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Bending Vibration Analysis of a Rotating Cantilever Beam Employing Finite Element Method

유한 요소법을 사용한 회전 외팔보의 굽힘 진동 해석

  • Published : 2000.07.01

Abstract

A modelling method for the bending vibration analysis of rotating cantilever beams employing finite element method is presented in this paper. Different from the conventional modelling method in wh ich only Cartesian deformation variables are used, a non-Cartesian deformation variable is introduced and approximated to derive the equations of motion. Numerical results obtained by using the presented modelling method are compared to those obtained by using other methods in the related literature, and the accuracy of the presented method is verified through the comparison study. The presented modelling method is superior to other previous methods in a sense that several advantages of the previous methods are incorporated into the presented method.

Keywords

References

  1. Southwell, R. V. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A.R.C. Reports and Memoranda, No. 766
  2. Schilhansl, M. J., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' J. of Appl. Mech. Trans. Am. Soc. Mech. Engrs, 25, pp. 28-30
  3. Putter, S. and Manor, H., 1978, 'Natural Frequencies of Radial Rotating Beams,' J. Sound and Vibration, Vol. 56, pp. 175-185 https://doi.org/10.1016/S0022-460X(78)80013-3
  4. Hoa, S. V., 1979, 'Vibration of a Rotating Beam with Tip Mass,' J. Sound and Vibration, Vol. 67, pp. 369-381 https://doi.org/10.1016/0022-460X(79)90542-X
  5. Kuo, Y. H., Wu, T. H., and Lee, S. Y., 1994, 'Bending Vibration of a Rotating Non-uniform Beam with Tip Mass and an Elastically Restrained Root,' Computer & Structure, Vol. 22, No. 2, pp. 229-236 https://doi.org/10.1016/0045-7949(92)90206-F
  6. Yokoyama, T., 1988, 'Free Vibration Characteristics of Rotating Timoshenko Beams,' Int. J. of Mech. Sci., Vol. 30, No. 10, pp. 743-755 https://doi.org/10.1016/0020-7403(88)90039-2
  7. Simo, J. C. and Vu-Quoc, L, 1987, 'The Role of Non-linear Theories in Transient Analysis of Flexible Structures,' J. of Sound and Vibration, Vol. 119, No. 3, pp.487-508 https://doi.org/10.1016/0022-460X(87)90410-X
  8. Yoo, H. H. and Shin, S. H., 1998, 'Vibration Analysis of Rotating Cantilever Beams,' J. of Sound and Vibration, Vol. 212, No. 5, pp.807-828 https://doi.org/10.1006/jsvi.1997.1469
  9. Petyt, M., 1990, Introduction to Finite Element Vibration Analysis, Cambridge University Press
  10. Kane, T. R. and Levinson, D. A., 1985, Dynamics: Theory and Applications, McGraw Hill Book Co.