• Title/Summary/Keyword: unstable equilibrium

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Development of the Training System for Equilibrium Sense Using the Unstable Platform (불안정판을 이용한 평형감각 훈련시스템 개발)

  • Piao, Yong-Jun;Yu, Mi;Kwon, Tae-Kyu;Hong, Chul-Un;Kim, Nam-Gyun
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.8 s.173
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    • pp.192-198
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    • 2005
  • In this paper, we propose a new training system for the improvement of equilibrium sense using unstable platform. The equilibrium sense, which provides orientation with respect to gravity, is important to integrate the vision, somatosensory and vestibular function to maintain the equilibrium sense of the human body. In order to improve the equilibrium sense, we developed the software program such as a block game, pingpong game using Visual C++. These training system for the equilibrium sense consists of unstable platform, computer interface and software program. The unstable platform was a simple structure of elliptical-type which included tilt sensor, wireless RF module and the device of power supply. To evaluate the effect of balance training, we measured and evaluated the parameters as the moving time to the target, duration to maintain cursor in the target of screen and the error between sine curve and acquired data. As a results, the moving time to the target and duration to maintain cursor in the target was improved through the repeating training of equilibrium sense. It was concluded that this system was reliable in the evaluation of equilibrium sense. This system might be applied to clinical use as an effective balance training system.

A Derivation of the Equilibrium Point for a Controller of a Wheeled Inverted Pendulum Running on an Inclined Road (경사면을 주행하는 차륜형 역진자의 평형점 상태에 관한 연구)

  • Lee, Se-Han;Kang, Jae-Gwan
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.1
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    • pp.72-78
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    • 2012
  • In this research an equilibrium point of a Wheeled Inverted Pendulum (WIP) running on an inclined road is derived and validated by some experiments. Generally, The WIP has stable and unstable equilibrium point. Only unstable equilibrium point is interested in the research. To keep the WIP on the unstable equilibrium point, the WIP is consistently controlled. A controller for the WIP needs a reference state for the equilibrium point. The reference state can be obtained by studying an equilibrium point of the WIP. This research is deriving dynamic equations of the WIP running on the inclined road and equilibrium of it based on statics. Several experiments are carried out to show the validation of the equilibrium point.

A Derivation of the Equilibrium Point for a Controller of a Wheeled Inverted Pendulum with Changing Its Center of Gravity (무게중심이 변동되는 차륜형 역진자의 평형점 상태에 관한 연구)

  • Lee, Se-Han
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.5
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    • pp.496-501
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    • 2012
  • An equilibrium point of a WIP (Wheeled Inverted Pendulum) with changing its center of gravity is derived and validated by various numerical simulations. Generally, the WIP has two equilibrium points which are unstable and stable one. The unstable one is interested in this study. To keep the WIP over the unstable equilibrium point, the WIP is consistently being adjusted. A state feedback controller for the WIP needs a control reference for the equilibrium point. The control reference can be obtained by studying an equilibrium point of the WIP based on statics. By using Lagrange method, this study is deriving dynamic equations of the WIP both with and without changing its center of gravity. Various numerical simulations are carried out to show the validation of the equilibrium point.

Energy approach for dynamic buckling of shallow fixed arches under step loading with infinite duration

  • Pi, Yong-Lin;Bradford, Mark Andrew;Qu, Weilian
    • Structural Engineering and Mechanics
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    • v.35 no.5
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    • pp.555-570
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    • 2010
  • Shallow fixed arches have a nonlinear primary equilibrium path with limit points and an unstable postbuckling equilibrium path, and they may also have bifurcation points at which equilibrium bifurcates from the nonlinear primary path to an unstable secondary equilibrium path. When a shallow fixed arch is subjected to a central step load, the load imparts kinetic energy to the arch and causes the arch to oscillate. When the load is sufficiently large, the oscillation of the arch may reach its unstable equilibrium path and the arch experiences an escaping-motion type of dynamic buckling. Nonlinear dynamic buckling of a two degree-of-freedom arch model is used to establish energy criteria for dynamic buckling of the conservative systems that have unstable primary and/or secondary equilibrium paths and then the energy criteria are applied to the dynamic buckling analysis of shallow fixed arches. The energy approach allows the dynamic buckling load to be determined without needing to solve the equations of motion.

Development of a New Training System for the Improvement of Equilibrium Sense

  • Kwon, Tae-Kyu;Park, Yong-Gun;Yu, Mi;Kim, Seong-Hyun;Hong, Chul-Un;Kim, Nam-Gyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.206-210
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    • 2004
  • This paper proposes a new training system for equilibrium sense using unstable platform. This training system for equilibrium sense consists of an unstable platform, a computer interface circuit and software program. Postural instability changes the weighting of different types of sensory information and the state of the equilibrium maintenance system. In order to improve the equilibrium sense, we developed software program such as a block game, sine curve training (SCT) and pingpong game using Visual C++. Using this system and training programs, we performed an experiment to train the equilibrium sense of a subject. To evaluate the effects of balance training, the time maintained on the target and the moving time to the target are measured. As a result, the moving time to the target and time to maintain cursor on the target improved through repeating equilibrium sense training. It was concluded that this system was reliable in the evaluation of equilibrium sense. We expect that this system might be applied to clinical use as an effective balance training system.

