• Title/Summary/Keyword: equilibrium analysis

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Dynamic Analysis of a Pendulum Automatic Dynamic Balancer (펜들럼 자동 평형 장치의 동특성 해석)

  • Lee, Jin-Woo;Sohn, Jin-Seung;Joseph Cho;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.396.2-396
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    • 2002
  • Dynamic stability and behavior are analyzed fur Pendulum Automatic Dynamic Balancer which is a device to reduce an unbalanced mass of rotors. The nonlinear equations of motion for a system including a Pendulum Balancer are derived with respect to polar coordinate by Lagrange's equations. The perturbation method is applied to find the equilibrium positions and to obtain the linear variation equations. Based on linearized equations, the dynamic stability of the system around the equilibrium positions is investigated by the eigenvalue problem. (omitted)

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A Galerkin Layerwise Formulation for three-dimensional stress analysis in long sandwich plates

  • Ahmadi, Isa
    • Steel and Composite Structures
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    • v.24 no.5
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    • pp.523-536
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    • 2017
  • A layerwise (LW) formulation based on the Galerkin method is presented to investigate the three-dimensional stress state in long sandwich plate which is subjected to tension force and pure bending moment. Based on the Galerkin method and the LW discretization approach, the equilibrium equations of elasticity for the long plate are written in the weak form and discretized through the thickness of the plate. The discretized equations are written in terms of displacement components of the numerical layers. The governing equations of the plate are solved analytically for the free edge boundary conditions. The distribution of stress state especially the 3D stress state in the vicinity of the edges of the sandwich plate which is subjected to tension and pure bending is studied. In order to increase the accuracy, the out of plane stresses are obtained by integrating the equilibrium equations of elasticity. The convergence and accuracy of the predictions are studied and various numerical results are presented for distribution of the in-plane and out of plane stresses in symmetric and un-symmetric sandwich plates.

Effect of Batch Melting Temperature and Raw Material on Iron Redox State in Sodium Silicate Glasses

  • Mirhadi, Bahman;Mehdikhani, Behzad
    • Journal of the Korean Ceramic Society
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    • v.48 no.2
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    • pp.117-120
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    • 2011
  • In this study, the redox state of iron in sodium silicate glasses was varied by changing the melting conditions, such as the melting temperature and particle size of iron oxide. The oxidation states of the iron ion were determined by wet chemical analysis and UV-Vis spectroscopy methods. Iron commonly exists as an equilibrium mixture of ferrous ions, $Fe^{2+}$, and ferric ions $Fe^{3+}$. In this study, sodium silicate glasses containing nanoparticles of iron oxide (0.5% mol) were prepared at various temperatures. Increase of temperature led to the transformation of ferric ions to ferrous ions, and the intensity of the ferrous peak in 1050 nm increased. Nanoparticle iron oxide caused fewer ferrous ions to be formed and the $\frac{Fe^{2+}}{Fe^{3+}}$ equilibrium ratio compared to that with micro-oxide iron powder was lower.

Slope Stability Analysis Considering Seepage Conditions by FEM Using Strength Reduction Technique (강도 감소법에 의한 지하수위를 고려한 FEM 사면안정해석)

  • 김영민
    • Journal of the Korean Geotechnical Society
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    • v.20 no.8
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    • pp.97-102
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    • 2004
  • In this paper, a finite element based method far determining factor of safety of slopes which has certain advantages over conventional limit equilibrium methods is described. Particularly, the slope failure behaviour considering different seepage conditions is produced by finite element method using strength reduction technique. It is shown that both the failure mechanism and the safety factor that are analyzed by the FEM using strength reduction technique are an effective means of slope stability analysis. And the stability of a slope with rising water table and rapid drawdown are analyzed and the results are compared with the simplified Bishop Method of the Limit Equilibrium Methods.

Analysis of Heat Transfer Characteristics in the Thermally Developing Region of a Porous Channel by LTNE Model (LTNE 모델을 이용한 다공성 채널 입구영역에서의 열전달 특성 해석)

  • Lee, Sang-Tae;Lee, Kwan-Soo;Kim, Seo-Young
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.7
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    • pp.983-990
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    • 2002
  • A numerical analysis has been carried out on forced convection heat transfer in the developing region of a porous channel. The channel is filled with an isotropic porous medium. At the channel walls, a uniform heat flux is given. Comprehensive numerical solutions are acquired to the Brinkman-Forchheimer extended Darcy equation and the LTNE model which does not employ the assumption of local thermal equilibrium between solid and fluid phases. Details of thermal fields in the developing region are examined over wide ranges of the thermal parameters. The numerical solutions at the fully developed region are compared with the previous analytical solutions. The correlation for predicting local Nusselt number in a porous channel is proposed.

