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The Geometrical Analysis of Vibration Modes and Frequency Responses of an Elastically Suspended Optical Disc Drive

탄성적으로 지지된 광디스크 드라이버의 진동모드와 주파수 응답의 기하적 해석

  • Published : 2000.02.01

Abstract

Via screw theory, a vibration mode can be geometrically interpreted as a pure rotation about the vibration center in a plane and as a twisting motion on a screw in a three dimensional space. In thi s paper, applying the conditions that can be used to diagonalize the stiffness matrix by a parallel axis congruence transformation, the vibration modes and frequency response of an elastically suspended optical disc drive have been analyzed. It is first shown that the system has one plane of symmetry, which enables one to decouple the complicated vibration modes into two sets of modes independent of each other. Having obtained the analytical solutions for the axes of vibrations, the frequency response for a given applied input force has been demonstrated. Most importantly, it has been explained that this research result could be used in the synthesis process of a linear vibration system in order to improve the frequency response.

Keywords

Stiffness Matrix;Center of Elasticity;Vibration Mode;Vibration Center;Axis of Vibration;Plane of Symmetry

References

  1. Blanchet, P., 1998, Linear Vibration Analysis Using Screw Theroy, Ph.D Dissertation, Georgia Institute of Technology
  2. Hunt, K., 1978, Kinematic Geometry of Mechanisms, Oxford University Press, pp. 304-330
  3. Griffis, M and Duffy, J., 1991, 'Kinestatic Control : Novel Theory for Simultaneously Regulating Force and Displacement,' J. of Mechanical Design, Vol. 113, pp. 508-515
  4. Lipkin, H. and Patterson, T., 1992, 'Geometrical Properties of Modeled Robot Elasticity: Part I - Decomposition,' Proc. of 1992 ASME Design Techanical Conference and Computers in Engineering Conference, DE-vol. 45, pp. 179-185
  5. Ciblak, N. and Lipkin, H., 1994, 'Centers of Stiffness, Compliance, and Elasticity in the Modeling of Robotic Ststems,' Proc. of 1994 ASME Design Technical Conference and Computers in Engineering Conference, De-vol. 72, pp. 185-195
  6. Blanchet, P. and Lipkin, H., 1996, 'Vibration Centers for Planar Motion,' Proc. of 1996 ASME Design Technical Conference and Computers in Engineering Conference
  7. 단병주, 최용제, 1998,'나선이론에 의한 진동해석 및 정보저장기기 설계에의 응용,' 대한기계학회 논문집, 제23권, 제2호, pp.155-165
  8. 단병주, 최용제, 1999,'대칭면을 갖는 진동계의 진동모드에 대한 기하학적 해석,' 대한기계학회논문집, 제24권 제1호, pp. 110-117
  9. 최용제, 1991, '나선이론에 의한 로봇의 운동 및 역학적 해석,' 대한기계학회지, 제31권, 제7호, pp. 616-625
  10. Kakizaki, T., 1990,'Effects of Pivot Bearings on Dynamic Characteristics of Rotary Actuator for Magnetic Disk Storage,' JSME(C), Vol. 56, No.531, pp. 2969-2975
  11. Ball. Sir R.S., 1900, A Treatise on the Theory of Screws, Cambridge University Press
  12. Dimentberg, F. M., 1965, The Screw Calculus and Its Application in Mechanics, Foregn Technology Division, Wright-Patterson Air Forces Base, Ohio, Document No.FTD-HT-23-1632-67
  13. Loncaric, J., 1985, Germetrical Analysis of Complication Mechanisms in Robotics, Ph.D Thesis, Harvard University