• Title/Summary/Keyword: high-order accuracy

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Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite

  • Song, Young-Joo;Kim, Bang-Yeop
    • Journal of Astronomy and Space Sciences
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    • v.32 no.3
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    • pp.247-256
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    • 2015
  • In this work, an efficient method with which to evaluate the high-degree-and-order gravitational harmonics of the non-sphericity of a central body is described and applied to state predictions of a lunar orbiter. Unlike the work of Song et al. (2010), which used a conventional computation method to process gravitational harmonic coefficients, the current work adapted a well-known recursion formula that directly uses fully normalized associated Legendre functions to compute the acceleration due to the non-sphericity of the moon. With the formulated algorithms, the states of a lunar orbiting satellite are predicted and its performance is validated in comparisons with solutions obtained from STK/Astrogator. The predicted differences in the orbital states between STK/Astrogator and the current work all remain at a position of less than 1 m with velocity accuracy levels of less than 1 mm/s, even with different orbital inclinations. The effectiveness of the current algorithm, in terms of both the computation time and the degree of accuracy degradation, is also shown in comparisons with results obtained from earlier work. It is expected that the proposed algorithm can be used as a foundation for the development of an operational flight dynamics subsystem for future lunar exploration missions by Korea. It can also be used to analyze missions which require very close operations to the moon.

MULTIGRID METHOD FOR AN ACCURATE SEMI-ANALYTIC FINITE DIFFERENCE SCHEME

  • Lee, Jun-S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.2
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    • pp.75-81
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    • 2003
  • Compact schemes are shown to be effective for a class of problems including convection-diffusion equations when combined with multigrid algorithms [7, 8] and V-cycle convergence is proved[5]. We apply the multigrid algorithm for an semianalytic finite difference scheme, which is desinged to preserve high order accuracy despite of singularities.

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Analysis of the Motion Accuracy in Linear Motion Bearing Guide (직선베어링 이송계의 운동정밀도 해석)

  • 김경호;이후상;박천홍;김승우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.179-183
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    • 2000
  • This paper is concerned with achieving the high motion accuracy of linear motion bearing guide according to estimate accuracy average effect of bearing. Accuracy average effect can be obtained b analysis the relationship between motion error of the table and spatial frequency of the rail form error. And influences of ball diameter, ball number, and clock length on block motion error and block number on the table motion error are analyzed theoretically. In addition to, a simple experiment is performed in order to verify theoretical result.

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A 110dB, 3-mW Fourth-order ${\Sigma}-{\Delta}$ Modulator for high accuracy measure systems (110dB, 3-mW 4차 단일비트 시그마 델타 모듈레이터)

  • Kim, Tae-Yoon;Park, Won-Ki;Min, Kyong-Won;Choi, Jong-Chan;Lee, Sung-Chul
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.609-610
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    • 2008
  • In this paper, a 110 dB, 1.024 MHz fourth-order single-loop Delta-Sigma sigma modulator has been presented with an over-sampling ratio of 128 and an overload factor of -6 dB for a bandwidth of 4 kHz. In particular, this ${\Sigma}-{\Delta}$ modulator is well suited for high accuracy measure systems. The whole modulator consumes only 3-mW from a single 3.3V supply in a $0.35-{\mu}m$ CMOS technology.

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Dynamic Behavior Analysis of Driving Part in CHIP MOUNTER (CHIP MOUNTER 구동부의 동적 거동 해석)

  • 박원기;박진무
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.471-474
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    • 2001
  • Recently, due to demands of faster speed and extra features for the chip mounters, there has been ever-demanding needs for the basic technology. Until four or five years ago, chip mounters placing 0.3sec/chip were considered to be in the high speed category, but since then it has become a borderline for categorizing high speed machines capable of placing 0.1sec/chip. In this study, in order to analyze the vibration of head generated by the dynamic behavior of x-frame, FEM model is composed and modal analysis is performed to identify the dynamic characteristics of the structure. Those results are compared with the modal test in order to verify the model. In this paper, Several other factors, such as definition of dynamic accuracy, static accuracy and tolerance of the axis settling range, that might affect the dynamic behavior the head are discussed.

