• Title/Summary/Keyword: equation-of-state effects

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Use of Chaos in a Lyapunov Dynamic Game

  • J. Skowronski;W. J. Grantham;Lee, B.
    • Journal of Mechanical Science and Technology
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    • v.17 no.11
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    • pp.1714-1724
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    • 2003
  • Feedback strategies of a qualitative competitive game between two players can be designed such as to influence parameters of a mechanical system to induce chaotic behavior. The purpose is to reduce the options and effects of the opponent's strategy. We show it on a case with dynamics specified by a nonautonomous Duffing equation with the players represented by damping and external forcing, respectively. It seems however that the conclusions can be made valid generally.

Surface effects on flutter instability of nanorod under generalized follower force

  • Xiao, Qiu-Xiang;Zou, Jiaqi;Lee, Kang Yong;Li, Xian-Fang
    • Structural Engineering and Mechanics
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    • v.64 no.6
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    • pp.723-730
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    • 2017
  • This paper studies on dynamic and stability behavior of a clamped-elastically restrained nanobeam under the action of a nonconservative force with an emphasis on the influence of surface properties on divergence and flutter instability. Using the Euler-Bernoulli beam theory incorporating surface effects, a governing equation for a clamped-elastically restrained nanobeam is derived according to Hamilton's principle. The characteristic equation is obtained explicitly and the force-frequency interaction curves are displayed to show the influence of the surface effects, spring stiffness of the elastic restraint end on critical loads including divergence and flutter loads. Divergence and flutter instability transition is analyzed. Euler buckling and stability of Beck's column are some special cases of the present at macroscale.

A Study of Thermal Effects for a Half-Circumferential Grooved Journal Bearing (半圓周形 윤활홈을 갖는 저어널 베어링의 熱效果에 관한 연구)

  • Chun, Sang-Myung;Lalas, Demetrius P.
    • Tribology and Lubricants
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    • v.6 no.1
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    • pp.36-51
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    • 1990
  • A parametric study of the thermal effects of a half-circumferential grooved journal bearings under aligned and misaligned conditions has been carried out by solving numerically the coupled Reynolds and energy equation system. Five different sets of boundary conditions for the energy equation have been used which include mixing between recirculating oil and inlet oil and a contraction ratio for the cavitation region. The effects of changes of the inlet oil temperature and pressure, the wall temperature and the L/D ratio have also been examined. For the range of parameters found in internal combustion engines, the mixing effectiveness at the groove and the resulting final mixture temperature have been found to be as important as the wall temperature and the heat transfer rate. The variability of the temperature, though, has been shown to smooth out the peaks of both pressure and friction during misaligned condition Distributions of friction and pressure in the oil are also examined which may be useful in attempts to reduce friction without reducing load. Results for an axial grooved bearing are also presentsed for comparision purpose.

On The Dynamics And The Demagnetization Effect Of The Amplidyne Generator With Auxiliary Feedback Compensating Winding (상태변수에 의한 회전형전자증폭기의 동특성 해석 및 감자작용효과에 관한 연구)

  • Se Hoon Chang
    • 전기의세계
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    • v.21 no.6
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    • pp.9-16
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    • 1972
  • This work intends to study the machine dynamics in the state-space approah and to formulate the operating characteristics of a namplidyne generator, with balanced control field winding and an auxiliary feedback winding for compensating purpose. In the derivation of the dynamic equation, investigations on the demagnetization effects are accentuated, based on the magnetic interlinks between windings of the machine. From the machine dynamic relation obtained, a state-variable representation of the machine dynamics is approached in the first part of this work.

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Modeling for the Natural Vibration Analysis of a Rotating Thick Ring (회전하는 두꺼운 링의 고유진동 해석을 위한 모델링)

  • Kim, Chang-Boo;Kim, Bo-Yeon
    • Proceedings of the KSR Conference
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    • 2007.11a
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    • pp.107-114
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    • 2007
  • In this paper, the equations of motion by which the natural vibration of rotating thick ring can be analyzed accurately are presented. These equations are derived from the theory of finite deformation and the principle of virtual work. The effects of variation in curvature across the ring cross-section can be considered in these equations. The ring models are called as thick ring model and thin ring model respectively as the effects of variation in curvature are considered or neglected. The radial displacement of ring which is rotating at constant angular velocity is determined by a non-linear equation derived from the principle of virtual work. The equations of the in-plane and out-of-plane vibrations at disturbed state are also formulated from the principle of virtual work. They can be expressed as the combination of the radial displacement at the steady state and the disturbed displacements about the steady state. The natural vibrations of rings with different thickness are analyzed by using the presented ring models and 3-dimensional finite element method to verify accuracy of the presented equations of motion. Its results are compared and discussed.

