Journal of the Korea Academia-Industrial cooperation Society (한국산학기술학회논문지)

The Korea Academia-Industrial cooperation Society (한국산학기술학회)
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Dynamic Analysis of a Rigid Body Traveling on the Rotating Shaft

회전축을 따라 이동하는 강체의 동해석

  • Park, Yong-Suk (Dept of Mechanical Engineering, Inha Technical College) ;
  • Hong, Sung-Chul (School of Mechanical and Automotive Engineering, Halla University)
  • 박용석 (인하공업전문대학 기계과) ;
  • 홍성철 (한라대학교 기계자동차공학부)
  • Published : 2010.02.28
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Abstract

The analysis of rigid body traveling along the rotating Timoshenko shaft has been a topic of interest. The problem arose from the observations that as a structure is subjected to moving loads, dynamic deflection as well as stresses can be significantly higher than those for static loads. The establishment of analytical method for the development and maintenance of performance is required in the fields of the machining operations and the position control using ball screw. The equations of motion for the rotating shaft subjected to the two moving forces are derived by using Hamilton's principle. Influence of system parameters such as the speed ratio, the mass ratio and the Rayleigh coefficient is discussed on the response of the moving system.

이동하중을 받는 구조물의 동적 거동은 이동물체의 속도에 따라 정하중을 받을때 보다 큰 처짐을 나타내게 되어 구조물의 설계에 중요한 영향을 미치게 된다. 기계가공이나 볼스크류우를 이용한 위치제어분야에서 개선 및 성능 유지를 위한 해석의 기법이 요구되고 있다. 회전하는 티모센코축을 따라 이동하는 두 개의 이동하중을 받는 시스템에 대한 운동방정식이 Hamilton의 원리로 유도되었다. 무차원화된 속도비, 질량비, Rayleigh 계수비의 영향이 시스템의 응답에 미치는 영향을 해석하였다.

Keywords

References

  1. Fryba L., "Vibration of Solids and Structures Under Moving Loads," Noordhoff International, Groningen, Netherlands, 1972.
  2. Ting, E. C., Genin, J. and Ginsberg, J. H., "A General Algorithm for Moving Mass Problems," J. of Sound and Vibration, Vol.33, No.1, pp. 49-58, 1974. https://doi.org/10.1016/S0022-460X(74)80072-6
  3. Akin, J. E. and Mofied, M., "Numerical Solution for Response of Beam with Moving Mass," Journal of Structure Engineering, Vol. 115, No. 1, pp. 120-131, 1989. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:1(120)
  4. Cifuentes, A. O., "Dynamic Response of a Beam Excited by a Moving Mass," Finite Elements in Analysis and Design, Vol. 5, pp. 49-58, 1989.
  5. Stanisic, M. M., "On a New Theory of the Dynamic Behavior of the Structures Carrying Moving Masses," Ingenieur-Archive, Vol. 56, pp. 175-185, 1985.
  6. Katz R., Lee C. W. Ulsoy A. G., Scott R.A., "The dynamic response of a rotating shaft subject to a moving load," Journal of Sound and Vibration 122 (1) 131-148, 1988. https://doi.org/10.1016/S0022-460X(88)80011-7
  7. Lee H. P., "Dynamic response of a rotating Timoshenko shaft subject to axial forces and moving loads," Journal of Sound and Vibration 181 (1) 169-177, 1995. https://doi.org/10.1006/jsvi.1995.0132
  8. Lee H. P., "Dynamic response of a Timoshenko beam subject to a moving mass," Journal of Sound and Vibration 198 (2) 249-256, 1996. https://doi.org/10.1006/jsvi.1996.0567
  9. Gu U. C., Cheng C. C., "Vibratioin analysis of a high-speed spindle under the action of a moving mass," Journal of Sound and Vibration, article in press, 2004.
  10. Park, Y. S. and Hong, S. C., "Nondimensional Parameter Study of a Timoshenko Rotating Shaft Subjected to Moving Mass and Compressive Axial Forces," Transaction of KSNVE, Vol.17, No.12, pp.1201-1207, 2007.
  11. Toshiaki Y., "High Performance Technology in Ball Screw," Journal of the Japan Society of Precision Engineering, Vol. 61, No.3, pp. 333-338, 1995. https://doi.org/10.2493/jjspe.61.333
  12. Park, Y. S. and Hong, S. C., "Vibration Analysis of a Moving Mass Travelling on the Timoshenko Rotating Shaft," Journal of the Korea Academia-Industrial cooperation Society, Vol.9, No.4, pp.859-864, 2008. https://doi.org/10.5762/KAIS.2008.9.4.859
  13. Lin, Y. H. and Trethewey, M. W., "Finite Element Analysis of Elastic Beams Subjected to Moving Dynamic Loads," Journal of Sound and Vibration, 136(2), pp. 323-342, 1990. https://doi.org/10.1016/0022-460X(90)90860-3
  14. Meirovitch, L., Computational Methods in Structural Dynamics, Sijith & Noordhoff, 1980.