUMERICAL COUPLING OF TWO SCALAR CONSERVATION LAWS BY A RKDG METHOD

  • OKHOVATI, NASRIN;IZADI, MOHAMMAD
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권3호
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    • pp.211-236
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    • 2019
  • This paper is devoted to the study and investigation of the Runge-Kutta discontinuous Galerkin method for a system of differential equations consisting of two hyperbolic conservation laws. The numerical coupling flux which is used at a given interface (x = 0) is the upwind flux. Moreover, in the linear case, we derive optimal convergence rates in the $L_2$-norm, showing an error estimate of order ${\mathcal{O}}(h^{k+1})$ in domains where the exact solution is smooth; here h is the mesh width and k is the degree of the (orthogonal Legendre) polynomial functions spanning the finite element subspace. The underlying temporal discretization scheme in time is the third-order total variation diminishing Runge-Kutta scheme. We justify the advantages of the Runge-Kutta discontinuous Galerkin method in a series of numerical examples.

3차원 TDOA 위치 측정 시스템에서 음향 센서의 위치 오차에 따른 PDOP에 관한 연구 (A Study on PDOP due to the Position Error of Acoustic Sensors in the 3D TDOA Positioning System)

  • 오종택
    • 한국인터넷방송통신학회논문지
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    • 제15권1호
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    • pp.199-205
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    • 2015
  • 많은 사용자가 항상 휴대하는 스마트폰을 대상으로 실내에서의 위치 인식을 위한 기술 개발이 매우 활발하다. 특히 음향 신호를 이용한 TDOA 방식의 위치 측정 시스템도 많이 연구되고 있는데, 이 방식은 스마트폰의 스피커와 음향 신호를 수신하기 위한 위치 측정 장치에 설치된 마이크들 사이의 거리를 측정하고 관련 쌍곡선 수식을 계산하여 스마트폰의 위치를 추정하는 것이다. 그러나 스피커와 각 마이크 사이의 거리를 측정하는 것에 항상 오차가 있고, 게다가 위치 측정 장치에 설치된 음향 센서인 마이크의 설치 위치 오차에 따라서 위치 측정 오차가 매우 크게 발생한다. 본 논문에서는 3차원 TDOA 위치 측정 시스템에서 음향 센서의 위치 오차에 따른 위치 측정 오차가 PDOP 시뮬레이션과 실험으로 분석되었다.

Modeling and Simulation for PIG with Bypass Flow Control in Natural Gas Pipeline

  • Nguyen, Tan-Tien;Kim, Sang-Bong;Yoo, Hui-Ryong;Park, Yong-Woo
    • Journal of Mechanical Science and Technology
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    • 제15권9호
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    • pp.1302-1310
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    • 2001
  • This paper introduces modeling and simulation results for pipeline inspection gauge (PIG) with bypass flow control in natural gas pipeline. The dynamic behaviour of the PIG depends on the different pressure across its body and the bypass flow through it. The system dynamics includes: dynamics of driving gas flow behind the PIG, dynamics of expelled gas in front of the PIG, dynamics of bypass flow, and dynamics of the PIG. The bypass flow across the PIG is treated as incompressible flow with the assumption of its Mach number smaller than 0.45. The governing nonlinear hyperbolic partial differential equations for unsteady gas flows are solved by method of characteristics (MOC) with the regular rectangular grid under appropriate initial and boundary conditions. The Runge-Kuta method is used for solving the steady flow equations to get initial flow values and the dynamic equation of the PIG. The sampling time and distance are chosen under Courant-Friedrich-Lewy (CFL) restriction. The simulation is performed with a pipeline segment in the Korea Gas Corporation (KOGAS) low pressure system, Ueijungboo-Sangye line. Simulation results show us that the derived mathematical model and the proposed computational scheme are effective for estimating the position and velocity of the PIG with bypass flow under given operational conditions of pipeline.

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Buckling and Post buckling Analysis of Composite Plates with Internal Flaws

  • Sreehari, VM;Maiti, DK
    • International Journal of Aerospace System Engineering
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    • 제2권2호
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    • pp.19-23
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    • 2015
  • This work deals with the study of buckling and post buckling characteristics of laminated composite plates with and without localized regions of damage. The need of a detailed study on Finite Element Analysis of buckling and post buckling of laminated composite structures considering various aspects enhances the interest among researchers. Mathematical formulation is developed for damaged composite plates using a finite element technique based on Inverse Hyperbolic Shear Deformation Theory. This theory satisfies zero transverse shear stresses conditions at the top and bottom surfaces of the plate and provides a non-linear transverse shear stress distribution. Damage modeling is done using an anisotropic damage formulation, which is based on the concept of stiffness change. The structural elements are subjected to in-plane loading. The computer program is developed in MATLAB environment. The numerical results are presented after through validation of developed finite element code. The effect of damage on buckling and post buckling has been carried out for various parameters such as amount of percentage of damaged area, damage intensity, etc. The results show that the presence of internal flaws will significantly affect the buckling characteristics of laminated composite plates. The outcomes and remarks from this work will assist to address some key issues concerning composite structures.

