• 제목/요약/키워드: Chung's equations

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고속 월쉬 변환을 이용한 분포정수계의 해석에 관한 연구 (A Study on Analysis of Distributed Parameter Systems via Fast Walsh Transform)

  • 김태훈;김진태;채영무;이해기;김종부;안두수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.2084-2086
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    • 2001
  • This study uses distributed parameter systems as the spatial discretization technique, modelling in lumped parameter systems, and applies orthogonal transform and the Picard's iteration method to high order partial differential equations and matrix partial differential equations. In exercising optimal control of distributed parameter systems, excellent consequences are found without using the existing decentralized control or hierarchical control method.

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임의의 모양을 갖는 회전형 유전체의 전자파 산란 현상 (Electromagnetic Scattering from arbitrarily shaped dielectric Bodies of Revolution)

  • 신용재;김정기
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(I)
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    • pp.18-21
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    • 1987
  • The problem of electromagnetic scattering from arbitrarily shaped lossy dielectric bodies of revolution is studied. Two coupled vector integral equations are formulated from the potential formulas, the equivalence principle and boundary condition. The unknown surface currents (both electric and magnetic) can be found by the moment method, Galerkins's procedure. After the surface currents are determined, the scattering pattern can be evaluated.

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REPRESENTATION OF THE GENERALIZED FUNCTIONS OF GELFAND AND SHILOV

  • Jae Young Chung;Sung Jin Lee
    • 대한수학회논문집
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    • 제9권3호
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    • pp.607-616
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    • 1994
  • I. M. Gelfand and G. E. Shilov [GS] introduced the Gelfand-Shilov spaces of type S, generalized type S and type W of test functions to investigate the uniqueness of the solutions of the Cauchy problems of partial differential equations. Using the heat kernel method Matsuzawa gave structure theorems for distributions, hyperfunctions and generalized functions in the dual space $(S^s_r)'$ of the Gelfand-Shilov space of type S in [M1, M2 and DM], respectively. Also, we gave structure theorems for ultradistributions, Fourier hyperfunctions in [CK, KCK], respectively.

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기하학적 비선형성을 고려한 종단 질량을 갖는 회전하는 외팔보의 모달 분석 (Modal Analysis for the Rotating Cantilever Beam with a Tip Mass Considering the Geometric Nonlinearity)

  • 김형래;정진태
    • 한국소음진동공학회논문집
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    • 제26권3호
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    • pp.281-289
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    • 2016
  • In this paper, a new dynamic model for modal analysis of a rotating cantilever beam with a tip-mass is developed. The nonlinear strain such as von Karman type and the corresponding linearized stress are used to consider the geometric nonlinearity, and Euler-Bernoulli beam theory is applied in the present model. The nonlinear equations of motion and the associated boundary conditions which include the inertia of the tip-mass are derived through Hamilton's principle. In order to investigate modal characteristics of the present model, the linearized equations of motion in the neighborhood of the equilibrium position are obtained by using perturbation technique to the nonlinear equations. Since the effect of the tip-mass is considered to the boundary condition of the flexible beam, weak forms are used to discretize the linearized equations. Compared with equations related to stiffening effect due to centrifugal force of the present and the previous model, the present model predicts the dynamic characteristic more precisely than the another model. As a result, the difference of natural frequencies loci between two models become larger as the rotating speed increases. In addition, we observed that the mode veering phenomenon occurs at the certain rotating speed.

2-유체 모델의 고유치에 근거한 기포류에서의 계면압력도약항 (Mechanistic Pressure Jump Terms based on the System Eigenvalues of Two-Fluid Model for Bubbly Flow)

  • 정문선;이원재;이성재;송철화;하귀석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.81-86
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    • 2001
  • Interfacial pressure jump terms based on the physics of phasic interface and bubble dynamics are introduced into the momentum equations of the two-fluid model for bubbly flow. The pressure discontinuity across the phasic interface due to the surface tension force is expressed as the function of fluid bulk moduli and bubble radius. The consequence is that we obtain from the system of equations the real eigenvalues representing the void-fraction propagation speed and the pressure wave speed in terms of the bubble diameter. Inversely, we obtain an analytic closure relation for the radius of bubbles in the bubbly flow by using the kinematic wave speed given empirically in the literature. It is remarkable to see that the present mechanistic model using this practical bubble radius can indeed represent both the mathematical well-posedness and the physical wave speeds in the bubbly flow.

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자동볼평형장치가 부착된 광디스크 드라이브의 동특성해석 (Dynamic Analysis of an Optical Disk Drive with an Automatic Ball Balancer)

  • 김강성;정진태
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2511-2518
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    • 2002
  • Dynamic behaviors and stability of an optical disk drive coupled with an automatic ball balancer (ABB) are analyzed by a theoretical approach. The feeding system is modeled a rigid body with six degree-of-freedom. Using Lagrange's equation, we derive the nonlinear equations of motion for a non -autonomous system with respect to the rectangular coordinate. To investigate the dynamic stability of the system in the neighborhood of the equilibrium positions, the monodromy matrix technique is applied to the perturbed equations. On the other hand, time responses are computed by the Runge -Kutta method. We also investigate the effects of the damping coefficient and the position of ABB on the dynamic behaviors of the system.

마그네슘 합금 구성식을 이용한 스프링백 예측 (Prediction of Springback by Using Constitutive Equations of Mg Alloy Sheets)

  • 이명규;정관수;김성준;김헌영
    • 소성∙가공
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    • 제17권2호
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    • pp.97-101
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    • 2008
  • Unique constitutive behavior of magnesium alloys as one of hexagonal close packed(hcp) metals has been implemented into the commercial finite element program ABAQUS. The constitutive equations can represent asymmetry in tension-compression yield stresses and flow curves. For the verification purpose, the springback of AZ31B magnesium alloy sheet was measured using the unconstrained cylindrical bending test proposed in Numisheet'2002 benchmark committee. Besides the developed constitutive models, the isotropic models based on tensile and compressive properties were also considered for comparison purpose. The predicted results by the finite element analysis and corresponding experiments showed enhanced prediction capability in springback analysis.

축정렬불량이 있는 회전디스크의 시간응답해석 (Time Response Analysis for a Spinning Disk with Misalignment)

  • 허진욱;정진태
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.482-487
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    • 2001
  • Time responses of a flexible spinning disk of which axis of symmetry is misaligned with the axis of rotation are analyzed in a numerical manner. Equations of motions are derived by Hamilton's principle based on Kirchhoff plate theory and von-Karman strain theory, and the equations are discretized by finite element method. In obtaining the time responses, Generalized-$\alpha$ method is used to solve the equations. Based on the result, the effects of the misalignment are analyzed on the vibration characteristics of a spinning disk.

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