• Title/Summary/Keyword: Dynamic equilibrium

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Design of the Air Pressure Pick-up Head for Non-Contact Wafer Gripper (비접촉식 웨이퍼 그리퍼용 공압 파지식 헤드 설계)

  • Kim, Joon-Hyun
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.21 no.3
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    • pp.401-407
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    • 2012
  • The recent manufacturing process in the thin wafers and flat panel necessitate new approaches to reduce handling fragile and surface-sensitive damage of components. This paper presents a new pneumatic levitation for non-contact handling of parts and substrates. This levitation can achieve non-contact handling by blowing air into an air pressure pick-up head with radial passages to generate a negative pressure region. Negative pressure is caused by the radial air flow by nozzle throat and through holes connecting to the bottom region. The numerical analysis deals with the levitational motion with different design factors. The dynamic motion is examined in terms of force balance(dynamic equilibrium) occurring to the flow field between two objects. The stable equilibrium position and the safe separation distance are determined by analyzing the local pressure distribution in the fluid motion. They make considerable design factors consisting the air pressure pick-up head. As a result, in case that the safe separation distance is beyond 0.7mm, the proposed pick-up head can levitate stably at the equilibrium position. Furthermore, it can provide little effect of torque, and obtain more wide picking region according to the head size.

Exchange Rate and Interest Rate Dynamics in an Equilibrium Framework

  • Chung S. Young
    • The Korean Journal of Financial Studies
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    • v.6 no.1
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    • pp.335-356
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    • 2000
  • This paper examines the time series dynamics of spot and forward exchange rates and Eurocurrency deposit rates for four bilateral relationships vis a vis the U.S. dollar using daily data. The equilibrium implied by covered interest parity provides a theoretical foundation from which to estimate and analyze the dynamic properties of each system of exchange rates and interest rates. The structural statistical model is identified by relying on the implied cointegration vectors and long-run neutrality restrictions.

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Climate Change and Groundwater Sustainability in Korea for Next Decade (기후변화와 국내 지하수자원의 지속가능성 - 다음 10년을 위해서)

  • Woo, Nam C.
    • Journal of Soil and Groundwater Environment
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    • v.18 no.1
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    • pp.1-5
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    • 2013
  • Global climate changes affect the local hydrologic cycle, and subsequently, require changes in water resource management strategies of Korea. Variations in precipitation and urbanization have adverse effects on the reasonable and efficient utilization of groundwater resources. Groundwater management strategies of Korea have been implemented based on the evaluation of "sustainable yield", which is calculated from the amount of annual recharge. However, this sustainable yield has no consideration of natural discharge and dynamic equilibrium of the groundwater system. Therefore, for the effective groundwater management strategies of the following decades, we need representative and reliable observations, and have to develop methods for the systematic analysis and interpretations of the data to draw valid information in linkage of natural and societal environmental changes.

INERTIAL MIGRATION AND DYNAMICS OF AN ELASTIC CAPSULE IN CHANNEL FLOW (채널 유동 내 유연한 캡슐의 관성 이동과 움직임)

  • Shin, S.J.;Sung, H.J.
    • Journal of computational fluids engineering
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    • v.17 no.2
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    • pp.107-112
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    • 2012
  • We explored the dynamic motions and the lateral equilibrium positions of an elastic capsule in channel flow at moderate Reynolds number varying Re, aspect ratio, size ratio, membrane stretching and bending coefficient. The transition of tank-treading/swinging to tumbling motion was observed in the simulations and the transition of dynamic motions for capsules resulted in different trend of the variation in the lateral equilibrium positions. Though other conditions were similar, the capsule with tumbling motion migrated closer to the wall than that with tank-treading motion.

Stability of five layer sandwich beams - a nonlinear hypothesis

  • Smyczynski, Mikolaj J.;Magnucka-Blandzi, Ewa
    • Steel and Composite Structures
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    • v.28 no.6
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    • pp.671-679
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    • 2018
  • The paper is devoted to the stability analysis of a simply supported five layer sandwich beam. The beam consists of five layers: two metal faces, the metal foam core and two binding layers between faces and the core. The main goal is to elaborate a mathematical and numerical model of this beam. The beam is subjected to an axial compression. The nonlinear hypothesis of deformation of the cross section of the beam is formulated. Based on the Hamilton's principle the system of four stability equations is obtained. This system is approximately solved. Applying the Bubnov-Galerkin's method gives an ordinary differential equation of motion. The equation is then numerically processed. The equilibrium paths for a static and dynamic load are derived and the influence of the binding layers is considered. The main goal of the paper is an analytical description including the influence of binding layers on stability, especially on critical load, static and dynamic paths. Analytical solutions, in particular mathematical model are verified numerically and the results are compared with those obtained in experiments.