Desorption EMC Models for Rapeseed (유채씨의 방습 평형함수율)

  • Kim, You-Ho;Han, Jea-Woong;Keum, Dong-Hyuk
    • Journal of Biosystems Engineering
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    • v.32 no.6
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    • pp.403-407
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    • 2007
  • This study was performed to determine desorption equilibrium moisture contents(EMC) of rapeseed grown in Korea. EMC values were measured by static method using saturated salt solutions at three temperature levels of 30, 40 and $50^{\circ}C$, and eight relative humidity levels in the range from 11.0 to 83.6%. The measured EMC values were fitted to Chung-Pfost, Modified Halsey, Modified Henderson and Modified Oswin models by using nonlinear regression analysis. The results of root mean square errors for four models showed that Halsey and Modified Oswin Models could serve as good models, but the Chung-Pfost and Modified Henderson models could not show reasonably good fitting.

Simulation of Miniaturized n-MOSFET based Non-Isothermal Non-Equilibrium Transport Model (디바이스 시뮬레이션 기술을 이용한 미세 n-MOSFET의 비등온 비형형장에 있어서의 특성해석)

  • Choi, Won-Cheol
    • Journal of the Korean Society of Industry Convergence
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    • v.4 no.3
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    • pp.329-337
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    • 2001
  • This simulator is developed for the analysis of a MOSFET based on Thermally Coupled Energy Transport Model(TCETM). The simulator has the ability to calculate not only stationary characteristics but also non - stationary characteristics of a MOSFET. It solves basic semiconductor devices equations including Possion equation, current continuity equations for electrons and holes, energy balance equation for electrons and heat flow equation, using finite difference method. The conventional semiconductor device simulation technique, based on the Drift-Diffusion Model (DDM), neglects the thermal and other energy-related properties of a miniaturized device. I, therefore, developed a simulator based on the Thermally Coupled Energy Transport Model (TCETM) which treats not only steady-state but also transient phenomena of such a small-size MOSFET. In particular, the present paper investigates the breakdown characteristics in transient conditions. As a result, we found that the breakdown voltage has been largely underestimated by the DDM in transient conditions.

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An Analysis on Volumetric Displacement of Hydraulic Gerotor Motor (제로터 유압 모터의 용량에 관한 연구)

  • Kim, D.M.;Ham, Y.B.;Kim, S.D.
    • 유공압시스템학회:학술대회논문집
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    • 2010.06a
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    • pp.39-43
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    • 2010
  • It is hard and complex to analytically derive a volumetric displacement formula of a gerotor hydraulic motor because geometric shape of its rotors is complicate. An analytical method about the volumetric displacement is proposed in this work, which is relatively easy and based upon two physical concepts. The first one is energy conservation between hydraulic input energy of the motor and mechanical output energy. The second concept is torque equilibrium with respect to inner and outer rotors. The proposed formula about the volumetric displacement is verified by comparing an analytical displacement and a numerical displacement for an example specification of the motor. The numerical displacement is calculated through a kind of CAD technology. The analytical formula can be utilized in analysis and design of hydraulic gerotor motors.

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A study on the physical behavior of arc plasmas in transferred-type Torch (이행형 토치에서의 아크 플라즈마의 물리적 거동에 관한 연구)

  • 김외동;고광철;강형부
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.3
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    • pp.415-425
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    • 1996
  • This study presents an analytical method of solving the behaviors of arc plasma in a nozzle constricting transferred-type torch and purposes to obtain the basic data for the design of a plasma torch, which can be obtained from the temperature, pressure, velocities and voltage distributions. We have to solve some conservation equations simultaneously and need to know the exact thermal gas properties in order to obtain the correct behaviors of arc plasma. It is also necessary to give the relevant physical or geometric boundary conditions. For the simplicity of analysis, we assumed that (a) the plasma flow is laminar, (b)the local thermodynamic equilibrium, i.e. LTE, prevails over the entire arc column region. The electrode sheath effects were neglected and the nozzle area was excluded from the analysis by assuming that the current flow into the nozzle is zero. We solved the momentum transfer equation including the self-magnetic pinch effect, and obtained the temperature distribution from the energy conservation equation. From this temperature, we could get arc voltage distribution. (author). refs., figs., tabs.

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Analysis on Market Power in Power Transaction with Transmission Constraints (송전선 제약조건에 따른 전력거래에서의 시장지배력 연구)

  • Lee, Gwang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.8
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    • pp.403-408
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    • 2002
  • As the electricity industry undergoes a process of fundamental restructuring, horizontal market power appears as a potential obstacle to a fully competitive wholesale electricity market. Market power is the ability profitably to maintain prices above competitive levels by restricting output below competitive levels. In models for imperfect competition under the consideration of the transmission constraints, the Nash equilibrium has the form of a mixed strategy. In this paper, the models for analyzing imperfect competition are compared using the solution of pure and mixed equilibria. The relation between market power and the capacity of a transmission line is investigated by imperfect competition analysis methods: Cournot, Bertrand, and Supply Curve model.