Attractors of a rotating viscoelastic beam

International Journal of Non-Linear Mechanics

Volumn 38, Issue 5, 2003, Pages 739-751

  Abolghasemi, M ^a   Jalali, M A ^b  

^a AEROSPACE RESEARCH INSTITUTE   (Iran)

^b INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

Author keywords

Chaos; Limit cycles; Non linear oscillations; Perturbation methods

Indexed keywords

BEAMS AND GIRDERS; BIFURCATION (MATHEMATICS); CHAOS THEORY; EQUATIONS OF MOTION; GALERKIN METHODS; MECHANICS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; VISCOELASTICITY;

VISCOELASTIC BEAMS;

OSCILLATIONS;

EID: 0037410863     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(01)00130-5     Document Type: Article

References (15)

1. Padfield G.D. Helicopter Flight Dynamics. 1996;Blackwell Science, Cambridge.
2. Friedmann P.P., Millott T.A. Vibration reduction in rotorcraft using active control: A comparison of various approaches. J. Guidance, Control Dyn. 18:1995;664.
3. Meirovitch L. Hybrid state equations of motion for flexible bodies in terms of quasicoordinates. J. Guidance, Control Dyn. 14:1991;1008.
4. Meirovitch L., Stemple T. Hybrid equations of motion for flexible multibody systems using quasicoordinates. J. Guidance, Control Dyn. 18:1995;678.
5. Jalali M.A., Mehri B. Periodicity and chaos in a flexible crank-rocker mechanism. Int. J. Non-Linear Mech. 34:1999;1103.
6. Esmailzadeh E., Jalali M.A. Nonlinear oscillations of viscoelastic rectangular plates. Nonlinear Dyn. 18:1999;311.
7. Leishman J.G. Principles of Helicopter Aerodynamics. 2000;Cambridge University Press, Cambridge.
8. Chia C.Y. Nonlinear Analysis of Plates. 1980;McGraw-Hill, New York.
9. Fung Y.C. Foundations of Solid Mechanics. 1965;Prentice-Hall, Englewood Cliffs, NJ.
10. Argyris J., Faust G., Haase M. An Exploration of Chaos. 1994;Elsevier, Amsterdam.
11. Reddy J.N. Applied Functional Analysis and Variational Methods in Engineering. 1986;McGraw-Hill, New York.
12. Verhulst F. Nonlinear Differential Equations and Dynamical Systems. 1990;Springer, Berlin.
13. Siegel C.L., Moser J. Lectures on Celestial Mechanics. 1971;Springer, Berlin.
14. Holmes P.J. A nonlinear oscillator with a strange attractor. Philos. Trans. R. Soc. London. 292(1394):1979;419.
15. Hall II E.K., Hanagud S.V. Control of nonlinear structural dynamic systems: chaotic oscillations. J. Guidance, Control Dyn. 16:1993;470.