A well-balanced PCCU-AENO scheme for a sediment transport model

  • Ndengna, Arno Roland Ngatcha;Njifenjou, Abdou
    • Ocean Systems Engineering
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    • 제12권3호
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    • pp.359-384
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    • 2022
  • We develop in this work a new well-balanced preserving-positivity path-conservative central-upwind scheme for Saint-Venant-Exner (SVE) model. The SVE system (SVEs) under some considerations, is a nonconservative hyperbolic system of nonlinear partial differential equations. This model is widely used in coastal engineering to simulate the interaction of fluid flow with sediment beds. It is well known that SVEs requires a robust treatment of nonconservative terms. Some efficient numerical schemes have been proposed to overcome the difficulties related to these terms. However, the main drawbacks of these schemes are what follows: (i) Lack of robustness, (ii) Generation of non-physical diffusions, (iii) Presence of instabilities within numerical solutions. This collection of drawbacks weakens the efficiency of most numerical methods proposed in the literature. To overcome these drawbacks a reformulation of the central-upwind scheme for SVEs (CU-SVEs for short) in a path-conservative version is presented in this work. We first develop a finite-volume method of the first order and then extend it to the second order via the averaging essentially non oscillatory (AENO) framework. Our numerical approach is shown to be well-balanced positivity-preserving and shock-capturing. The resulting scheme could be seen as a predictor-corrector method. The accuracy and robustness of the proposed scheme are assessed through a carefully selected suite of tests.

Pivalic Acid-Ethanol 및 Succinonitrile-Salol 계에서의 수지상정 선단의 형상 (Dendrite Tip Shapes of Pivalic Acid-Ethanol and Succinonitrile-Salol Systems)

  • 석명진;박영민;오승탁;장시영
    • 대한금속재료학회지
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    • 제49권7호
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    • pp.570-576
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    • 2011
  • The shape of a dendrite tip has long been approximated by a paraboloid of revolution, but many attempts have been made as well to more accurately match the dendrite tip profile using other mathematical functions: power function, 4th order polynomial, and hyperbolic function. In the present work, dendrite tip shapes were matched by parabolic function. The differences between the dendrite tip shapes of pivalic acid(PVA)-ethanol(Eth) and succinonitrile(SCN)-salol systems, characterized by anisotropic and isotropic solid-liquid interfacial properties, respectively, were quantitatively treated using shape parameters. The PVA-Eth system showed a slightly higher Z/R value than the SCN-salol system, their Z/R values lying in the range 2-4. (Z is the distance from the tip beyond which the parabolic fit starts to deviate from the profile, and R the tip radius.) ${\lambda}_P$ is the distance from the tip beyond which side branching starts to appear, and is larger in the PVA-Eth system than the SCNsalol system. ${\lambda}_P$ is different for both sides of the 2-dimensional dendrite profile. The difference of ${\lambda}_P$ between both sides of the dendrite is larger for PVA-Eth system than for SCN-salol, implying that the dendrite of PVA-Eth is less symmetric than that of SCN-salol.

Catadioptric 전방향 스테레오 영상시스템 및 3차원 좌표 복원 (Catadioptric Omnidirectional Stereo Imaging System and Reconstruction of 3-dimensional Coordinates)

  • 김순철;이수영
    • 한국산학기술학회논문지
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    • 제16권6호
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    • pp.4108-4114
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    • 2015
  • 광학 반사체를 이용하여 카메라 영상을 얻는 방법을 catadioptric 영상법이라고 부른다. Catadioptric 영상법은 360도 모든 방향의 시각정보를 한 장의 영상면에 담기 위한 전방향 영상 획득시스템에 많이 사용된다. 대표적인 전방향 광학 반사체로서 그릇 모양의 3차원 쌍곡면형 거울이 있다. 본 논문에서는 쌍곡면형 반사체를 이용한 catadioptric 전방향 영상 시스템에 간단히 오목 렌즈를 추가함으로써 하나의 카메라로 시점이 다른 전방향 스테레오 영상을 얻는 방법에 관해 연구하였다. 시점이 다른 전방향 스테레오 영상 정합을 통해 대상 물체의 3차원 좌표를 복원할 수 있다. 본 전방향 스테레오 영상 시스템은 한 대의 카메라를 사용하므로 경제적이며, 스테레오 영상간에 카메라 내재 매개변수가 같으므로 정합이 쉽다는 장점이 있다. 본 논문에서는 3차원 좌표값 측정에 필요한 매개변수들을 3 단계 캘리브레이션을 이용하여 추출하였고, 실험을 통해 전방향 3차원 거리측정 성능을 검증하였다. 또한 거리측정 정밀도를 분석하여 본 스테레오 영상 시스템의 신뢰할 만한 측정범위를 제시하였다.