• Title/Summary/Keyword: point collocation

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Comparison of Centralized and Decentralized Control for Vibration Suppression of a Beam (보의 진동억제를 위한 중앙화 및 비중앙화 제어의 비교 연구)

  • Lee, Young-Sup
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.494-497
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    • 2005
  • Direct velocity feedback (DVFB) control with a collocated distributed actuator and point sensor pair is known that it offers a good stability with high performance when the control strategy is applied at the suppression of structural vibration. Also decentralized control method introduced to offer to reduce implementaion effort and malfunction due to failure in sensors and actuators of control system has become an important position in DVFB. In this paper, the decentralized control is compared with centralized control in terms of vibrational velocity reduction in a clamped-clamped beam.

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Hydrodynamic Stability Analysis of KEB Boundary-Layer Flow (KEB 경계층 유동의 유동특성 해석)

  • Lee Yun-Yong;Lee Kwang-Won;Hwang Young-Kyu
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.683-686
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    • 2002
  • The hydrodynamic instability of the three-dimensional boundary-layer over a rotating disk has been numerically investigated for three cases flows using linear stability theory (i.e. Rossby number, Ro = -1, 0, and 1). Detailed numerical values of the disturbance wave number, wave frequency, azimuth angle, radius (Reynolds number, Re) and other characteristics have been calculated for $K{\acute{a}}rm{\acute{a}}n$, Ekman and $B{\"{o}}ewadt$ boundary-layer flows. Neutral curves for these flows are presented. Presented are the neutral stability results concerning the two instability modes (Type I and Type II) by using a two-point boundary value problem code COLUEW that was based upon the adaptive orthogonal collocation method using B-spline. The prediction from the present results on both instability modes among the three cases agrees with the previously known numerical and experimental data well.

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NUMERICAL STUDY ON TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW BASED ON GRIDLESS METHOD (2차원 비압축성 점성유동에 관한 무격자법 기반의 수치해석)

  • Jeong, S.M.;Park, J.C.;Heo, J.K.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.93-100
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    • 2009
  • The gridless (or meshfree) methods, such as MPS, SPH, FPM an so forth, are feasible and robust for the problems with moving boundary and/or complicated boundary shapes, because these methods do not need to generate a grid system. In this study, a gridless solver, which is based on the combination of moving least square interpolations on a cloud of points with point collocation for evaluating the derivatives of governing equations, is presented for two-dimensional unsteady incompressible Navier-Stokes problem in the low Reynolds number. A MAC-type algorithm was adopted and the Poission equation for the pressure was solved successively in the moving least square sense. Some typical problems were solved by the presented solver for the validation and the results obtained were compared with analytic solutions and the numerical results by conventional CFD methods, such as a FVM.

A Comparative Analysis of 3D Circle Fitting Algorithms for Determination of VLBI Antenna Reference Point (VLBI 안테나 기준점 결정을 위한 3D Circle Fitting 알고리즘의 비교 분석)

  • Hyuk Gil, Kim;Jin Sang, Hwang;Hong Sik, Yun;Tae Jun, Jeong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.33 no.4
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    • pp.231-244
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    • 2015
  • The accuracy of reference point of VLBI antenna is mandatory to perform collocation of different space geodetic techniques. In this study, we evaluated the optimal methods for the 3D circle fitting to enhance the accuracy of the reference point of VLBI antenna. Two kinds of methodologies for the orthonormal coordinate system with translation of planar observation point and the unitary coordinate transforamation were suggested and their fitting accuracies were evaluated where the orthogonal distance was calculated by residual between observation point and fitting model and the recursive calculation was performed to improve the accuracy of 3D circle fitting. Finally, we found that the methodology for the unitary coordinate transformation is highly appropriate to determine the optimal equation for azimuth-axis and elevation-axis of VLBI antenna. Therefore, the reference point of VLBI antenna with high accuracy can be determined by the intersection of the above two axises (azimuth-axis and elevation-axis). This result is expected to be utilized for a variety of researches for connection between VLBI observation results and the national control point.

A Study on the Considerations in Rules for Authorized Access points of Music Work (음악 저작의 전거형접근점 규칙 마련시 고려사항에 관한 연구)

  • Lee, Mihwa
    • Journal of Korean Library and Information Science Society
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    • v.49 no.4
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    • pp.147-166
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    • 2018
  • This study is to suggest the considerations in the rules for authorized access points for collocation of music work by figuring out the directions of authorized access points in FRBR, LRM, ICP 2016, RDA, and BIBFRAME, and by analyzing RDA rules for attributes and authorized access points of music works and expression and VIAF examples. First, an aggregated authorized access points were suggested as the direction of authorized access points, and original title may be selected as preferred title and the authorized access point may be based on forms in one of the languages suited to the users, if the original title is not normally suited. Second, music works's authorized access points is consisted of composer authorized access point and preferred title, and of adapter's authorized access point and preferred title in case of lacks of responsibility in composer. Also, the authorized access point of Korean traditional music work must be reviewed according to work types considering the responsibility of composer. Third, the controlled vocabularies for name of music type, medium of performance, and key could be considered for describing the attributes of work and expression. This study would be the foundation study for the authorized access point of music work, and additional research should be completed through surveying music user's need.

