• Title/Summary/Keyword: Squareness

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Analysis for the Squareness Measurement using Laser Interferometer (레이저 간섭계를 이용한 직각도 측정에 관한 분석)

  • Lee, Dong-Mok;Lee, Hoon-Hee;Yang, Seung-Han
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.8
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    • pp.863-872
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    • 2012
  • The squareness measurement of driving axes of a machine tool is very important to evaluate the performance of the machine. Laser interferometer measurement system is one of the most reliable equipment to measure the squareness. However, squareness measurement using laser system with an optical square result in restriction of straightness optics setup and Abbe's offset. This offset combines with angular errors during the motion of an axis to cause Abbe's error. In addition, the difficulty in optical square setup causes restriction of other optics and limitation of measurable range. In this paper, mathematical approaches are presented to eliminate the Abbe's error and to estimate squareness for full range by using the best fit of straightness data measured without an optical square. Experiments for squareness measurement of 3 axis machine tool were conducted and the proposed techniques were used for squareness evaluation with elimination of Abbe's error and squareness estimation for the full travel range.

A study on the diagonal error compensation and squareness measurement of linear motor (리니어 모터의 직각도 측정과 대각선 오차 보정에 관한 연구)

  • Kim J.H.;Lee C.W.;Song J.Y.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.287-288
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    • 2006
  • This paper introduces an approach of method to compensate accuracy error of diagonal direction. The measurement of squareness error is an important parameter in performance test of two axis Linear Motor and this exerts influence on accuracy error of diagonal test. However, previous knowledge management approaches are limited in deviation measurement of optical axis or restrictive elements of diagonal measurements using laser interferometer. But this proposed method calculated diagonal accuracy error which was occurred by squareness error and compensated squareness error using orthogonal correction method of PMAC. From this result, diagonal accuracy error is significantly reduced. This experimental results show that geometric error of squareness error is easily corrected by dynamic coordinate correction.

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Squareness Estimation for Coordinate Measuring Machine Using the Laser Interferometer Measurement Based on the Face-Diagonal Method (Face-Diagonal 방법 기반의 레이저 간섭계 측정을 이용한 CMM 의 직각도 추정)

  • Lee, Hoon Hee;Lee, Dong Mok;Yang, Seung Han
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.4
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    • pp.295-301
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    • 2016
  • The out-of-squareness is one of the error sources that affect the positioning accuracy of machine tools and coordinate measuring machines. Laser interferometer is widely used to measure the position and angular errors, and can measure the squareness using an optical square. However, the squareness measurement using the laser interferometer is difficult, as compared to other errors due to complicated optics setup and Abbe's error occurrence. The effect of out-of-squareness mainly appears at the face-diagonal of the movable plane. The diagonal displacements are also affected by the position dependent geometric errors. In this study, the squareness estimation techniques via diagonal displacement measurement using the laser interferometer without an optical square were proposed. For accurate estimation and measurement time reduction, the errors selected from proposed discriminant were measured. Discrepancy between the proposed technique with the laser interferometer (with an optical square) result was $0.6{\mu}rad$.

A Generalized Volumetric Error Modeling Considering Backlash in Machine Tools (방향성을 고려한 일반화된 공작기계의 입체오차 모델링)

  • Ahn, Kyoung-Gee;Cho, Dong-Woo
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.4
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    • pp.124-131
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    • 2002
  • In this paper, an extended volumetric error model considering backlash in a three-axis machine tool was proposed and utilized for calculating the volumetric error of the machine tool at any position in three-dimensional workspace. Backlashes are interrelated; i.e. the angular backlash affects the straightness errors which then affect talc calculated squareness errors. Therefore, a new concept was introduced to define the backlash of squareness errors to incorporate the backlash of squareness error into the volumetric error, and the characteristics of the backlash of squareness error were investigated. The effects of backlash errors were assessed, by experiments. for 21 geometric errors of a machine tool. The backlash error was shown to be one of the systematic errors of a machine tool. And a generalized volumetric error model formulator for three-axis machine tools was developed, which allowed us to formulate machine tool synthesis error models far all possible machine tool configurations only with machine tool topology information. Based on these volumetric error model and model formulator, a computer-aided volumetric error analysis system was developed for a three-axis machine tool in this paper. Then the volumetric error at an arbitrary position can be obtained, and displayed in a three-dimensional graphic form.

