• Title/Summary/Keyword: asymptotic property

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Study on the Similarity of Flows in an Orthogonally Rotating Square Duct and a Stationary Curved Square Duct (수직축을 중심으로 회전하는 직관과 정지한 곡관내의 유동 유사성에 관한 연구)

  • Lee, Gong-Hee;Baek, Je-Hyun
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.825-830
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    • 2001
  • A numerical study on a quantitative analogy of the fully developed flow between in a straight square duct rotating about an axis perpendicular to that of the duct and a stationary curved duct of square cross-section is carried out. In order to clarify the similarity of two turbulent flows, the dimensionless parameters $K_{TR} = Re^{1/4}/\sqrt{Ro}$ and the Rossby number, Ro, in a rotating straight duct flow were used as a set corresponding to $K_{TC} = Re^{1/4}/\sqrt{{\lambda}}$ and curvature ratio, ${\lambda}$, in a stationary curved duct flow so that they have the same dynamical meaning as $K_{LR} = Re/\sqrt{Ro}$ and $K_{LC} = Re/\sqrt{{\lambda}}$ of the fully developed laminar flows. For the large values of Ro or A, it is shown that the flow field satisfies the asymptotic invariance property: there are strong quantitative similarities between the two flows such as flow patterns and friction factors for the same values of $K_L$ and $K_T$.

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A Numerical Study on the Similarity of Laminar Flows in Orthogonally Rotating Rectangular Ducts and Stationary Curved Rectangular Ducts of Arbitrary Aspect Ratio (임의의 종횡비를 가지는 수직축을 중심으로 회전하는 직관과 정지한 고고간 내부의 층류 유동의 유사성에 관한 수치적 연구)

  • Lee, Gong-Hee;Baek, Je-Hyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.6
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    • pp.842-849
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    • 2002
  • The present study showed that a quantitative analogy of the fully developed laminar flows inorthogonally rotating rectangular ducts and stationary curved rectangular ducts of arbitrary aspect ratio could be established. In order to clarify the similarity of the two flows, the dimensionless parameters $K_{LR}$ =Re/√Ro and Rossby number Ro= $w_{m}$/$\Omega$d in a rotating strait duct were used as a set corresponding to Dean number $K_{LC}$ =Re/√λand curvature ratio λ=R/d in a stationary curved duct. Under the condition that the value of Rossby number and curvature ratio was large enough, the flow field satisfied the ‘asymptotic invariance property’: there were strong quantitative similarities between the two flows such as friction factors, flow patterns, and maximum axial velocity magnitudes for the same values of $K_{LR}$ and $K_{LC}$ .

A Numerical Study on the Similarity of the Developing Laminar Flows between in Orthogonally Rotating Square Duct and Stationary Curved Square Duct (수직축을 중심으로 회전하는 직관과 정지한 곡관 내부의 발달하는 층류 유동의 유사성에 관한 수치적 연구)

  • Lee G. H.;Baek J. H.
    • Journal of computational fluids engineering
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    • v.6 no.1
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    • pp.21-30
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    • 2001
  • A numerical study on the similarity of the developing laminar flows between in a straight duct rotating about an axis perpendicular to that of the duct and in a stationary curved duct was carried out. In order to clarify the analogy of two flows, dimensionless parameters K/sub LR/ = Re/(equation omitted) and Rossby number, Ro, in a rotating straight duct were used as a set corresponding to Dean number K/sub LC/ = Re/(equation omitted), and curvature ratio, λ, in a stationary curved duct. For the large values of Ro and λ, it is shown that the flow field satisfies the 'asymptotic invariance property', that is, there are strong quantitative similarities between the two flows such as flow patterns, friction factors, and maximum axial velocity magnitudes for the same values of K/sub LR/ and K/sub LC/ if they are correlated with dimensionless axial distances Z/sub R/ = z/(equation omitted) for a rotating duct flow and Z/sub C/ = z/(equation omitted) for a stationary curved duct flow.

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Control of Inverted Pendulum Using Continuous Time Deadbeat Control

  • Lee, Ho-Jin;Kim, Seung-Youal;Lee, Jung-Kook;Kim, Jin-Yong;Lee, Seung-Hwan;Lee, Keum-Won;Lee, Jun-Mo
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.510-513
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    • 2005
  • Due to the asymptotic property, deadbeat control can hardly be applied to the continuous time system control. But some delay element method can deal such a problem. Besides delay element method, well-known digital deadbeat control can be used by the aid of some smoothing elements. In this paper, 2nd order smoothing element is used for the smoothing of the digital deadbeat controller. And this element is argumented to the plant, and so control problem is to control the argumented system digitally. We simulated this control system using Matlab language and finally apply this algorithm to the rotary inverted pendulum system.

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Tunable Q-factor 2-D Discrete Wavelet Transformation Filter Design And Performance Analysis (Q인자 조절 가능 2차원 이산 웨이브렛 변환 필터의 설계와 성능분석)

  • Shin, Jonghong
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.11 no.1
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    • pp.171-182
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    • 2015
  • The general wavelet transform has profitable property in non-stationary signal analysis specially. The tunable Q-factor wavelet transform is a fully-discrete wavelet transform for which the Q-factor Q and the asymptotic redundancy r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to match the oscillatory behavior of the signal of interest, so as to enhance the sparsity of a sparse signal representation. The TQWT is well suited to fast algorithms for sparsity-based inverse problems because it is a Parseval frame, easily invertible, and can be efficiently implemented. The transform is based on a real valued scaling factor and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. The transform is parameterized by its Q-factor and its over-sampling rate, with modest over-sampling rates being sufficient for the analysis/synthesis functions to be well localized. This paper describes filter design of 2D discrete-time wavelet transform for which the Q-factor is easily specified. With the advantage of this transform, perfect reconstruction filter design and implementation for performance improvement are focused in this paper. Hence, the 2D transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. Therefore, application for performance improvement in multimedia communication field was evaluated.

