Stability and bifurcation analysis of a modified geometrically nonlinear orthotropic Jeffcott model with internal damping

Nonlinear Dynamics

Volumn 42, Issue 2, 2005, Pages 137-163

  Valverde, J ^a   Escalona, J L ^a   Freire, E ^a   Dominguez J ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Internal damping; Multibody dynamics model; Nonlinear elasticity; Nonlinear Jeffcott model; Stability and bifurcation analysis

Indexed keywords

COMPUTER SIMULATION; DAMPING; EQUATIONS OF MOTION; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; ROTORS;

INTERNAL DAMPING; MULTIBODY DYNAMICS MODEL; NONLINEAR ELASTICITY; NONLINEAR JEFFCOTT MODEL; SHORT ELECTRODYNAMIC TETHER (SET); STABILITY AND BIFURCATION ANALYSIS;

NONLINEAR SYSTEMS;

EID: 26844510770     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-2365-3     Document Type: Article

References (17)

1. Valverde, J., Escalona, J. L., Mayo, J., and Dominguez, J., 'Dynamic analysis of a light structure in outer space: Short Electrodynamic Tether', Multibody System Dynamics 10(1), 2003, 125-146.
2. Cosmo, M. L. and Lorenzini, E. C., Tethers in Space Handbook, 3rd edn., prepared for NASA/MSCFC by Smithsonian Astrophysical Observatory, NASA Marshall Space Flight Center, Cambridge, MA, 1997.
3. Ahedo, E. and Sanmartín, J. R., 'Analysis of bare-tether systems for deorbiting low-Earth-orbit satellites', Journal of Spacecrafts and Rockets 39(2), 2002, 198-205.
4. Steiner, W., Zemann, J., Steindl, A., and Troger, H., 'Numerical study of large amplitude oscillations of a two-satellite continuous tether system with varying length', Acta Astronautica 35(9-11), 1995, 607-621.
5. Childs, D. W., Turbomachinery Rotordynamics, Wiley Interscience, New York, 1993.
6. Genin, J. and Maybee, J. S., 'Stability in the three dimensional whirling problem', International Journal of Non-Linear Mechanics 4, 1969, 205-215.
7. Bolotin, V. V., Dynamic Stability of Elastic Systems, Holden Day, San Francisco, 1964.
8. Shaw, J. and Shaw, S. W., 'Instabilities and bifurcations in a rotating shaft', Journal of Sound and Vibration 132(2), 1989, 227-244.
9. Chang, C. O. and Cheng, J. W., 'Non-linear dynamics and instability of a rotating shaft-disk system', Journal of Sound and Vibration 160(3), 1993, 433-454.
10. Valverde, J., Escalona, J. L., Dominguez, J., and Freire, E., 'Stability and dynamic analysis of the SET (Short Electrodynamic Tether)', in Proceedings of the ASMEDETC & CIE Conference (ISBN: 0-7918-3698-3), Chicago, IL, Sept. 2-6, 2003.
11. Novozhilov, V. V., Foundations of the Nonlinear Theory of Elasticity, Dover, New York, 1953.
12. Snowdon, J. C., Vibration and Shock in Damped Mechanical Systems, Wiley, New York, 1968.
13. Meirovitz, L., Methods of Analytical Dynamics, McGraw-Hill, 1970.
14. Roseau, M., Vibrations in Mechanical Systems, Springer-Verlag, Paris, 1984.
15. Strogatz, S. H., Nonlinear Dynamics and Chaos, Perseus Books, Cambridge, MA, 1994.
16. García de Jalon, J. and Bayo, E., Kinematic and Dynamic Simulation of Multibody Systems - the Real-Time Challenge, Springer-Verlag, New York, 1993.
17. Wu, S. and Haug, E. J., 'Geometric non-linear substructuring for dynamics of flexible mechanical systems', International Journal for Numerical Methods in Engineering 26, 1988, 2211-2226.