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Helical gear multi-contact tooth mesh load analysis with flexible bearings and shafts

  • Li, Chengwu;He, Yulin;Ning, Xianxiong
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.839-856
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    • 2015
  • A multi-contact tooth meshing model for helical gear pairs considering bearing and shaft deformations is proposed. First, to easily incorporate into the system model, the complicated Harris' bearing force-displacement relationship is simplified applying a linear least square curve fit. Then, effects of shaft and bearing flexibilities on the helical gear meshing behavior are implemented through transformation matrices which contain the helical gear orientation and spatial displacement under loads. Finally, true contact lines between conjugated teeth are approximated applying a modified meshing equation that includes the influence of tooth flank displacement on the tooth contact induced by shaft and bearing displacements. Based on the model, the bearing's force-displacement relation is examined, and the effects of shaft deformation and external load on the multi-contact tooth mesh load distribution are also analyzed. The advantage of this work is, unlike previous works to search true contact lines through time-consuming iterative strategy, to determine true contact lines between conjugated teeth directly with presentation of deformations of bearings and shafts.

The Interaction Potential Functions in an Electrolyte Protein Solution

  • Jee, Nam-Yong;Kim, Jae-Jun
    • Macromolecular Research
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    • v.14 no.6
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    • pp.654-658
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    • 2006
  • Recent developments in equations of state for molecular fluids have demonstrated the feasibility of using the hard-sphere equation to describe the effects of repulsive forces in simple fluids. By including a suitable term for attractive forces, most conveniently a uniform background potential, the properties of bio-macromolecular interaction can be roughly calculated. However, the choice of the potential used in perturbed hard-sphere chain (PHSC) theory for describing the attractions between macromolecules is rather complicated. For hard-sphere chains, the prediction accuracy from each model strongly depends on the choice of potential function.

Partial Miscibility of Polymer Solutions in the Theory of Flory's Equation of State With Specific Interaction (특정상호작용을 갖는 Flory 상태방정식 이론에서의 고분자 용액의 부분혼합도)

  • Hae Young Jung
    • Journal of the Korean Chemical Society
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    • v.36 no.6
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    • pp.941-946
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    • 1992
  • Partial miscibilities of polymer solutions are investigated when the specific interactions between different molecules are added to the theory of Flory's equation of state. Especially, it is shown that the closed loop phase diagram can appear. The general conditions for the partial miscibility are derived and the general effects of several factors to that are investigated.

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Mixing Characteristics of Kerosene-Lox in a Swirl Injector at 100 bar

  • Heo, Junyoung;Kang, Jeongseok;Sung, Hong-Gye
    • International Journal of Aerospace System Engineering
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    • v.3 no.1
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    • pp.30-38
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    • 2016
  • The The turbulent mixing characteristics of Kerosene-LOx in a coaxial swirl injector 100 bar have been numerically investigated. Turbulent model is based on large eddy simulation with real-fluid transport and thermodynamics. The effects of equation of state (EOS), chamber pressure are evaluated in a point of the mixing efficiency and pressure fluctuations. The dominant frequency is same as the hairpin vortex shedding frequency generated by film wave at the LOx post.

Analysis of Gaseous Hydrogen/liquid Oxygen Combustion Processes at Supercritical State (초임계 압력에서 기체수소/액체산소의 연소과정 해석)

  • Kim, Tae-Hoon;Kim, Seong-Ku;Kim, Yong-Mo
    • Journal of ILASS-Korea
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    • v.15 no.4
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    • pp.189-194
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    • 2010
  • This study has been mainly motivated to numerically model the transcritical mixing and reacting flow processes encountered in the liquid propellant rocket engines. In the present approach, turbulence is represented by the extended k-$\varepsilon$ turbulence model. To account for the real fluid effects, the propellant mixture properties are calculated by using SRK (Souve-Redlich-Kwong) equation of state model. In order to realistically represent the turbulence-chemistry interaction in the turbulent non-premixed flames, the flamelet approach based on the real fluid flamelet library has been adopted. Based on numerical results, the detailed discussions are made for the real fluid effects and the precise structure of the transcritical cryogenic liquid nitrogen jet and gaseous hydrogen/liquid oxygen coaxial jet flame.