• Title/Summary/Keyword: equilibrium point

Search Result 561, Processing Time 0.021 seconds

Comparison of Implicit Time Integration Schemes for the Analysis of Thermal and Chemical Non-equilibrium Flow (열적, 화학적 비평형 유동해석에서 내재적 시간 적분법의 비교)

  • Lee Chang Ho;Park Seung-O
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1999.11a
    • /
    • pp.42-47
    • /
    • 1999
  • In this study, we adopt the point symmetric Gauss-Seidel relaxation algorithm to obtain the steady state solution of the Navier-Stokes equations for the thermal and chemical nonequilibrium flow of air. All of the inviscid, viscous flux Jacobians and thermochemical source Jacobians are included in the implicit part Numerical simulation is performed for the thermal and chemical nonequilibrium flow over blunt body and computational results are presented. The convergence history and CPU time of the present computation are compared with the LU-SGS scheme which employs the approximate Jacobians.

  • PDF

Stability Evaluation & Determination of Critical Buckling Load for Non-Linear Elastic Composite Column (비선형 탄성 복합재료 기둥의 임계 좌굴하중 계산 및 안정성 평가)

  • 주기호;정재호;강태진
    • Proceedings of the Korean Society For Composite Materials Conference
    • /
    • 2003.04a
    • /
    • pp.215-219
    • /
    • 2003
  • Buckling and post-buckling Analysis of Ludwick type and modified Ludwick type elastic materials was carried out. Because the constitutive equation, or stress-strain relationship is different from that of linear elastic one, a new governing equation was derived and solved by $4^{th}$ order Runge-Kutta method. Considered as a special case of combined loading, the buckling under both point and distributed load was selected and researched. The final solution takes distinguished behavior whether the constitutive relation is chosen to be modified or non-modified Ludwick type as well as linear or non-linear. We also derived strain energy function for non-linear elastic constitutive relationship. By doing so, we calculated the criterion function which estimates the stability of the equilibrium solutions and determines critical buckling load for non-linear cases. We applied this theory to the constitutive relationship of fabric, which also is the non-linear equation between the applied moment and curvature. This results has both technical and mathematical significance.

  • PDF

GLOBAL ROBUST STABILITY OF TIME-DELAY SYSTEMS WITH DISCONTINUOUS ACTIVATION FUNCTIONS UNDER POLYTOPIC PARAMETER UNCERTAINTIES

  • Wang, Zengyun;Huang, Lihong;Zuo, Yi;Zhang, Lingling
    • Bulletin of the Korean Mathematical Society
    • /
    • v.47 no.1
    • /
    • pp.89-102
    • /
    • 2010
  • This paper concerns the problem of global robust stability of a time-delay discontinuous system with a positive-defined connection matrix under polytopic-type uncertainty. In order to give the stability condition, we firstly address the existence of solution and equilibrium point based on the properties of M-matrix, Lyapunov-like approach and the theories of differential equations with discontinuous right-hand side as introduced by Filippov. Second, we give the delay-independent and delay-dependent stability condition in terms of linear matrix inequalities (LMIs), and based on Lyapunov function and the properties of the convex sets. One numerical example demonstrate the validity of the proposed criteria.

Macrobenthic Community Changes in the Saemangeum Subtidal Area (새만금 방조제 외해역의 저서생물 군집 변화)

  • Jung, Ji-Yeon;Kwon, Hyo-Keun;Jang, Jeong-Ryeol;Choi, Kang-Won
    • KCID journal
    • /
    • v.17 no.2
    • /
    • pp.42-48
    • /
    • 2010
  • This study was carried out to investigate the changing of benthic macrobenthos community in Saemangeum subtidal area. The distribution of macrobenthic community is important to assume the benthic environment in study area. Macrobenthic community was investigated three times in 2007 (March, June and September) in the Saemangeum subtidal area. The mean density of macrobenthos was $345{\sim}838ind./m^2$ and the most dominant taxa was benthic polychaete. Opportunistic species such as E.cordatum, T.fragilis, H.filiformis, and Tharyx sp. were shown high appearance rate in study area. The dominance of these opportunistic species suggest that the benthic environment of study area was unstable due to environmental disturbance. But, there are only few point that these species were recorded high densities, and also equilibrium species was dominant, too. It means disturbance and un stability of benthic environment in Seamangeum was not serious yet. so the dynamics and trends of these opportunistic species should be concerned.

  • PDF

GLOBAL ATTRACTIVITY OF THE RECURSIVE SEQUENCE $x_{n+1}\;=\;\frac{{\alpha}\;-\;{\beta}x_{n-\kappa}}{{\gamma}+x_n}$

  • El-Owaidy, H.M.;Ahmed, A.M.;Elsady, Z.
    • Journal of applied mathematics & informatics
    • /
    • v.16 no.1_2
    • /
    • pp.243-249
    • /
    • 2004
  • Our aim in this paper is to investigate the global attractivity of the recursive sequence $x_{n+1}\;=\;\frac{{\alpha}\;-\;{\beta}x_{n-\kappa}}{{\gamma}+x_n}$, where ${\alpha},\;{\beta},\;{\gamma}\;>\;0\;and\;{kappa}\;=\;1,\;2,\;{\ldots}$ We show that the positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.