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Training of Equilibrium Sense Using Unstable Platform and Force Plate (Force Plate 와 불안정판을 이용한 평형감각 훈련)

  • 박용군;유미;권대규;홍철운;김남균
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.985-988
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    • 2004
  • This paper proposes a new training system for equilibrium sense and postural control using unstable platform and force plate. This system consists of unstable platform, force plate, computer interface, software and the computer. Using this system and training programs, we perform the experiment to train the equilibrium sense and postural control of subject. To evaluate the effects of balance training, we measured some parameters such as the maintaining time in the target, the moving time to the target and the mean absolute deviation of the trace before and after training. The result shows that this system can improve the equilibrium sense and balance ability of subject. This study shows that proposed system had an effect on improving equilibrium sense and postural control and might be applied to clinical rehabilitation training as a new effective balance training system.

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Analysis on the Effect of a Training System for Improving Equilibrium Sense Using an Unstable Platform

  • Piao, Yong-Jun;Yu, Mi;Kim, Yong-Yook;Kwon, Tae-Kyu;Hong, Chul-Un;Kim, Nam-Gyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2455-2458
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    • 2005
  • In this paper, we analyzed the effect of a training system for improving equilibrium sense. This training system consists of an unstable platform, a force plate, a computer, and training programs. Using the system with training programs, we performed various experiments to train the equilibrium sense of fifteen subjects. To evaluate the effect of the training system, we measured the time a subject maintains a focus, the moving time to the target, and the absolute deviation of the trace. We analyzed these parameters obtained before and after the training using paired-samples T-test. The results showed that the subjects experienced a distinctive enhancement of their equilibrium senses through the training using our system.

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Development of a Training System for Equilibrium Sense Using Unstable Platform and Force Plate (불안정판과 힘판을 이용한 평형감각 훈련시스템 개발)

  • Piao, Yong-Jun;Yu, Mi;Kim, Yong-Yook;Kwon, Tae-Kyu;Kim, Nam-Gyun
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.6
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    • pp.121-130
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    • 2007
  • In this paper, we present the development of a new training system for equilibrium sense and postural control. This system consists of an unstable platform, a force plate, a computer, and training programs. The unstable platform provides 360 degrees of movement allowing for training in all directions. To evaluate the effects of the training system, we performed various experiments to train the ability of equilibrium sense and postural control of fifteen young healthy subjects. We measured the time a subject maintains his or her center of pressure on a target, the time a subject moves his or her center of pressure to a target, and the mean absolute deviation of the trace before and after the training. We analyzed these parameters obtained before and after the training using paried-sample T-test. The result shows that the subjects experienced distinctive enhancement in their ability of postural control through the training using our system.

Stability analysis of an uncooled segment of superconductor

  • Seol, S.Y.
    • Progress in Superconductivity and Cryogenics
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    • v.19 no.3
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    • pp.8-12
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    • 2017
  • If the part of the HTS magnet is exposed to the outside of the cryogenic coolant due to the fluctuation of the height of the cooling liquid or the vapor generation, the uncooled part becomes very unstable. In this paper, the unstable equilibrium temperature distribution of the uncooled part of a superconductor is obtained, and the maximum temperature and energy are calculated as a function of the uncooled length. Similar to the superconductor stability problem, the current sharing model was applied to derive the theoretical formula and calculated by numerical integration. We also applied a jump model, which assumes that joule heat is generated in all of the uncooled segment, and compares it with the current sharing model results. As a result of the analysis, the stable equilibrium state and the critical uncooled length in the jump model are not shown in the current sharing model. The stability of the conductors to external disturbances was discussed based on the obtained temperature distribution, maximum temperature, and energy.

Agglomeration (Dis-) Economies and Regional Economic Growth as a Spatial Economy (집적 (불)경제와 공간경제로서의 지역 경제 성장)

  • 김홍배;박재룡
    • Journal of the Korean Regional Science Association
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    • v.13 no.2
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    • pp.45-54
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    • 1997
  • A regional economy is characterized as a spatial economy. However the literature shows that it has been treated as a point economy since space is little recognized in regional modeling due to mathematical complication. This leads to the fact that regional model does not sufficiently represent regional characteristic. This paper attempts to construct a regional growth model in a partial equilibrium framework specifically taking into consideration land as a primary factor. The model is formulated largely neoclassical. Labor is assumed to move in response to differences in the wage rate, while capital is perfectly mobile across regions. The paper shows that two growth equilibrium points exist, one stable equilibrium point and the other unstable equilibrium point. The unstable growth equilibrium indicates the existence of minimum threshold that a region must overcome the minimum threshold to grow constantly. Consequently, directions of regional growth are characterized by two growth paths depending on the initial condition of a region. That is to say, a region below the minimum threshold is converging toward the lower stable equilibrium point over time. When a regional economy initially lies above the minimum threshold, it will grow forever. A regional economy is not thus necessarily converging a stationary is not thus necessarily converging a stationary equilibrium point through factor movement. Finally, the impacts of the presence of agglomeration economies and diseconomies are analyzed through the phase diagram. The paper also shows that agglomeration economies result in lowering the minimum threshold and in escalating the level of stable equilibrium However, when agglomeration diseconomies prevail, the results are opposite, i.e., rising the minimum threshold of growth and lowering the growth level of stable equilibrium.

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