• Title/Summary/Keyword: X-plane

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Orthogonality Measurement of Square Plane Mirrors for Laser Interferometry (레이저 간섭계의 직각 평면거울에 대한 직각도 오차 측정)

  • 김태호;김승우
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.169-179
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    • 1998
  • Plane mirror type laser interferometers are popularly being used in many modern ultraprecision machines, as they can perform simultaneous measurements of multiple axis positions with nanometer resolution capabilities. One important issue in this application of laser interferometers is to provide a good level of alignment between the reflecting mirrors and the laser beams so that measurement errors due to undesirable coupling effects can be avoided in multiple axis measurements In this investigation, a thorough metrological analysis is given to develop an suitable mathematical model for a precision x-y stage in which the orthogonality misalignment between the reflecting mirrors significantly affects overall x-y mea-surement results. Then a noble calibration method is suggested in which two-dimensional displacement sensors of moire gratings of concentric circles are used to realize the reversal principle of orthogonality evaluation in situ. Finally, actual experimental results are discussed to verify that the suggested method can effectively calibrate the orthogonality error with an uncertainty of 0.2667 arcsec.

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Nano Position Control of Plane X-Y Stage Using Minimum Order Observer (최소차원 관측기를 이용한 평면 X-Y 스테이지의 나노 위치제어)

  • 김재열;윤성운;곽이구;안재신;한재호
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.10a
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    • pp.180-185
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    • 2003
  • Performance test of servo control system that is used ultra-precision positioning system with single plane X-Y stage is performed by simulation with Matlab. Analyzed for previous control algorithm and adapted for modem control theory, dual servo algorithm is developed by minimum order observer, and stability priority on controller are secured. Through the simulation and experiments on ultra precision positioning, stability and priority on ultra-precision positioning system with single plane X-Y stage and control algorithm are secured by using Matlab with Simulink and ControlDesk made in dSPACE

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Simulation and Control performance evaluation of Ultra-Precision Single Plane X-Y Stage (초정밀 평면 X-Y 스테이지의 시뮬레이션 및 제어성능 평가)

  • 박기형;김재열;곽이구
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.5
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    • pp.65-72
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    • 2002
  • In this study, actuator, sensor, guide, power transmission element and control method are considered for ultra-precision positioning apparatus. Through previous process, single plane X-Y stage with ultra-precision positioning is manufactured. Global stage for the purpose of materialization with robust system, is combined by using AC servo motor and ball screw and rolling guide. And ultra-precision positioning system is developed by micro stage with elastic hinge type and piezo element. global servo and micro servo for the purpose of materialization positioning accuracy with nm(nanometer) are controlled simultaneously by using incremental encoder and laser interferometer as displacement measurement sensor. Through previous process, ultra-precision positioning system(100mm stroke and $\pm$ l0nm positioning accuracy) with single plane X-Y stage are materialized.

AREA PROPERTIES ASSOCIATED WITH STRICTLY CONVEX CURVES

  • Bang, Shin-Ok;Kim, Dong-Soo;Kim, Incheon
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.2
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    • pp.407-417
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    • 2022
  • Archimedes proved that for a point P on a parabola X and a chord AB of X parallel to the tangent of X at P, the area of the region bounded by the parabola X and the chord AB is four thirds of the area of the triangle ∆ABP. This property was proved to be a characteristic of parabolas, so called the Archimedean characterization of parabolas. In this article, we study strictly convex curves in the plane ℝ2. As a result, first using a functional equation we establish a characterization theorem for quadrics. With the help of this characterization we give another proof of the Archimedean characterization of parabolas. Finally, we present two related conditions which are necessary and sufficient for a strictly convex curve in the plane to be an open arc of a parabola.

A Study on K-Inverter Characteristics for Triple E-Plane type Structures (삼중 E-평면형 구조의 K-인버터특성에 관한 연구)

  • 오영주
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.252-256
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    • 1990
  • In this paper, we proposed E-plane structures to obtain the high insertion loss at stopband and show that T-equivalent and K-inverter of Triple E-plane structures are better than those of All-Metal Insert E-plane structures. To show the characteristics first order bandpass filter are designed and tested at X band.

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TOEPLITZ OPERATORS ON WEIGHTED ANALYTIC BERGMAN SPACES OF THE HALF-PLANE

  • Kang, Si-Ho;Kim, Ja-Young
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.437-450
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    • 2000
  • On the setting of the half-plane H={x+iy$\mid$y>0} of the complex plane, we study some properties of weighted Bergman spaces and their duality. We also obtain some characterizations of compact Toeplitz operators.

