• 제목/요약/키워드: Polynomial Method

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청과물상자의 통기공 및 상자적재방법이 정압강하에 미치는 영향 (The Effect of Air Vent Holes and Stacking Methods of Fruits and Vegetables Boxes on Static Pressure Drop in Pressure Cooling System)

  • 김의웅;김병삼;남궁배;정진웅;김동철;금동혁
    • Journal of Biosystems Engineering
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    • 제20권4호
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    • pp.360-367
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    • 1995
  • The effect of air vent holes, stacking methods of boxes and clearance between boxes on static pressure drop, were measured to design of pressure cooling system. Static pressure drops in air vent hole of carton box were measured for different hole opening ratio from 1% to 5%. Static pressure drop was expressed as a function of superficial velocity as second-degree polynomial. At given static pressure in plenum chamber, static pressure drop in boxes was shown as second-degree polynomial of the number of carton box in series stacking method, as first-degree polynomial in height and parallel stacking method. In pressure cooling of 24 boxes of Tsugaru apple, air flow rates through clearance between the boxes were shown 1.27 and 1.65 times than those of through the inside of boxes at the plenum pressure of 10mmAq and 20mmAq, respectively.

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NUMERICAL EXPERIMENTS OF THE LEGENDRE POLYNOMIAL BY GENERALIZED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING THE LAPLACE EQUATION

  • Amoupour, Ebrahim;Toroqi, Elyas Arsanjani;Najafi, Hashem Saberi
    • 대한수학회논문집
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    • 제33권2호
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    • pp.639-650
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    • 2018
  • Finding a solution for the Legendre equation is difficult. Especially if it is as a part of the Laplace equation solving in the electric fields. In this paper, first a problem of the generalized differential transform method (GDTM) is solved by the Sturm-Liouville equation, then the Legendre equation is solved by using it. To continue, the approximate solution is compared with the nth-degree Legendre polynomial for obtaining the inner and outer potential of a sphere. This approximate is more accurate than the previous solutions, and is closer to an ideal potential in the intervals.

To Determine the Characteristic Polynomial Coefficients Based On the Transient Response

  • Haeri, Mohammad;Tavazoei, Mohammad Saleh
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.11-15
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    • 2005
  • This paper presents a method to determine the characteristic polynomial of a closed loop all-pole system in order to obtain desired transient response in terms of the overshoot and speed (rising/settling time). The method adjusts the overshoot by doing some changes in the characteristic ratios of the Bessel-Thompson filter. The closed loop speediness is then tuned by suitable choice of the generalized time constant. Simulation results are presented to evaluate the achievements and make comparison with those of a similar method.

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다항식회귀곡선을 통한 임펠러의 역공학 적용에 관한 연구 (A Study on the Application of Reverse Engineering for Impeller using Polynomial Regression)

  • 황종대;정종윤;정윤교
    • 한국공작기계학회논문집
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    • 제13권5호
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    • pp.103-109
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    • 2004
  • This paper presents a fairing method for reverse engineering of a free-formed surface. Utilizing measured data points, reverse engineering is a useful method to construct a CAD model from physical model. Measured data points should be faired since raw data may have outliers. A fairing algorithm of polynomial regression model generates smooth curves of approximation in this paper. The faired curves are utilized to construct a free-formed surface. For a verifying example, an impeller blade is digitized with a CMM to collect raw data on the surfacce and a CAD model is constructed. This research produces impeller blades with 5-axis machining center through the CAD model and compares them with a physical model. As a result the produced surface modeled with the fairing method gives less error than that without the fairing.

구조-음향 연성평판의 자유진동해석 (A Free Vibration Analysis of Sound-Structure Interaction Plate)

  • 이동익;오재응
    • 대한기계학회논문집A
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    • 제20권8호
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    • pp.2546-2554
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    • 1996
  • In order to investigate the characteristics of sound-structure interaction problems, we modeled a rectangular cavity and the flexible wall of the cavity. Because the governing equations of motion are coupled through velocity terms, we could redefine them using the velocity potential. We calculated the natural frequencies of plate using orthogonal polynomial functions which satisfy the boundary conditions in the Rayleigh-Ritz Method. As the result, comparisons of theory and experiment show good agreement. and using orthogonal polynomial functions which satisfy the boundary conditions in the Rayleigh-Ritz method show useful method for sound-structure interaction problems too.

