대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제33권12호
  • /
  • Pages.1410-1416
  • /
  • 2009
  • /
  • 1226-4873(pISSN)
  • /
  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지
DOI QR코드

DOI QR Code

경사 종동력과 끝질량을 갖는 크랙 보의 안정성 해석

Stability Analysis of Cracked Beams with Subtangential Follower Force and Tip Mass

  • 손인수 (동의대학교 기계공학과) ;
  • 윤한익 (동의대학교 기계공학과) ;
  • 노태우 (동의대학교 대학원 기계공학과)
  • 발행 : 2009.12.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the purpose is to investigate the stability and variation of natural frequency of a cracked cantilever beams subjected to follower force and tip mass. In addition, an analysis of the flutter instability(flutter critical follower force) of a cracked cantilever beam as slenderness ratio and crack severity is investigated. The governing differential equations of a Timoshenko beam subjected to an end tangential follower force is derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. Finally, the influence of the slenderness ratio and crack severity on the critical follower force, stability and the natural frequency of a beam are investigated.

키워드

참고문헌

  1. Rao, B. N. and Rao, G. V., 1988, "Stability of a Cantilever Column Resting on an Elastic Foundation Subjected to a Subtangential Follower Force at Its Free End," Journal of Sound and Vibration, Vol. 125, No. 3, pp. 570~577 https://doi.org/10.1016/0022-460X(88)90263-5
  2. Saito, H. and Otomi, K., 1979, "Vibration and Stability of Elastically Supported Beams Carrying an Attached Mass under Axial and Tangental Loads," Journal of Sound and Vibration, Vol. 62, No. 2, pp. 257~266 https://doi.org/10.1016/0022-460X(79)90025-7
  3. Sato, K., 1996, "Instability of a Calmped- Elastically Restrained Timoshenko Column Carrying a Tip Load, Subjected to a Follower Force," Journal of Sound and Vibration, Vol. 194, No. 4, pp. 623~630 https://doi.org/10.1006/jsvi.1996.0381
  4. Yoon, H. I., Lim, S. H. and Yu, J. S., 1997, "Stability of Beck's Column with a Rotatory Spring Restraining Its Free End," Transactions of KSME A, Vol. 21, No. 9, pp.1385~1391
  5. Lee, S. Y., Kuo, Y. H. and Lin, F. Y., 1992, "Stability of a Timoshenko Beam Resting on a Winkler Elastic Foundation," Journal of Sound and Vibration, Vol. 153, No. 2, pp. 193~202 https://doi.org/10.1016/S0022-460X(05)80001-X
  6. Rosa, M. A., 1995, "Free Vibrations of Timoshenko Beams on Two-parameter Elastic Foundation," Computers and Structures, Vol. 57, No. 1, pp. 151~156 https://doi.org/10.1016/0045-7949(94)00594-S
  7. Son, I. S. and Yoon, H. I., 2008, "Effects of Crack on Stability of Timoshenko Beams Subjected to Subtangential Follower Force," KSNVE, Vol. 18, No. 12, pp. 1327~1334 https://doi.org/10.5050/KSNVN.2008.18.12.1327
  8. Son, I. S., Yoon, H. I. and Ahn, T. S., 2007, "Stability Analysis of Cracked Cantilever Beam with Tip Mass and Follower Force," KSNVE, Vol. 17, No. 7, pp. 605~610 https://doi.org/10.5050/KSNVN.2007.17.7.605
  9. Meirovitch, L., 1967, Analytical Methods in Vibration, The Macmillan Company, New York, Chapter 5