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The Development of The Simulation Environment for Operating a Simultaneous Man/Unmanned Aerial Vehicle Teaming (유/무인 항공기 복합운용체계 검증을 위한 시뮬레이션 환경 구축)

  • Gang, Byeong Gyu;Park, Minsu;Choi, Eunju
    • Journal of Aerospace System Engineering
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    • v.13 no.6
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    • pp.36-42
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    • 2019
  • This research illustrates how the simulation environment for operating the simultaneous man/unmanned aerial vehicle teaming is constructed. X-Plane program, HILS for the ducted fan aircraft (unmanned) and CTLS (manned aircraft) with communication devices are interfaced to simulate the basic co-operational flight. The X-plane and HILS can allow operators to experience the maned and unmanned aircraft operation in the airspace on the ground in turn they can perform various simulated missions in advance before the actual flight. For the test purpose, the data link between man/unmanned aircraft and ground control station is examined using C Band and UHF radio channels by the manned aircraft.

Areas associated with a Strictly Locally Convex Curve

  • Kim, Dong-Soo;Kim, Dong Seo;Kim, Young Ho;Bae, Hyun Seon
    • Kyungpook Mathematical Journal
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    • v.56 no.2
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    • pp.583-595
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    • 2016
  • Archimedes showed that for a point P on a parabola X and a chord AB of X parallel to the tangent of X at P, the area S of the region bounded by the parabola X and chord AB is four thirds of the area T of triangle ${\Delta}ABP$. It is well known that the area U formed by three tangents to a parabola is half of the area T of the triangle formed by joining their points of contact. Recently, the first and third authors of the present paper and others proved that among strictly locally convex curves in the plane ${\mathbb{R}}^2$, these two properties are characteristic ones of parabolas. In this article, in order to generalize the above mentioned property $S={\frac{4}{3}}T$ for parabolas we study strictly locally convex curves in the plane ${\mathbb{R}}^2$ satisfying $S={\lambda}T+{\nu}U$, where ${\lambda}$ and ${\nu}$ are some functions on the curves. As a result, we present two conditions which are necessary and sufficient for a strictly locally convex curve in the plane to be an open arc of a parabola.

Tool Path Analysis and Motion Control of 3D Engraving Machine

  • Smerpitak, Krit;Pongswatd, Sawai;Ukakimapurn, Prapart
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1245-1248
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    • 2004
  • This paper presents a new technique to analyze data on the coordinate x, y, z and apply these data to design the motion control to improve the efficiency of the engraving machine so that it can engrave accordingly in 3 dimensions. First, the tool path on the x-y plane is analyzed to be synchronized with the z-axis. The digital data is then sent to the motion control to guide the movement of the engrave point on the x-y plane. Tool path moves along the x-axis with zero degree and different values of the y-axis according to the coordinate of the digital data and the analysis along z-axis to determine the depth for engraving. The depth can be specified from the gray level with the 256 levels of resolution. The data obtained includes the distances on x-axis, y-axis, and z-axis, the acceleration of the engrave point's movement, and the speed of the engrave point's movement. These data is then transfered to the motion control to guide the movement of the engrave point along the z-axis associated with the x-y plane. The results indicate that engraving using this technique is fast and continuous. The specimen obtained looks perfect in 3D view.

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The Development of Optimal Design and Control System for Ultra-Precision Positioning on Single Plane X-Y Stage (평면 X-Y 스테이지의 초정밀 위치결정을 위한 최적 설계 및 제어시스템 개발)

  • 한재호;김재열;심재기;김창현;조영태;김항우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.348-352
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    • 2002
  • a basis such as IT(Information Technology), NT(Nano Technology) and BT(Bio Technology). Recently, NT is applied to various fields that are composed of science, industry, media and semiconductor-micro technology. It has need of IT that is ultra-precision positioning technology with strokes of many hundreds mm and maintenance of nm precision in fields of ultra micro process, ultra precision measurement, photo communication part and photo magnetic memory. This thesis represents optimal design on ultra-precision positioning with single plane X-Y stage and development of artificial control system for adequacy of industrial demand. Also, dynamic simulation on global stage is performed by using ADAMS (Automated Dynamic Analysis of Mechanical System) for the purpose of grasping dynamic characteristic on user designed X-Y global stage. The error between displacements from micro stage and from FEM(Finite Element Method) is 3.53% by verifications of stability on micro stage and control performance. As maximum Von-mises stress on hinge of micro stage is 5.981kg/mm$^2$ that is 1.5% of yield stress, stability on hinge is secured. Preparing previous results, optimal design of micro stage can be possible, and reliance of results with FEM can be secured.

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