On the natural frequencies, complex mode functions, and critical speeds of axially traveling laminated beams: Parametric study

Acta Mechanica Solida Sinica

Volumn 24, Issue 4, 2011, Pages 373-382

  Ghayesh, Mergen H ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

critical speeds; gyroscopic systems; vibration

Indexed keywords

ANALYTICAL EXPRESSIONS; COMPLEX MODES; CRITICAL SPEED; EQUATION OF MOTION; GYROSCOPIC SYSTEM; LAMINATED BEAMS; LAMINATED COMPOSITE BEAM; LAMINATED SYSTEMS; PARAMETRIC STUDY; SPATIAL MODES; VIBRATION CHARACTERISTICS;

DYNAMIC RESPONSE; GYROSCOPES; LAMINATED COMPOSITES; LAMINATING; NATURAL FREQUENCIES;

EQUATIONS OF MOTION;

EID: 80052397498     PISSN: 08949166     EISSN: 18602134     Source Type: Journal    
DOI: 10.1016/S0894-9166(11)60038-4     Document Type: Article

References (34)

1. J.A. Wickert, C.D. Mote Current research on the vibration and stability of moving materials The Shock and Vibration Digest 20 1988 3 13
2. L.Q. Chen Analysis and control of transverse vibrations of axially moving strings Applied Mechanics Reviews 20 2005 91 116
3. Baker, A.; Dutton, S. and Kelly, D.; Composite Materials for Aircraft Structures. AIAA Education Series, 2004.
4. A.L. Thurman, C.D. Mote Free, periodic, nonlinear oscillation of an axially moving strip ASME Journal of Applied Mechanics 36 1969 83 91
5. B. Tabarrok, C.M. Leech, Y.I. Kim On the dynamics of an axially moving beam Journal of the Franklin Institute 297 1974 201 220
6. S.-J. Hwang, N.C. Perkins Supercritical stability of an axially moving beam, Part 2: Vibration and stability analysis Journal of Sound and Vibration 154 3 1992 397 409
7. R.G. Parker Supercritical speed stability of the trivial equilibrium of an axially-moving string on an elastic foundation Journal of Sound and Vibration 221 1999 205 219 (Pubitemid 129550504)
8. F. Pellicano, F. Vestroni Nonlinear dynamics and bifurcations of an axially moving beam Journal of Vibration and Acoustics 122 2000 21 30
9. G. Suweken, W.T.V. Horssen On the weakly nonlinear, transversal vibrations of a conveyor belt with a low and time-varying velocity Nonlinear Dynamics 31 2003 197 223
10. H. Koivurova The numerical study of the nonlinear dynamic of a light, axially moving string Journal of Sound and Vibration 320 2009 373 385
11. K. Hedrih Transversal vibrations of axially moving sandwich belts Archive of Applied Mechanics 77 2007 523 539 (Pubitemid 46828747)
12. M. Pakdemirli, A.G. Ulsoy, A. Ceranoglu Transverse vibration of an axially accelerating string Journal of Sound and Vibration 169 1994 179 196
13. M. Pakdemirli, A.G. Ulsoy Stability analysis of an axially accelerating string Journal of Sound and Vibration 203 1997 815 832 (Pubitemid 127401204)
14. M. Pakdemirli, E. Ozkaya Approximate boundary layer solution of a moving beam problem Mathematical and Computational Applications 3 1998 93 100
15. H.R. Öz, M. Pakdemirli Vibrations of an axially moving beam with time dependent velocity Journal of Sound and Vibration 227 1999 239 257 (Pubitemid 129533108)
16. N.H. Zhang, L.Q. Chen Nonlinear dynamical analysis of axially moving viscoelastic string Chaos, Solitons and Fractals 24 2005 1065 1074
17. N.H. Zhang Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenftmctions Chaos, Solitons and Fractals 35 2008 291 302
18. L.Q. Chen, X.D. Yang Steady state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models International Journal of Solids and Structures 42 2005 37 50
19. L.Q. Chen, X.D. Yang Vibration and stability of an axially moving viscoelastic beam with hybrid supports European Journal of Mechanics 25 2006 996 1008
20. L.Q. Chen, Y.Q. Tang, C.W. Lim Dynamic stability in parametric resonance of axially accelerating viscoelastic Timoshenko beams Journal of Sound and Vibration 329 2010 547 565
21. L.Q. Chen, W.J. Zhao A conserved quantity and the stability of axially moving nonlinear beams Journal of Sound and Vibration 286 2005 663 668
22. L.Q. Chen, W.J. Zhao, J.W. Zu Simulation of transverse vibrations of an axially moving string: a modified difference approach Applied Mathematics and Computation 166 2005 596 607 (Pubitemid 40821844)
23. L.Q. Chen The energetics and the stability of axially moving string undergoing planar motion International Journal of Engineering Science 44 2006 1346 1352
24. Y.Q. Tang, L.Q. Chen, X.D. Yang Parametric resonance of axially moving Timoshenko beams with time-dependent speed Nonlinear Dynamics 58 2009 715 724
25. Y.Q. Tang, L.Q. Chen, X.D. Yang Non-linear vibrations of axially moving Timoshenko beams under weak and strong external excitations Journal of Sound and Vibration 320 2009 1078 1099
26. X.D. Yang, Y.Q. Tang, L.Q. Chen, C.W. Lim Dynamic stability of axially accelerating Timoshenko beams: averaging method European Journal of Mechanics A/Solid 29 2010 81 90
27. M.H. Ghayesh Nonlinear transversal vibration and stability of an axially moving viscoelastic string supported by a partial viscoelastic guide Journal of Sound and Vibration 314 2008 757 774
28. M.H. Ghayesh, S. Balar Non-linear parametric vibration and stability of axially moving visco-elastic Rayleigh beams International Journal of Solids and Structures 45 2008 6451 6467
29. M.H. Ghayesh Stability characteristics of an axially accelerating string supported by an elastic foundation Mechanism and Machine Theory 44 2009 1964 1979
30. M.H. Ghayesh, S. Balar Non-linear parametric vibration and stability analysis for two dynamic models of axially moving Timoshenko beams Applied Mathematical Modelling 34 2010 2850 2859
31. M.H. Ghayesh Parametric vibrations and stability of an axially accelerating string guided by a non-linear elastic foundation International Journal of Non-Linear Mechanics 45 2010 382 394
32. M.H. Ghayesh, N. Moradian Nonlinear dynamic response of axially moving, stretched viscoelastic strings Archive of Applied Mechanics 81 2011 781 799
33. M.H. Ghayesh, M. Yourdkhani, S. Balar, T. Reid Vibrations and stability of axially traveling laminated beams Applied Mathematics and Computation 217 2010 545 556
34. B.D. Agarwal, L.J. Broutman, K. Chandrashekhara Analysis and Performance of Fiber Composites 2006 Wiley New York