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http://dx.doi.org/10.5050/KSNVN.2009.19.4.363

Vibration Analysis of a Rotating Cantilever Beam Having Tapered Cross Section  

Lee, Jun-Hee (한양대학교 대학원 기계공학과)
Yoo, Hong-Hee (한양대학교 기계공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.19, no.4, 2009 , pp. 363-369 More about this Journal
Abstract
A vibration analysis for a rotating cantilever beam with the tapered cross section is presented in this study. The stiffness changes due to the stretching caused by centrifugal inertia forces when a tapered cantilever beam rotates about the axis perpendicular to its longitudinal axis. When the cross section of cantilever beam are assumed to decrease constantly, the mass and stiffness also change according to the variation of the thickness and width ratio of a tapered cantilever beam. Such phenomena result in variations of natural frequencies and mode shapes. Therefore it is important to the equations of motion in order to be obtained accurate predictions of these variations. The equations of motion of a rotating tapered cantilever beam are derived by using hybrid deformation variable modeling method and numerical results are obtained along with the angular velocity and the thickness and width ratio.
Keywords
Vibration Analysis; Rotating Cantilever Beam; Tapered Cross Section; Hybrid Deformation Variable Modeling;
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1 Lee, S. Y. and Kuo, Y. H., 1991, 'Elastic Stability of Non-uniform Columns,' Journal of Sound and Vibration, Vol. 148, No. 1, pp. 11-24   DOI   ScienceOn
2 Rossi, R. E., Laura, P. A. and Gutierrez, R. H., 1990, 'A Note on Transverse Vibrations of a Timoshenko Beam of Non-uniform Thickness Clampes at One End and Carrying a Concentrated Mass at the Other,' Journal of Sound and Vibration, Vol. 143, No. 3, pp. 491-502   DOI   ScienceOn
3 Yoo, H. H., 1991, 'A Linear Dynamic Modeling Using Hybrid Deformation Variables for Rotating Structures,' Journal of The Korean Society for Aeronautical and Space Sciences, Vol. 19, No. 3, pp. 32-39
4 Yoo, H. H., 1998, 'Vibration Analysis of Rotating Cantilever Beams,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 8, No. 5, pp. 765-774
5 Buffinton, K. and Kane, T., 1985, 'Dynamics of a Beam Moving Over Supports,' International Journal of Solids and Structures, Vol. 21, No. 7, pp. 617-643   DOI   ScienceOn
6 Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A.R.C. Reports and Memoranda No. 766
7 Schilhansl, M., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' J. of Appl. Mech. Trans. Am. Soc. Mech. Engrs, 25, pp. 28-30
8 Putter, S. and Manor, H., 1978, 'Natural Frequencies of Radial Rotating Beams,' J. Sound and Vibration, Vol. 56, No.2, pp. 175-185   DOI   ScienceOn
9 Kane, T., Ryan, R. and Banerjee, A., 1987, 'Dynamics of Cantilever Beam Attached to a Moving Base,' Journal of Guidance, Control and Dynamics, Vol. 10, No. 2, pp. 139-151   DOI   ScienceOn
10 Lai, S., 1994, 'Nonlinear Finite Element modeling of a High Speed Rotating Timoshenko Beam Structure,' International Journal of Mechanical Science, Vol. 36, No. 9, pp. 849-86   DOI   ScienceOn