Study on the Similarity of Laminar Flows between in Orthogonally Rotating Square Duct and Stationary Curved Squared Duct (수직축을 중심으로 회전하는 직관과 정지한 곡관내에서의 층류 유동의 유사성 비교)

  • Lee, Gong-Hui;Baek, Je-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.12
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    • pp.1683-1691
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    • 2000
  • In this study, it is numerically revealed that the secondary flow due to the Coriolls force in a straight duct rotating about an axis perpendicular to that of the duct is analogous to that caused by the centrifugal force in a stationary curved duct. Dimensionless parameters $K_{LR}=Re/\sqrt{Ro}$ and Rossby number in a rotating straight duct were used as a set corresponding to Dean number and curvature ratio in a stationary curved duct. When the value of Rossby number and curvature ratio is large, it is shown that the flow field satisfies the `asymptotic invariance property`, that is, there are strong quantitative similarities between the two flows such as friction factors, flow patterns, and maximum axial velocity magnitudes for the same values of $K_{LR}$ and Dean number.

Numerical Study on the Similarity between the Fully Developed Turbulent Flow in an Orthogonally Rotating Square Duct and that in a Stationary Curved Square Duct (수직축을 중심으로 회전하는 직관과 정지한 곡관 내에서의 완전 발달된 난류 유동의 유사성에 관한 수치적 연구)

  • Lee, Gong-Hui;Baek, Je-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.5
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    • pp.731-740
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    • 2001
  • A numerical study on the quantitative analogy between the fully developed turbulent flow in a straight square duct rotating about an axis perpendicular to that of the duct and that in a stationary curved duct of square cross-section is carried out. In order to clarify the similarity of the two flows, dimensionless parameters K(sub)TR=Re(sup)1/4/√Ro and Rossby number, Ro, in a rotating straight duct flow were used as a set corresponding to K(sub)TC=Re(sup)1/4/√λ and curvature ratio, λ, in a stationary curved duct flow so that they have the same dynamical meaning as those of the fully developed laminar flows. For the large values of Ro or λ, it is shown that the flow field satisfies the asymptotic invariance property, that is, there are strong quantitative similarities between the two flows such as flow patterns and friction factors for the same values of K(sub)TR and K(sub)TC.

A Study on The Adaptive Robust Servocontroller (견실한 서보적응제어기에 관한 연구)

  • 김종원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.513-525
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    • 1990
  • This paper presents Adaptive Robust Servocontrol(ARSC) scheme, which is an explicit(or indirect) pole-assignment adaptive algorithm with the property of "robustness". It guarantees asymptotic regulation and tracking in the presence of finite parameter perturbations of the unknown plant(or process) model. The controller structure is obtained by transforming a robust control theory into an adaptive control version. This controller structure is combined with the model estimation algorithm which includes a dead-zone for bounded noise. It is proved theoretically that this combination of control and identification is globally convergent and stable. It is also shown, through a real-time simulation study, that the desired closed-loop poles of the augmented system can be assigned directly, and that the adjustment mechanism of the scheme tunes the controller parameters according to the assigned closed-loop poles.oop poles.

Review of Classification Models for Reliability Distributions from the Perspective of Practical Implementation (실무적 적용 관점에서 신뢰성 분포의 유형화 모형의 고찰)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.13 no.1
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    • pp.195-202
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    • 2011
  • The study interprets each of three classification models based on Bath-Tub Failure Rate (BTFR), Extreme Value Distribution (EVD) and Conjugate Bayesian Distribution (CBD). The classification model based on BTFR is analyzed by three failure patterns of decreasing, constant, or increasing which utilize systematic management strategies for reliability of time. Distribution model based on BTFR is identified using individual factors for each of three corresponding cases. First, in case of using shape parameter, the distribution based on BTFR is analyzed with a factor of component or part number. In case of using scale parameter, the distribution model based on BTFR is analyzed with a factor of time precision. Meanwhile, in case of using location parameter, the distribution model based on BTFR is analyzed with a factor of guarantee time. The classification model based on EVD is assorted into long-tailed distribution, medium-tailed distribution, and short-tailed distribution by the length of right-tail in distribution, and depended on asymptotic reliability property which signifies skewness and kurtosis of distribution curve. Furthermore, the classification model based on CBD is relied upon conjugate distribution relations between prior function, likelihood function and posterior function for dimension reduction and easy tractability under the occasion of Bayesian posterior updating.

Control of Inverted Pendulum Using Continuous Time Deadbeat Control (연속계 Deadbeat 제어를 적용한 도립진자 제어)

  • Kim, Seung-Youal;Lee, Keum-Won
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.6
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    • pp.108-113
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    • 2004
  • Due to the asymptotic Property, deadbeat control can hardly be applied to the continuous time system control. But some delay element method can deal such a problem. Besides delay element nan well-known digital deadbeat control can be used by the aid of some smoothing elements. in this paper, 2nd order smoothing element is used for the smoothing or the digital deadbeat controller. And this element is argumented to the plant and so control problem is to control digitally the argumented system. We simulated this control system using Matlab language and finally apply this algorithm to the rotary inverted pendulum system.