복합재 티모센코 보의 굽힘 비틀림 연성 진동에 대한 엄밀해

DOI QR코드

DOI QR Code

홍성욱;강병식;박중윤
Hong, Seong-Uk;Gang, Byeong-Sik;Park, Jung-Yun

  • 발행 : 2001.10.01

초록

This paper proposes a dynamic analysis method for obtaining exact solutions of composite Timoshenko beams, which are inherently subjected to both the bending , and torsional vibrations. In this paper, the bending-torsion coupled vibration of composite Timoshenko beam is rigorously modelled and analyzed. Two numerical examples are provided to validate and illustrate the bending-torsion coupled vibration of composite Timoshenko beam structure. The numerical examples prove that the proposed method is of great use for the dynamic analysis of dynamic structures composed of multiply connected composite Timoshenko beams.

키워드

복합재 티모센코 보;엄밀한 동적 요소;굽힘-비틀림 연성 진동

참고문헌

  1. Bassiouni, A.S., Gad-Elrab, R.M., Elmahby, T.H., 1999, 'Dynamic analysis for laminated compostie beams,' Composite Structures, Vol. 44, pp. 81-87 https://doi.org/10.1016/S0263-8223(98)00057-9
  2. Banerjee, J. R. and Williams, F. W., 1996, 'Exact Dynamics Stiffness Matrix for Composite Timoshenko Beams with Applications,' Journal of Sound and Vibration, Vol. 194, No. 4, pp. 573-585 https://doi.org/10.1006/jsvi.1996.0378
  3. Hong, S.-W. and Kim, J.-W., 1999, 'Modal Analysis of Multi-Span Timoshenko Beams Connected or Supported by Resilient Joints with Damping,' Journal of Sound and Vibration, Vol. 227, No. 4, pp. 787-806 https://doi.org/10.1006/jsvi.1999.2385
  4. 홍성욱, 김종욱, 1999, '여러 스팬을 갖는 티모센코 보 구조물의 이동하중에 의한 진동해석,' 대한기계학회논문집 A권, Vol. 23, No. 11, pp. 2058-2066
  5. Matlab Reference Guide, The Math Works Inc., 2000
  6. Yildirim, V., 1999, 'Rotary Inertia, Axial and Shear Deformation Effects on the In-Plane Natural Frequencies of Symmetric Cross-ply laminated cir.cular arches,' Journal of Sound and Vibration, Vol. 224, No. 4, pp. 575-589 https://doi.org/10.1006/jsvi.1999.2201
  7. Hodges, D. H., Atilgan, A. R., Fulton, M. V. and Rehfield, L. W., 1991, 'Free Vibration Analysis of Composite Beams,' Journal of the American Helicopter Society, Vol. 36, pp. 36-47
  8. Abramovich, H., 1992, 'Shear Deformation and Rotatory Inertia Effects of Vibrating Composite Beams,' Composite Structures, Vol. 20, pp. 165-173 https://doi.org/10.1016/0263-8223(92)90023-6
  9. Teoh, L. S. and Huang, C. C., 1977, 'The Vibration of Beams of Fiber Reinforced Material,' Journal of Sound and Vibration, Vol. 51, No. 4, pp. 467-473 https://doi.org/10.1016/S0022-460X(77)80044-8
  10. Teh, K. K. and Huang, C. C., 1979, 'The Vibration of Generally Orthotropic Beams, a Finite Element Approach,' Journal of Sound and Vibration, Vol. 62, No. 2, pp. 195-206 https://doi.org/10.1016/0022-460X(79)90021-X
  11. Suresh, J. K., Venkatesan, C.;Ramamurti, V., 1990, 'Structural Dynamic Analysis of Composite Beams,' Journal of Sound and Vibration, Vol. 143, No. 3, pp. 503-519 https://doi.org/10.1016/0022-460X(90)90739-M
  12. Chandrashekhara, K., Krishanamurthy, K. and Roy, S., 1989, 'Free Vibration of Composite Beams Including Rotatory Inertia and Shear Deformation,' Composite Structures, Vol. 14, pp. 269-279 https://doi.org/10.1016/0263-8223(90)90010-C
  13. Abarcar, R. B. and Cunniff, P. F., 1972, 'The Vibration of Cantilever Beams of Fiber Reinforced Material,' Journal of Composite Materials, Vol. 6, pp. 504-517 https://doi.org/10.1177/002199837200600306