A Study on the Real Quality and Void Fraction of Subcooled Refrigerant Flow (과냉 비등류의 실제건도와 보이드율에 관한 연구)

  • Kim, J.H.;Kim, C.S.;Kim, K.K.;Oh, C.
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.17 no.2
    • /
    • pp.36-43
    • /
    • 1993
  • Real quality and axial void fraction distribution of subcooled refrigerant flow is very important to predict the heat transfer rate and pressure drop in the design of refrigerating system. In the subcooled boiling region, the liquid bulk temperature is still below the corresponding saturation temperature. But beyond the net vapor generation point, bubble detachment is occured actively from the vapor layer formed on the wall. A reliable method to predict the vapor fraction from the liquid bulk temperature is suggested in this paper. And also the actual quality of the subcooled R-113 flow is calculated in the range of 261-1239kg/$m^2$s mass velocity and 10-30K subcooling.

  • PDF

Sensorless Speed Control of Induction Motor Using Observation Technique (관측기관을 이용한 유도전동기의 센서리스 속도제어)

  • 이충환
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.23 no.1
    • /
    • pp.96-102
    • /
    • 1999
  • Sensorless speed estimation in induction motor systems is one of the most control engineers. Based on the estimated speed the vector control has been applied to the high precision torque control however most speed estimation methods use adaptive scheme so that it takes long time to estimate the speed. Thus the adaptive estimation scheme is not effective to the induction motor which requires short sampling time. In this paper a new linearized equation of induction motor system is proposed and a sensorless speed estimation algorithm based on observation techniques is developed. First the nonlinear induction motor equation is linearized at an equilibrium point. Second a proportional integral(PI) observer is applied to estimate the speed state in the induction motor system. Finally simulation results will assure the effectiveness of the new linearized equation and the sensorless estimation algorithm by using PI observer in the nonlinear induction motor system.

  • PDF

Local Stabilization of Input-Saturated Nonlinear Systems with Time-Delay via Fuzzy Control

  • Shin, Hyun-Seok;Park, Chul-Wan;Kim, Eun-Tai;Park, Min-Kee;Park, Mig-Non
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.2 no.3
    • /
    • pp.231-236
    • /
    • 2002
  • In this paper, we present an analysis and design method fur the control of input-saturated nonlinear systems with the time-delay. The target system is represented by Takagi-Sugeno (T-S) fuzzy model and the parallel distributed compensation (PDC) controller is designed to guarantee the local stability of the equilibrium point. We derive the sufficient condition for the local stability by applying Lyapunov-krasovskii theorem and this condition is converted into the LMI problem.

Classification and applications of tensegrities (텐서그러티 기본유형 분류 및 응용)

  • Choi, Sun-Young;Park, Sun-Woo;Park, Chan-Soo
    • Proceeding of KASS Symposium
    • /
    • 2005.05a
    • /
    • pp.77-82
    • /
    • 2005
  • Tensegrity is a relatively new sructural system (about more than 50 years old) based on the use of continuous tension-discontinuous compression. In spite of the controversial principles to define these systems, several examples of tensegrity prototypes constructed in IEDS(Institute of Environment Structure Design) are presented illustrating the feasibility of tensegrity as a lightweight structure. Of course, a much more detailed structural investigation would be necessary, but at least in order to achieve the intended purpose, it is essential to understand the structural principles and the fundamental forces of tensegrity. Once this point Is established, the characteristics of these structures are described, as well as applying them to architecture. Consequently, in this work, the patterns of basic module as well as fundamental definition are introduced. Then, the application of tensegrity to architecture has also been mentioned.

  • PDF

A Transient Modeling of Temperature Variation in a Melting Furnace of a Pyrolysis Melting Incinerator (열분해 용융소각로 내 용융로에서의 온도변화에 대한 과정론적 모델링)

  • Kim, Bong-Keun;Yang, Won;Yu, Tae-U
    • 한국연소학회:학술대회논문집
    • /
    • 2006.04a
    • /
    • pp.167-171
    • /
    • 2006
  • The previous models for thermal behavior in the melting furnace were deterministic, composed of such a form that if the initial input conditions are determined, the results would have been come out by using the basic heat equilibrium equations. But making the experiment by trusting the analysis results, the melted slag is fortuitously set often, because temperature variation of the melted slag in the reaction process is not point function but path function. So in this study, a transient model was developed and verified by comparing with the experimental results.

  • PDF