Estimation of a Volumetric Error of a Machine Tool Considering the Moving Direction of a Machine Tool (방향성을 고려한 공작기계 입체오차의 평가)

  • 안경기;조동우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.05a
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    • pp.676-680
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    • 2000
  • In this paper, an extended volumetric error model considering backlash in a three-axis machine tool was proposed and utilized for calculating the volumetric error of the machine tool at any position in three-dimensional workspace. Backlashes are interrelated; i.e. the angular backlash affects the straightness errors which then affect the calculated squareness errors. Therefore, a new concept was introduced to define the backlash of squareness errors to incorporate the backlash of squareness error into the volumetric error, and the characteristics of the backlash of squareness error were investigated. The effects of backlash errors were assessed, by experiments, fur 21 geometric errors of a machine tool. The backlash error was shown to be one of the systematic errors of a machine tool. Based on this volumetric error model, a computer-aided volumetric error analysis system was developed for a three-axis machine tool in this paper. Then the volumetric error at an arbitrary position can be obtained, and displayed in a three-dimensional graphic form.

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Physical Properties of Polycrystalline Mn2O3-Substituted LiNiBi Ferrite (Mn2O3가 LiNiBi Ferrite의 물리적 특성에 미치는 영향)

  • Koh Sae Gui
    • Korean Journal of Materials Research
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    • v.14 no.9
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    • pp.655-658
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    • 2004
  • Lithium ferrites are a low-cost material which have been prominent in the high frequency core industry because of their excellent temperature performance and high squareness ratio. In order to develope the lithium ferrites with the high squareness and low coercive force, the ferrites of $Li_{0.48}Bi_{0.02}Ni_{0.04}Fe_{2.46-x}O_4$ were investigated the by varying composition, temperature and frequency. Electric loss of the Li-ferrite was lowered with the substitution of $Mn_{2}O_3$. The addition of $Mn_{2}O_3$ increased the magnetic induction (Bm&Br) but decreased the coercive force (Hc) and the squareness ratio (R=Br/Bm). Also, the Br value was stable at environmental temperature variation.

Physical Properties of Polycrystalline Zinc-Substituted Lithium Ferrite (ZnO가 Lithium ferrite의 물리적 특성에 미치는 영향에 관한 연구)

  • 고재귀
    • Journal of the Korean Magnetics Society
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    • v.9 no.5
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    • pp.234-238
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    • 1999
  • Lithium ferrites are prominent in the element of microwave frequency communication core and high frequency memory core because of their low coercivity and the high squareness ratio. This paper reports primarily the development of lithium ferrites with the low coercivity and high squareness ratio. The materials with $Li_{0.48-0.5x}Bi_{0.02}Ni_{0.04}Zn_xFe_{2.46-0.5x}O_4$ (x = 0,0.01, 0.02, 0.03) have been prepared to investigate the physical properties. The addition of ZnO gave raised maximum induction $(B_m)$ and decreased coercive force $(H_c)$, but the squareness ratio $(R\;=\;B_m/B_r)$ was decreased. The specimen of squareness ratio R=0.82, coercive force $H_c=\;1.80\;Oe$ was obtained for $Li_{0.48-0.5x}Bi_{0.02}Ni_{0.04}Zn_xFe_{2.46-0.5x}O_4$ (X=0) sintered at 105$0^{\circ}C$. Also the sample of squareness ratio R = 0.75, coercive force $H_c=\;1.70\;Oe$ for $Li_{0.48-0.5x}Bi_{0.02}Ni_{0.04}Zn_xFe_{2.46-0.5x}O_4$ (X = 0) sintered at 110$0^{\circ}C$ was measured. The Tc was obtained 463$^{\circ}C$ and the Br of environmental temperature variation was stable.

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The study on effects of porosity, strain and grain size on B-H Hysteresis Ioop (기공율, 응력 및 입자 크기가 B-H Hysteresis loop 특성에 미치는 영향 연구)

  • 김성재;정명득;백종규
    • Journal of the Korean Magnetics Society
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    • v.4 no.2
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    • pp.89-93
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    • 1994
  • Effects of density, inner-stress, and grain size on B-H hysteresis loop properties of Mg-ferrite were investigated. As the sintered bulk density increase, coercive force($H_c$) decreasand squareness ratio increase. Coercive force was very dependent on inner-stress in sintered body, so coercive force increase from 1.95[Oe] to 4.35[Oe] when inner stress present in bulk, however, the squareness ratio was almost not changed Coercive force and squareness ratio were independent on grain size of sintered body which is between 6-11[$\mu\textrm{m}$]

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