• Title/Summary/Keyword: integral distribution

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Stress Field and Deformation Energy of Inhomogeneous Preeipitates (비균질성 석출물 의 응력장 과 변형에너지 I)

  • 최병익;엄윤용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.31-39
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    • 1985
  • Using the tensor elastic Green functions an exact integral equation is formulated for two anisotropic precipitates embedded in an infinite anisotropic matrix; the matrix is subjected to an applied strain field or the precipitates undergo a stress-free transformation strain. This equation is reduced to an infinite system of algebraic equations by expanding the strains in Taylor series about the two points within each precipitate, and an approximation of the strain distributions within the two spherical precipitates is obtained by truncating the higher order terms. Since the present method requires no symmetry conditio between the two shperical precipitates, it is possible to obtain the strain distribution within the precipitates when the elastic constants and/or the sizes of the precipitates are different each other. The strains are expanded about arbitrary points, giving more accurate distributions of the strains than those presented elsewhere. The present method can be directly estended to the case of more than two spherical precipitates.

A analysis of Thin-Straight Monopole antenna on a conducting box Using the Wire-Grid Method (Wire-Grid 방법을 이용한 도체 상자에 부착된 선형 모노폴 안테나 해석)

  • 이승엽;김경재;이영훈;허선종;박한규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.11
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    • pp.1669-1676
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    • 1993
  • In this paper, a thin-straight monopole antenna attached to a conducting box is analyzed using a moment method with the pocklington integral expression for the exact Green's function. A modeling of a conducting box is based on a Wire-Grid method for an efficient calculation procedure. A system of linear equation is obtained using the piecewise sinusoidal basis function. And a Junction basis function is enforcing to represent the physical current on the edge of the conducting box. Especially, the junction basis functions are overlapped for the current continuity preserving on the vertexes. Numerical results are obtained for the current distribution on the unified antenna/conducting box system, input impedance and radiation pattern. The results are compared with the known data.

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Numerical Analysis Method for Nodal Probabilistic Production Cost Simulation (각 부하지점별 확률론적 발전비용 산정을 위한 수치해석적 방법)

  • Kim, Hong-Sik;Moon, Seung-Pil;Choi, Jae-Seok;Rho, Dae-Seok
    • Proceedings of the KIEE Conference
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    • 2001.05a
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    • pp.112-115
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    • 2001
  • This paper illustrates a new nodal effective load model for nodal probabilistic production cost simulation of the load point in a composite power system. The new effective load model includes capacities and uncertainties of generators as well as transmission lines. The CMELDC based on the new effective load model at HLII has been developed also. The CMELDC can be obtain from convolution integral processing of the outage capacity probabilistic distribution function of the fictitious generator and the original load duration curve given at the load point. It is expected that the new model for the CMELDC proposed. In this study will provide some solutions to many problems based on nodal and decentralized operation and control of an electric power systems under competition environment in future. The CMELDC based on the new model at HLII will extend the application areas of nodal probabilistic production cost simulation, outage cost assessment and reliability evaluation etc. at load points. The characteristics and effectiveness of this new model are illustrated by a case study of a test system.

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Theoretical Curve of Normalized Site Attenuation for Forced Resonant Type EMI Dipole Antennas (강제 공진형 EMI 다이폴 안테나에 대한 정규화 시험장 감쇠량 이론곡선)

  • 김기채
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.5
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    • pp.467-472
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    • 2004
  • This paper presents the normalized site attenuation characteristics for frequencies below 80 ㎒ using forced resonant type EMI dipole antennas. The coupled integral equations for unknown current distribution are solved by the Galerkin's method of moments with piecewise sinusoidal functions. The results show that the forced resonant type EMI dipole antenna for frequencies below 80 ㎒ can be used effectively for the measuring normalized site attenuation. The calculated normalized site attenuation curves for the forced resonant type EMI dipole antenna are useful in determining the suitability of open area test sites.

Diffusion of Two-Dimensional Surface Discharge of Heated Water in a Recangular Reservoir(l) (2次元 表面 溫排水 의 擴散 (I))

  • 이상준;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.6
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    • pp.536-543
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    • 1984
  • Thermal structure of two-dimensional surface discharge of the heated water into a rectangular resesvoir is investigated by a laboratory simulation with a shallow open channel and a relatively large reservoir. Experimental study is focused on the nature of interfacial mixing between a flowing layer of the hot water and the underlying cold water. For various conditions, mean temperature field, surface velocity distribution and turbulent mixing process have been quantitatively observed. It is found that the Richardson number strongly affects the integral structure of the flow field, and the buoyancy plays a role to control the turbulent diffusion process.

