Non-linear free vibrations of a rotating beam carrying a tip mass with rotary inertia

American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP

Volumn 447, Issue , 2002, Pages 1-8

  Al Qaisia, Ahmad A ^a  

^a UNIVERSITY OF JORDAN   (Jordan)

Author keywords

[No Author keywords available]

Indexed keywords

NON-LINEAR FREE VIBRATIONS;

MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

BEAMS AND GIRDERS;

EID: 0036382489     PISSN: 0277027X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/PVP2002-1510     Document Type: Conference Paper

References (14)

1. AL-BEDOOR B.O, HAMDAN M.N. and AL-QAISIA A.A., 1999, "Nonlinear Natural Frequencies of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass". ASME Pressure Vessels and Piping Conference PVP99, Boston, MA, USA. August 1-5. PVP-Vol. 396, pp. 261.
2. AL-BEDOOR B.O., 1999, "Dynamic model of coupled shaft torsional and blade bending deformations in rotors", Computer Method in Applied Mechanics and Engineering, 169, pp.177-190.
3. BURTON T.D. and HAMDAN M.N., 1983, "Analysis of non-linear autonomous conservative oscillators using a time transformation method", Journal of Sound and Vibration, 87, pp.543-554.
4. EI-ABSY H. and SHABANEH A.A., 1997, "Geometric stiffness and stability of rigid body modes", Journal of Sound and Vibration, 207, pp.465-496.
5. HAERING W.J., RYAN R.R. and SCOTT R.A., 1994, "A new flexible body dynamic formation for beam structures undergoing large overall motion", Journal of Guidance, Control and Dynamics, 17, pp. 76-83.
6. HAMDAN M.N. and AL-BEDOOR B.O., 2001, "Non-linear free vibrations of a rotating flexible arm", Journal of Sound and Vibration, Vol. 242, pp. 839-853.
7. HAMDAN M.N. and SHABANEH N.H., 1997, "On the large amplitude free vibration of a restrained uniform beam carrying an intermediate mass", Journal of Sound and Vibration, 199, pp. 711-736.
8. KANE T.R., RYAN R.R. and BANERJEE A.K., 1987, "Dynamics of a cantilever beam attached to a moving base", Journal of Guidance, Control and Dynamics, 10, pp.139-151.
9. MITCHEL T. and BRUCH J.C., 1988, "Free vibrations of a flexible arm attached to a compliant finite hub", Transactions of American Society of Mechanical Engineers Journal of Vibration, Acoustics, Stress and Reliability in Design, 110,pp. 118-120.
10. MULEMULE S., SINGH G. and VENKATESWARA R., 1993, "Flexural vibrations of rotating tapered Timoshenko beams", Journal of Sound and Vibration, 160, pp.372-377.
11. ZAVODNEY L. and NAYFEH A.H., 1989," The nonlinear response of a slender beam carrying a lumped mass to a principal parametric excitation: theory and experiment", International Journal of Nonlinear Mechanics, Vol. 24, pp. 105-125.
12. SHAW S.A., 1988, "Chaotic dynamics of slender beam rotating about its longitudinal axis", Journal of Sound and Vibration, 124, pp. 329-343.
13. TADIKONDA S. S. and CHANG H. T., 1975, "On the geometric stiffness in flexible multibody dynamics", Journal of Vibration and Acoustics, 117, pp. 452-461.
14. YOKOYAMA T., 1988, "Free vibration characteristics of rotating Timoshenko beams", International Journal of Mechanical Science 30, pp. 743-755.