The 1:1 internally resonant response of a cantilever beam attached to a rotating body

Journal of Sound and Vibration

Volumn 211, Issue 2, 1998, Pages 179-194

  Murphy, K D ^a   Lee, C L ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011820191     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1341     Document Type: Article

References (16)

1. D. H. HODGES and E. H. DOWELL 1974 NASA Technical Note D-7818. Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades.
2. J. C. SIMO and L. VU-QUOC 1986 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 53, 849-854. On the dynamics of flexible beams under large overall motions - the plane case: part I.
3. H. H. YOO, R. R. RYAN and R. A. SCOTT 1995 Journal of Sound and Vibration 181, 261-278. Dynamics of flexible beams undergoing overall motions.
4. K. R. V. KAZA and R. G. KVATERNIK 1977 American Institute of Aeronautics and Astronautics Journal 15(6), 871-874. Nonlinear flap-lag-axial equations of a rotating beam.
5. I. SHARF 1995 Journal of Guidance, Control, and Dynamics 18(4), 882-890. Geometric stiffening in multibody dynamics formulations.
6. S. HANAGUD and S. SARKAR 1989 Journal of Guidance, Control, and Dynamics 12(3) 438-441. Problem of the dynamics of a cantilever beam attached to a moving base.
7. T. R. KANE, R. R. RYAN and A. K. BANERJEE 1987 Journal of Guidance, Control, and Dynamics 10, 139-151. Dynamics of cantilever beam attached to a moving base.
8. D. J. SEGALMAN and C. R. DOHRMANN 1996 Journal of Vibration and Acoustics 118, 313-317. A method for calculating the dynamics of rotating flexible structures, part 1: derivation.
9. M. R. M. CRESPO DA SILVA and C. L. ZARETZKY 1990 International Journal of Non-Linear Mechanics 25(2) 227-239. Non-linear modal coupling in planar and non-planar responses of inextensible beams.
10. A. G. HADDOW, A. D. S. BARR and D. T. MOOK 1984 Journal of Sound and Vibration 97, 451-473. Theoretical and experimental study of modal interactions in a two degree of freedom system.
11. C. L. LEE and N. C. PERKINS 1995 Nonlinear Dynamics 8, 45-63. Three-dimensional oscillations of suspended cables involving simultaneous internal resonances.
12. P. V. BAYLY and K. D. MURPHY 1998 Journal of the Acoustical Society of America (submitted). Coupling between dissimilar modes in an asymmetrically-forced string.
13. C. L. LEE, M. F. AL-SALEM and T. G. WOEHRLE 1998 Journal of Applied Mechanics (submitted). Free vibration of a cantilever beam attached to a rotating body.
14. W. Y. TSENG and J. DUGUNDJI 1970 Journal of Applied Mechanics 37, 292-297. Nonlinear vibrations of a a beam under harmonic excitation.
15. W. Y. TSENG and J. DUGUNDJI 1971 Journal of Applied Mechanics 38, 467-476. Nonlinear vibrations of a buckled beam under harmonic excitation.
16. Z. RAHMAN and T. D. BURTON 1989 Journal of Sound and Vibration 133, 369-379. On higher order methods of multiple scales in non-linear oscillations - periodic steady state response.