Experimental Study of Boundary Layer Transition on an Airfoil Induced by Periodically Passing Wake (I) -A Time-Averaged Characteristic- (주기적 후류 내의 익형 위 천이경계층에 관한 실험적 연구(I) -시간평균된 유동 특성-)

  • Park, Tae-Chun;Jeon, U-Pyeong;Gang, Sin-Hyeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.6
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    • pp.776-785
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    • 2001
  • Hot-wire measurements are performed in boundary layers developing on a NACA0012 airfoil over which wakes pass periodically. The Reynolds number based on chord length of the airfoil is 2$\times$10(sup)5 and the wakes are generated by circular cylinders rotating clockwise and counterclockwise around the airfoil. This paper and its companion Part II describe the phenomena of wake-induced transition of the boundary layers on the airfoil using measured data; phase-and time-averaged streamwise mean velocities, turbulent fluctuations, integral parameters and wall skin frictions. This paper describes the background and facility together with results of time-averaged quantities. Due to the passing wake with mean velocity defects and high turbulence intensities, the laminar boundary layer is periodically disturbed at the upstream station and becomes steady-state transitional boundary layer at the downstream station. The velocity defect in the passing wake changes the local pressure at the leading of the airfoil, significantly affects the time-mean pressure distribution on the airfoil and eventually, has influence on the transition process of the boundary layer.

Free vibrations of laminated composite plates using a novel four variable refined plate theory

  • Sehoul, Mohammed;Benguediab, Mohamed;Bakora, Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.24 no.5
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    • pp.603-613
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    • 2017
  • In this research, the free vibration response of laminated composite plates is investigated using a novel and simple higher order shear deformation plate theory. The model considers a non-linear distribution of the transverse shear strains, and verifies the zero traction boundary conditions on the surfaces of the plate without introducing shear correction coefficient. The developed kinematic uses undetermined integral terms with only four unknowns. Equations of motion are obtained from the Hamilton's principle and the Navier method is used to determine the closed-form solutions of antisymmetric cross-ply and angle-ply laminates. Numerical examples studied using the present formulation is compared with three-dimensional elasticity solutions and those calculated using the first-order and the other higher-order theories. It can be concluded that the present model is not only accurate but also efficient and simple in studying the free vibration response of laminated composite plates.

A new quasi-3D sinusoidal shear deformation theory for functionally graded plates

  • Benchohra, Mamia;Driz, Hafida;Bakora, Ahmed;Tounsi, Abdelouahed;Adda Bedia, E.A.;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.65 no.1
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    • pp.19-31
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    • 2018
  • In this paper, a new quasi-3D sinusoidal shear deformation theory for functionally graded (FG) plates is proposed. The theory considers both shear deformation and thickness-stretching influences by a trigonometric distribution of all displacements within the thickness, and respects the stress-free boundary conditions on the upper and lower faces of the plate without employing any shear correction coefficient. The advantage of the proposed model is that it posses a smaller number of variables and governing equations than the existing quasi-3D models, but its results compare well with those of 3D and quasi-3D theories. This benefit is due to the use of undetermined integral unknowns in the displacement field of the present theory. By employing the Hamilton principle, equations of motion are obtained in the present formulation. Closed-form solutions for bending and free vibration problems are determined for simply supported plates. Numerical examples are proposed to check the accuracy of the developed theory.

Separation Performance of Zigzag Air Classifier

  • Hirajima, Tsuyoshi;Nishida, Takuji;Toshima, Ryutaro;Kataoka, Kenji;Tsunekawa, Masami;Asakura, Kuniomi
    • Proceedings of the IEEK Conference
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    • 2001.10a
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    • pp.759-764
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    • 2001
  • The separation performance of zigzag air classifier with angle of 90 degrees was studied using narrow size fractions of thin square samples and granular samples. The simulation results of air velocity inside the classifier indicated that the zigzag geometry induces a new pattern consisting of an upward flow and a circulation flow, Experimental results showed that overflow product recovery was described as an integral calculus of normal distribution as a function of dimensionless air velocity ( $V_{A}$ $V_{A50}$), where $V_{A}$ is superficial air velocity and $V_{A50}$ is the $V_{A}$ at the fifty percent recovery. The $V_{A}$ values were predicted using the equations derived from dynamics for a particle dropping in air. A monitoring system that utilizes changes in acoustic signals emitted during the process of air classification was developed to separate PET with desired recovery or grade. The technical feasibility of the on-line monitoring of the PET recovery and grade was demonstrated by measuring relative energy of the signals.signals.als.

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Numerical Simulation of Free Surface Flows Using the Roe's Flux-difference Splitting Scheme (Roe의 Flux-difference Splitting 기법을 이용한 자유표면 유동 모사)

  • Shin, Sang-Mook;Kim, In-Chul;Kim, Yong-Jig
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.1
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    • pp.11-19
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    • 2010
  • A code is developed to simulate incompressible free surface flows using the Roe's flux-difference splitting scheme. An interface of two fluids is considered as a moving contact discontinuity. The continuities of pressure and normal velocity across the interface are enforced by the conservation law in the integral sense. The fluxes are computed using the Roe's flux-difference splitting scheme for two incompressible fluids. The interface can be identified based on the computed density distribution. However, no additional treatment is required along the interface during the whole computations. Complicated time evolution of the interface including topological change can be captured without any difficulties. The developed code is applied to simulate the Rayleigh-Taylor instability of two incompressible fluids in the density ratio of 7.2:1 and the broken dam problem of water-air. The present results are compared with other available results and good agreements are achieved for the both cases.