• Title/Summary/Keyword: unit ball

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Feeding Characteristics of Ball Guide in High Speed Spindle's Bearing Preload Units (고속 주축 베어링용 예압장치의 볼 가이드 이송특성)

  • Lee, Chan-Hong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.6
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    • pp.685-691
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    • 2011
  • The Bearing preload units are used for stable rotational movements of high speed spindles. The feeding mechanism of the preload unit is important to prevent overheat of bearings and to keep constant bearing load under thermal deformation of spindle unit. In this study, ball slide guide and ball bush as feeding mechanism of preload unit are selected. The maximum static friction force, radial stiffness and damping ratio of ball slide guide with ball load, ball number and ball size are widely investigated. In conclusion, the surface of ball slide guide must be heat treated to reduce static friction force. The number and size of ball are increased to control sensitive bearing preload force.

Rotational Characteristics of High Precision Spindle Unit with Ball-Hydrostatic Bearing (볼-유정압 복합베어링을 갖는 고정밀 주축의 회전특성에 관한 연구)

  • 이찬홍;이후상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.05a
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    • pp.663-667
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    • 2000
  • The spindle unit is core parts in high precision machine tools. Diverse static and dynamic charateristics of spindle unit are needed for special purpose of machine tools. Specially, high damping ability may be very useful to high precision and high speed spindle unit. But commercial bearing system has very low damping value and high stiffness. In this paper, the combined bearing system with ball-hydrostatic bearing is suggested for high damping spindle unit. The suggested bearing system has 30% damping ability more than general ball bearing's. The average rotational accuracy of spindle with combined bearing in working speed is 24% better than with ball bearing. The unbalance rotating experiment in spindle show that rotating error with combined bearing is only half value of with ball bearing.

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Piezoelectric and Dielectric Properties of PMN-PNN-PZT Ceramic according to the High Energy Ball Milling (고에너지 밀링에 따른 PMN-PNN-PZT 세라믹의 유전 및 압전 특성)

  • Lee, Yu-Hyong;Yoo, Ju-Hyun;Paik, Dong-Soo
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.203-204
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    • 2008
  • In this study, in order to develop the multilayer piezoelectric actuator and ultrasonic resonator, PMN-PNN-PZT ceramics were fabricated by the variations of ball size at sintering temperature of $900^{\circ}C$ and their piezoelectric and dielectric characteristics were investigated as a function of the variations of ball size. When the ball size was 3mm$\phi$, density, dielectric constant$({\varepsilon}r)$, electromechanical coupling factor(kp) and piezoelectric d constant$(d_{33})$ were increased. At the ball size of 3mm$\phi$, the specimen showed the optimum values of density=7.909g/$cm^3$, kp=0.592, Qm=1292, $d_{33}$=368pC/N, $\varepsioln_r$=1502, respectively.

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A study on design and structural strength analysis of positioner in robot overlay welding system of ball for ball-valve (볼밸브용 볼의 로봇 육성용접시스템에서 포지셔너의 설계 및 구조강도해석에 관한 연구)

  • Lee, Jong-Hwan;Lho, Tae-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.3
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    • pp.1639-1644
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    • 2015
  • A study on design and structural strength analysis of a positioner in robot overlay welding system of a ball for ball-valves. Turning-unit of positioner modeled, analysis was conducted by assuming the beam. Turning-unit is applied to the stress, it was shown by 366.85MPa when weight of the ball is $9,000kg_f$. This value is higher than the yield strength of the material. Based on the results of previous, it was modeled the turning-unit by modifying. Results of analysis by a modified modeling, The value of stress was confirmed to 296.11MPa. This value is a value lower than the yield strength of the material, it was found to support the weight of the ball.

FATOU THEOREM AND EMBEDDING THEOREMS FOR THE MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL

  • Cho, Hong-Rae;Lee, Jin-Kee
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.187-195
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    • 2009
  • We investigate the boundary values of the holomorphic mean Lipschitz function. In fact, we prove that the admissible limit exists at every boundary point of the unit ball for the holomorphic mean Lipschitz functions under some assumptions on the Lipschitz order. Moreover, we get embedding theorems of holomorphic mean Lipschitz spaces into Hardy spaces or into the Bloch space on the unit ball in $\mathbb{C}_n$.

NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

  • Fang, Zhong-Shan;Zhou, Ze-Hua
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.751-759
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    • 2015
  • In this paper, we give new characterizations of the boundedness and compactness of composition operators $C_{\varphi}$ between Bloch type spaces in the unit ball $\mathbb{B}^n$, in terms of the power of the components of ${\varphi}$, where ${\varphi}$ is a holomorphic self-map of $\mathbb{B}^n$.

LIPSCHITZ TYPE CHARACTERIZATIONS OF HARMONIC BERGMAN SPACES

  • Nam, Kyesook
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.1277-1288
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    • 2013
  • Wulan and Zhu [16] have characterized the weighted Bergman space in the setting of the unit ball of $C^n$ in terms of Lipschitz type conditions in three different metrics. In this paper, we study characterizations of the harmonic Bergman space on the upper half-space in $R^n$. Furthermore, we extend harmonic analogues in the setting of the unit ball to the full range 0 < p < ${\infty}$. In addition, we provide the application of characterizations to showing the boundedness of a mapping defined by a difference quotient of harmonic function.

THE UNIT BALL OF THE SPACE OF BILINEAR FORMS ON ℝ3 WITH THE SUPREMUM NORM

  • Kim, Sung Guen
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.487-494
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    • 2019
  • We classify all the extreme and exposed bilinear forms of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ which leads to a complete formula of ${\parallel}f{\parallel}$ for every $f{\in}{\mathcal{L}}(^2l^3_{\infty})^*$. It follows from this formula that every extreme bilinear form of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ is exposed.