Nonlinear transversal vibration and stability of an axially moving viscoelastic string supported by a partial viscoelastic guide

Journal of Sound and Vibration

Volumn 314, Issue 3-5, 2008, Pages 757-774

  Ghayesh, Mergen H ^a  

^a TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; FREQUENCY RESPONSE; HARMONIC GENERATION; MECHANICAL STABILITY; PARTIAL DIFFERENTIAL EQUATIONS; STRING THEORY; VELOCITY; VISCOELASTICITY;

BIFURCATION POINTS; TRANSVERSAL NONLINEAR VIBRATIONS; VISCOELASTIC STRINGS; VISCOUS DAMPERS;

VIBRATIONS (MECHANICAL);

EID: 43049103745     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2008.01.030     Document Type: Article

References (27)

1. Wickert J.A. Non-linear vibration of a traveling tensioned beam. International Journal of Non-linear Mechanics 27 (1992) 503-517
2. Stylianou M., and Tabarrok B. Finite element analysis of an axially moving beam-part I: time integration. Journal of Sound and Vibration 178 (1994) 433-453
3. Stylianou M., and Tabarrok B. Finite element analysis of an axially moving beam-part II: stability analysis. Journal of Sound and Vibration 178 (1994) 455-481
4. Oz H.R., Pakdemirli M., and Ozkaya E. Transition behavior from string to beam for an axially accelerating material. Journal of Sound and Vibration 215 3 (1994) 517-578
5. Pakdemirli M., Ulsoy A.G., and Ceranoglu A. Transverse vibration of an axially accelerating string. Journal of Sound and Vibration 169 (1994) 179-196
6. Pakdemirli M., and Ozkaya E. Approximate boundary layer solution of a moving beam problem. Mathematics in Computer Applications 2 3 (1998) 93-100
7. Pellicano F., and Zirilli F. Boundary layers and non-linear vibrations in an axially moving beam. International Journal of Non-linear Mechanics 33 4 (1998) 691-711
8. Parker R.G. Supercritical speed stability of the trivial equilibrium of an axially-moving string on an elastic foundation. Journal of Sound and Vibration 221 2 (1999) 205-219
9. Chakraborty G., Mallik A.K., and Hatwal H. Non-linear vibration of a traveling beam. International Journal of Non-linear Mechanics 34 (1999) 655-670
10. Oz H.R., and Pakdemirli M. Vibrations of an axially moving beam with time-dependent velocity. Journal of Sound and Vibration 27 (1999) 239-257
11. Oz H.R., Pakdemirli M., and Boyaci H. Non-linear vibrations and stability of an axially moving beam with time-dependent velocity. International Journal of Non-linear Mechanics 36 (2001) 107-115
12. Chen L.Q., Zhang N.H., and Zu J.W. Bifurcation and chaos of an axially moving viscoelastic string. Mechanics Research Communications 81 (2002) 81-90
13. Shin C., Chung J., and Kim W. Dynamic characteristics of the out-of-plane vibration for an axially moving membrane. Journal of Sound and Vibration 286 (2005) 1019-1031
14. Zhang N.H., and Chen L.Q. Non-linear dynamical analysis of axially moving viscoelastic string. Chaos, Solitons and Fractals 24 (2005) 1065-1074
15. Chen L.Q., and Zhao W.J. A conserved quantity and the stability of axially moving non-linear beams. Journal of Sound and Vibration 286 (2005) 663-668
16. Chen L.Q., Zhabo W.J., and Zu J.W. Simulation of transverse vibrations of an axially moving string: a modified difference approach. Applied Mathematics and Computation 166 (2005) 596-607
17. Chen L.Q., and Yang X.D. 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
18. Kartik A., and Wickert J.A. Vibration and guiding of moving media with edge wave imperfections. Journal of Sound and Vibration 291 (2006) 419-436
19. Chen L.Q., and Yang X.D. Nonlinear free transverse vibration of an axially moving beam: comparison of two models. Journal of Sound and Vibration 229 (2007) 348-354
20. Marynowski K., and Kapitaniak T. Zener internal damping in modeling of axially moving viscoelastic beam with time-dependent tension. International Journal of Non-linear Mechanics 42 (2007) 118-131
21. Ha J.L., Chang J.R., and Fung R.F. Nonlinear dynamic behavior of a moving viscoelastic string undergoing three-dimensional vibration. Chaos, Solitons and Fractals 33 (2007) 1117-1134
22. M.H. Ghayesh, Non-linear vibration and stability comparison of two dynamic models of axially moving Timoshenko beams, European Journal of Mechanics, submitted for publication.
23. M.H. Ghayesh, S.E. Khadem, Rotary inertia and temperature effects on non-linear vibration, steady-state response and stability of an axially moving beam with time-dependent velocity, International Journal of Mechanical Sciences, accepted for publication.
24. Thomsen J.J. Vibrations and Stability (2003), Springer, Germany
25. Nayfeh A.H. Problems in Perturbation (1993), Wiley, New York
26. Nayfeh A.H., and Mook D.T. Nonlinear Oscillation (1979), Wiley, New York
27. Nayfeh A.H. Introduction to Perturbation Techniques (1981), Wiley, New York