• Title/Summary/Keyword: Screw Axis

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An Application of Screw Motions for Mechanical Assemblies (기계부품들의 조립 및 해체과정 설계를 위한 스크류이론의 응용)

  • 김재정
    • Korean Journal of Computational Design and Engineering
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    • v.2 no.1
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    • pp.60-67
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    • 1997
  • CAD systems offer a variety of techniques for designing and rendering models of static 3D objects and even of mechanisms, but relatively few tools exist for interactively specifying arbitrary movements of rigid bodies through space. Such tools are essential, not only for artistic animation, but also, for planning and demonstrating assembly and disassembly procedure of manufactured products. A rigid body motion is a continuous mapping from the time domain to a set of positions. To relieve the designers from the burden of specifying this mapping in abstract mathematical terms, combinations of simple rigid motion primitives, such as linear translations or constant axis rotations, are often used. These simple motions are planar and thus ill-suited for approximating arbitrary motions in 3D-space. Instead, we propose the screw motion primitive, a special combination of linear translations and constant axis rotations, which has a simple geometric representation that can be automatically and unambiguously computed from the starting and ending positions of the moving body. Although, any two positions may be interpolated by an infinity of motions, we chose the screw motion for its relative generality and its computational advantages. The paper covers original algorithms for computing the screw motions from interpolated positions and envelopes of swept regions to predict collisions.

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A Study on Improvement of Repeatability induced Thermal deformation of the ball screw (볼나사 열변형에 따른 반복정밀도 개선에 관한 연구)

  • 조규재
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1997.10a
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    • pp.31-36
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    • 1997
  • Thermal expansion of the ball screw in semi-closed loop type CNC Lathe directly affects the position precision along the travel axis. In this paper, the thermal displacement of the ball screw is estimated by using macro variables. The estimated displacements of the ball screw are managed by calculating the interval of pitch error rate in the NC. The thermal behaviour of the ball screw of the CNC Lathe, under the constant operating conditions, was measured to examine the effectiveness of this compensation method. The results showed that thermal displacement of the ball screw could be maintained its accuracy better than 6${\mu}{\textrm}{m}$ while applying this method.

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A Study on Improvement of Accuracy of Positioning Induced Thermal Deformation of the Ball Screw in CNC Lathe (CNC 선반에서 볼 나사 열변형에 따른 위치결정 정도 개선에 관한 연구)

  • 홍성오
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.1
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    • pp.45-51
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    • 1999
  • Thermal expansion of the ball screw can directly affect the accuracy of positioning along the travel axis in the semi-closed loop type CNC Lathe. In this paper, use of MACRO variables can make the thermal displacement of the ball screw estimated. Also, the estimated displacements of the ball screw are controlled by calculating the interval of pitch error rate in the Numerical Control(NC). Under the constant operating conditions, the thermal expansion of the ball screw was measured to confirm the effectiveness of the compensation method in the CNC Lathe. By using this method the results show that the thermal displacement of the ball screw could be reduced to 20% compared with ordinary method.

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The Design of Cutter profiles for Manufacturing Rotors of Screw Compressor (스크류 로터 가공용 커터의 치형설계에 관한 연구)

  • Park, S.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.10
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    • pp.109-118
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    • 1997
  • The purpose of this paper is to design cutter profiles for manufacturing rotors of screw compressor, which are based on universal milling machine. The surface profile of screw rotor which is helicoidal is derived as brief equation through the coordinates transformation of the section perpendicular to rotor axis. And the equations of contact lines between a cutter and the surface profile of screw rotor are derived. The computer program which can analyze the equation of contact lines numerically and design the cutter profiles of screw rotor is made, and verified through measuring screw rotors which are menufactured as the designed cutter by the computer program.

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The Geometrical Mode Analysis of an Elastically Suspended Rigid Body with Planes of Symmetry (대칭면을 갖는 강체 진동계의 진동모드에 대한 기하학적 해석)

  • Dan, Byeong-Ju;Choe, Yong-Je
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.110-117
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    • 2000
  • Vibration modes obtained from a modal analysis can be better explained from a screw theoretical standpoint. A vibration mode can be geometrically interpreted as a pure rotation about the vibration center in a plane and as the twisting motion on a screw in a three dimensional space. This paper, presents the method to diagonalize a spatial stiffness matrix by use of a parallel axis congruence transformation. It also describes that the stiffness matrix diagonalized by a congruence transformation, can have the planes of symmetry depending on the location of the center of elasticity. For a plane of symmetry, any vibration mode can be expressed by the axis of vibration. Analytical solutions for the axis of vibration has been derived.

Approximate Synthesis of 5-SS Multi Link Suspension Systems for Steering Motion (조향 운동을 고려한 5-SS 멀티링크 현가장치의 근사 합성)

  • Kim, Seon-Pyeong;Sim, Jae-Gyeong;An, Byeong-Ui;Lee, Eon-Gu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.1
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    • pp.32-38
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    • 2001
  • This paper presents an approximate synthesis of 5-SS multi link suspension for 2 D.O.F motions. In the proposed synthesis method, alteration curves of camber, toe, kingpin and caster angles are optimized during the bump rebound and the steering motions. And joint positions can be located within desired boundari es. Especially, steering motions are considered for control of kingpin offset and caster trail. Prescribed motions contain both wheel center positions and imaginary kingpin axes in the multi link type suspension. Constraint equations are formulated with di splacement matrix and velocity matrix using instantaneous screw axis.

Posterior Atlantoaxial Fixation with a Combination of Pedicle Screws and a Laminar Screw in the Axis for a Unilateral High-riding Vertebral Artery

  • Kim, Sei-Yoon;Jang, Jee-Soo;Lee, Sang-Ho
    • Journal of Korean Neurosurgical Society
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    • v.41 no.2
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    • pp.141-144
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    • 2007
  • A vertebral arte [VA] injury presents a difficult problem in atlantoaxial fixation. Recent technical reports described posterior C2 fixation using bilateral, crossing C2 laminar screws. The translaminar screw technique has the advantages of producing little risk of VA injury and the unconstrained screw placement. In addition, biomechanical studies have demonstrated the potential of the translaminar screw technique to provide a firmer construct that is equivalent to methods currently used. We report the successful treatment of C1-2 instability with a left-side high-riding VA. Because of the potential risk of VA injury, we performed a posterior C1-2 fixation with a combination of pedicle screws and a laminar screw in C2. We first placed bilateral C1 lateral mass screws and a right-side C2 pedicle screw. However, placement of the left- side C2 pedicle screw was technically difficult due to a narrow isthmus and pedicle. A laminar screw was inserted instead and authors believe that this posterior C1-C2 fixation with a combination of pedicle screws and a laminar screw in C2 can be a useful alternative technique for the treatment of C1-C2 instability in the presence of a unilateral high-riding VA.

불나사 열변형에 따른 가공정밀도 개선에 관한 연구

  • 조규재;홍성오;전언찬
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.278-282
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    • 1997
  • Thermal expension of the ball screw in semi-closed loop type CNC Lathe directly introduces positioning error along the travel axis. In this paper the thermal displacement of the ball screw is estimated by using macro variabie. The estimated dispacement of the ball screw are given to the NC in the form of pitch error compensation data into time interval. The thermal behaviour of the ball screw of the CNC Lasthe under the constant driving conditions was measured to examine the effectiveness of this compensation method. The results showed that thermal displacment of the ball screw were the positioning accuracy could be maintained to better then 6 .mu.m while using this compensation.