Existence of a nash equilibrium to differential games with nonlinear constraints

  • Kim, Yang-Yol
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1989.10a
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    • pp.45-50
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    • 1989
  • The above theorm states that much larger classes of differential games have an equilibrium. The most severe assumption is the second one. It requires that state dynamic equations be linear on his own control variables. But, the dynamic programming approach applied in the above is hardly implementable for the purpose of computation. It is very difficult to solve (SP$_{it}$) directly. Notice, however, the problem can be transformed into a Hamiltonian maximization problem which is easy to solve if initial conditions are given. In this way, it is possible to design a solution algorithm to problems with nonlinear constraints. The above two theorems probide a basis for such an algorithm.m.

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Considering the Concept of Resilience toward Applying to System Dynamics Approach (시스템의 회복성에 대한 이론적 검토와 시스템 다이내믹스 방법론의 적용)

  • Jeon, Dae Uk
    • Korean System Dynamics Review
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    • v.14 no.2
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    • pp.5-30
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    • 2013
  • The concept of resilience in complex and adaptive socio-economic systems, has been a buzz word in international societies and academies related to policy makers for sustainable development since some years ago. This paper deals with an application of the resilient concept, which has been told since the last some decades in the field of ecology and applied system sciences, to social science especially in system dynamics. First the author introduces the concept of equilibrium stability and resilience in simple dynamic models, and moreover provides the behavioral characteristics and examples of system resilience in terms of system dynamics. The concept of resilience in structural perspectives are also discussed with the topics of panarchy and adaptive renewal cycles, etc.

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A Study on the Dynamic Characteristics of Tension Structures according to Initial Tension Forces and Equilibrium Shape (초기인장력과 평형형상을 고려한 인장구조물의 동적 특성에 대한 연구)

  • Chang, Dong Il;Kim, Hak Jae
    • Journal of Korean Society of Steel Construction
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    • v.10 no.1 s.34
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    • pp.73-83
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    • 1998
  • Considering dynamic behaviors according to initial tension forces, geometric nonlinearity and the effect of higher eigen modes to participate in dynamic behaviors increase as initial tension forces decrease, and from phase portrait we can realize that period attractors are produced in many area with complexity. If initial tension forxes increase, difference between linear and nonlinear solutions will decrease and the first eigen mode dominate the dynamic behaviors and observing phase portrait, period attractors appear in certain area regularly. These results may offer meaningful informations to nonlinear dynamic analysis using modal reduction methods such as Lanczos modal analysis. And actually nonlinear dynamic analysis needs very large computational efforts. So, if we determine the number of eigen modes to take part in modal analysis corresponding to initial tension forces we will get more accurate data close to exact nonlinear dynamic solutions.

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Non-Linear dynamic pulse buckling of laminated composite curved panels

  • Keshav, Vasanth;Patel, Shuvendu N.
    • Structural Engineering and Mechanics
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    • v.73 no.2
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    • pp.181-190
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    • 2020
  • In this paper, non-linear dynamic buckling behaviour of laminated composite curved panels subjected to dynamic in-plane axial compressive loads is studied using finite element methods. The work is carried out using the finite element software ABAQUS. The curved panels are modelled with S4R element and the nonlinear dynamic equilibrium equations are solved using the ABAQUS/Explicit algorithm. The effect of aspect ratio, radius of curvature and thickness are studied. The importance of orientation of plies in the direction of loading is also reiterated in this study. Vol'mir's criterion is used to calculate the dynamic buckling loads. The panels are subjected to rectangular pulse load of various amplitude and durations and the responses are observed. For particular loading amplitude, a critical value of loading duration is observed beyond which the variation of dynamic buckling load is insignificant. It is also observed that, the value of dynamic bucking load reduces as the loading duration is increased though the reduction is not much after a particular loading duration.