입력제한을 고려한 이동로봇의 다항 퍼지모델링 및 궤적추적제어 (Polynomial Fuzzy Modelling and Trajectory Tracking Control of Wheeled Mobile Robots with Input Constraint)

  • 김철중;좌동경;오성근;홍석교
    • 전기학회논문지
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    • 제58권9호
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    • pp.1827-1833
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    • 2009
  • This paper deals with the trajectory tracking control of wheeled mobile robots with input constraint. The proposed method converts the trajectory tracking problem to the system stability problem using the control inputs composed of feedforward and feedback terms, and then, by using Taylor series, nonlinear terms in origin system are transformed into polynomial equations. The composed system model can make it possible to obtain the control inputs using numerical tool named as SOSTOOL. From the simulation results, the mobile robot can track the reference trajectory well and can have faster convergence rate of the trajectory errors than the existing nonlinear control method. By using the proposed method, we can easily obtain the control input for nonlinear systems with input constraint.

Anti-Sway Control of the Overhead Crane System using HOSM Observer

  • Kwon, Dongwoo;Eom, Myunghwan;Chwa, Dongkyoung
    • Journal of Electrical Engineering and Technology
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    • 제11권4호
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    • pp.1027-1034
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    • 2016
  • This paper proposes a sum of squares (SOS) method for anti-swing control of overhead crane system using HOSM (High-Order Sliding-Mode) observer. By representing the dynamic equations of overhead crane as the polynomial dynamic equations via Taylor series expansion, the control input is obtained from the converted polynomial dynamic equations by numerical tool SOSTOOL. Since the actual crane systems include disturbance such as wind and friction, we propose a method to compensate for the disturbance by estimating the disturbance using HOSM observer. Numerical simulations show the effectiveness and the applicability of the proposed method.

적응적 영역분할법을 이용한 임의의 점군으로부터의 형상 재구성 (Shape Reconstruction from Unorganized Cloud of Points using Adaptive Domain Decomposition Method)

  • 유동진
    • 한국정밀공학회지
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    • 제23권8호
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    • pp.89-99
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    • 2006
  • In this paper a new shape reconstruction method that allows us to construct surface models from very large sets of points is presented. In this method the global domain of interest is divided into smaller domains where the problem can be solved locally. These local solutions of subdivided domains are blended together according to weighting coefficients to obtain a global solution using partition of unity function. The suggested approach gives us considerable flexibility in the choice of local shape functions which depend on the local shape complexity and desired accuracy. At each domain, a quadratic polynomial function is created that fits the points in the domain. If the approximation is not accurate enough, other higher order functions including cubic polynomial function and RBF(Radial Basis Function) are used. This adaptive selection of local shape functions offers robust and efficient solution to a great variety of shape reconstruction problems.

다항식 모델을 이용한 음료 판매 데이터 분석 및 예측 (Beverage Sales Data Analysis and Prediction using Polynomial Models)

  • 이민구;박용국;정경권
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2014년도 추계학술대회
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    • pp.701-704
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    • 2014
  • 본 논문에서는 음료 판매 데이터 분석 및 판매량을 예측하는 방법을 제안하고자 하였다. 이를 위해 날씨와 음료 판매량이 상관관계가 있다고 가정하고, 온도, 습도를 입력으로 하여 판매량을 출력으로 하는 다항식 함수 관계를 모델링하였다. 본 논문에서는 제안한 방식의 유용성을 확인하기 위해 카페의 음료 판매 데이터를 2014년 2월부터 약 4개월 동안 수집하였고, 판매량 예측 알고리즘의 성능이 우수함을 확인하였다.

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