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A Study on the Structural Dynamic Design for Sub-micro Vibration Control in High Class Semiconductor Factor by Semi-Empirical Method (준 경험기법을 이용한 고집적 반도체공장의 미진동 제어를 위한 구조물의 동적설계에 관한 연구)

  • 이홍기;백재호;원영재;박해동;김두훈
    • Journal of KSNVE
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    • v.9 no.6
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    • pp.1227-1233
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    • 1999
  • Modern technology depends on the reliability of extremely high technology equipments. In the production of semiconductor wafer, optical and electron microscopes, ion-beam, laser device must maintain their alignments within a nanometer. This equipment requires a vibration free environment to provide its proper function. Especially, lithography and inspection devices, which have sub-nanometer class high accuracy and resolution, have come to necessity for producing more improved giga and tera class semiconductor wafers. This high technology equipments require very strict environmental vibration standard, vibration criteria, in proportion to the accuracy of the manufacturing, inspecting devices. This paper deals with the structural dynamic design in high class semiconductor factory in order to be satisfied more strict vibration criteria for high sensitive equipment.

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A Study on the Numerical Stability and Accuracy of Lattice Boltzmann Method with Non-equilibrium first order extrapolation boundary condition (비평형 1 차 외삽 경계조건을 이용한 격자 볼츠만 법의 수치적 안정성 및 정확도에 관한 연구)

  • Jeong, Hae-Kwon;Kim, Las-Sung;Lee, Hyun-Goo;Ha, Man-Yeong
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2684-2689
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    • 2007
  • Non-equilibrium first order extrapolation boundary condition proposed by Guo et $al.^{(9)}$ proposed has a good application for complex geometries, a second order accuracy and a treatment on non-slip wall boundary condition easily. However it has a lack of the numerical stability from high Reynolds number. Guo et $al.^{(9)}$ substituted the density value of adjacent nodes for the density of boundary nodes. This procedure causes the numerical instability on the boundary. In this paper, we derived a procedure of density extrapolation and compared to previous results.

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A Study of English Consonants Identified by College Students (대학생들의 영어자음 인지 연구)

  • Yang, Byung-Gon
    • Speech Sciences
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    • v.12 no.3
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    • pp.139-151
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    • 2005
  • Previous studies have shown that Korean students have difficulty identifying some English consonants which are not in the Korean sound inventory. The aim of this study was to examine the accuracy rate of English consonants correctly identified by 130 college students in order to find out which English consonants were difficult for the students to perceive. The subject's task was to identify one of the minimal pairs played in a quiet laboratory classroom. 100 minimal pairs consisted of syllables with various onsets or codas: stops, fricatives, affricates, liquids and nasals. Results were as follows: First, the average score of the English major group was significantly higher than that of the non-English major group. Second, there was a similar distribution in the rank order of minimal pairs sorted by the accuracy rate between the two groups. Third, the accuracy rate systematically decreased as each score range decreased. Fourth, the students showed higher accuracy in the perception of liquids than that of the stop-fricative contrast. Fifth, the accuracy score in onset position was higher than in coda position. Finally, the students still had problem telling voiced consonants from voiceless ones, especially in coda position. It would be desirable to extend the present research to middle or high school students to fundamentally resolve those listening problems.

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Calculation of Sample Size for Guided Missile Considering Test Method and Reliability Growth (유도무기 시험평가 방법과 신뢰성 성장을 고려한 시험 수량 산출)

  • Lee, Youn-ho;Kim, Jae-hwang;Lee, Kye-shin;Lee, Jong-sin;Lee, Myoung-jin;Kim, Doo-hyun
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.6
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    • pp.844-852
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    • 2017
  • Since guided weapon is high-cost and one-shot device which is non-reusable, it requires a lot of resources to prove required accuracy as a part of reliability demonstration. Once a test for proving accuracy rate of guided missile fails, it causes an additional cost and delay of schedule. This study introduces an equation for proper sample size and plan for guided-missile accuracy rate test in order to minimize the risk of test failure. Proper sample size for the test is derived by considering the reliability growth. Furthermore, each task for accuracy rate test is defined according to the development step. Therefore, this study can contribute to reduce sample size for accuracy rate test in order to meet the reliability requirement and assure transparency in the test process.

Calculations of 3D Euler Flows around an Isolated Engine/Nacelle (비장착 엔진/나셀 형상에 대한 3차원 Euler 유동 해석)

  • Kim S. M.;Yang S. S.;Lee D. S.
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.51-58
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    • 1997
  • A reliable computational solver has been developed for the analysis of three-dimensional inviscid compressible flows around a nacelle of a high bypass ratio turbofan engine, The numerical algorithm is based on the modified Godunov scheme to allow the second order accuracy for space variables, while keeping the monotone features. Two step time integration is used not only to remove time step limitation but also to provide the second order accuracy in a time variable. The multi-block approach is employed to calculate the complex flow field, using an algebraic, conformal, and elliptic method. The exact solution of Riemann problem is used to define boundary conditions. The accuracy of the developed solver is validated by comparing its results around the isolated nacelle in the cruise flight regime with the solution obtained using a commercial code "RAMPANT. "

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