NUMERICAL STUDY ON TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW BASED ON GRIDLESS METHOD (2차원 비압축성 점성유동에 관한 무격자법 기반의 수치해석)

  • Jeong, S.M.;Park, J.C.;Heo, J.K.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.239-244
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    • 2009
  • The gridless (or meshfree) methods, such as MPS, SPH, FPM an so forth, are feasible and robust for the problems with moving boundary and/or complicated boundary shapes, because these methods do not need to generate a grid system. In this study, a gridless solver, which is based on the combination of moving least square interpolations on a cloud of points with point collocation for evaluating the derivatives of governing equations, is presented for two-dimensional unsteady incompressible Navier-Stokes problem in the low Reynolds number. A MAC-type algorithm was adopted and the Poission equation for the pressure was solved by successively in the moving least square sense. Some weighing functions were tested in order to investigate the up-winding effect for the convection term. Some typical problems were solved by the presented solver for the validation and the results obtained were compared with analytic solutions and the numerical results by conventional CFD methods, such as FVM.

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Electro-optical analysis of a miniaturized electrostatic electron lens (초소형 전자 렌즈의 전자 광학적 분석)

  • Kim, Ho-Seob;Kim, Dae-Wook;Kim, Young-Chul;Choi, Sang-Kuk;Kim, Dae-Yong
    • Korean Journal of Optics and Photonics
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    • v.14 no.2
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    • pp.194-199
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    • 2003
  • The analysis of operation characteristics of a miniaturized electrostatic electron lens system called an Einzel lens was performed using a simulation tool of FCM method. The potential distributions of Einzel lenses operated both in retarding and accelerating modes show similar features. But the electric fields determined from the potential distributions show opposite directions, which results in different features in the electron beam trajectory in each mode of operation. For the same working distance, focusing voltage in the accelerating mode is higher than that in the retarding mode.

APPROXIMATION OF SOLUTIONS THROUGH THE FIBONACCI WAVELETS AND MEASURE OF NONCOMPACTNESS TO NONLINEAR VOLTERRA-FREDHOLM FRACTIONAL INTEGRAL EQUATIONS

  • Supriya Kumar Paul;Lakshmi Narayan Mishra
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.137-162
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    • 2024
  • This paper consists of two significant aims. The first aim of this paper is to establish the criteria for the existence of solutions to nonlinear Volterra-Fredholm (V-F) fractional integral equations on [0, L], where 0 < L < ∞. The fractional integral is described here in the sense of the Katugampola fractional integral of order λ > 0 and with the parameter β > 0. The concepts of the fixed point theorem and the measure of noncompactness are used as the main tools to prove the existence of solutions. The second aim of this paper is to introduce a computational method to obtain approximate numerical solutions to the considered problem. This method is based on the Fibonacci wavelets with collocation technique. Besides, the results of the error analysis and discussions of the accuracy of the solutions are also presented. To the best knowledge of the authors, this is the first computational method for this generalized problem to obtain approximate solutions. Finally, two examples are discussed with the computational tables and convergence graphs to interpret the efficiency and applicability of the presented method.

Fuel Optimization for Low Earth Orbit Maintenance (최적화 기법을 이용한 초저고도 운용위성 연료량 분석)

  • Park, Yong-Jae;Park, Sang-Young;Kim, Young-Rok;Choi, Kyu-Hong
    • Journal of Astronomy and Space Sciences
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    • v.25 no.2
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    • pp.167-180
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    • 2008
  • The resolution of Earth images taken from a satellite has close relation with satellite's altitude. If a satellite has lower altitude, it gets a picture having better resolution. However the satellite will be exposed to heavier air drag and will spend more fuel to maintain its altitude for a desired mission. Therefore, in this study, the required fuel to maintain very low earth orbit(LEO) with severe air drag is analyzed using optimization method such as collocation method. The required fuel to maintain the low altitude has significantly increased as the mission altitude is lowered and the solar activity is maximized. This study also shows that the fuel reduced by increasing the period of the satellite maneuver is very small, and that slightly increasing the satellite's mission altitude is much effective in reducing the amount of fuel to maintain its altitude. The calculated fuel to maintain very low earth orbit in this study would give useful information in planning the budget of fuel and cost for LEO satellites.

Study of Stokes Flow Past a Vertical Plate in a Two-Dimensional Channel (2차원 채널 내의 수직 평판을 지나는 스톡스 유동에 대한 연구)

  • Yoon, Seok-Hyun;Jeong, Jae-Tack
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.6
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    • pp.609-615
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    • 2011
  • A two-dimensional Stokes flow past a vertical plate in a channel is analyzed. The vertical plate is located at the center of the channel, and plane Poiseuille flow exists far upstream and downstream of the vertical plate. The Stokes approximation is used, and the flow is investigated analytically using the method of eigenfunction expansion and the point collocation method. From the analysis, the stream function and pressure distribution are obtained, and the pressure and shear stress distributions on the plate and channel wall are calculated. The additional pressure drop induced by the vertical plate and the force exerted on it are calculated as functions of the length of the vertical plate. For a typical length of the vertical plate, the streamline pattern and pressure distribution are shown. In addition, numerical analysis of laminar flow with a small Reynolds number is carried out to analyze the effect of a small Reynolds number on the flow pattern.