Non-linear vibrations and stability of an axially moving beam with time-dependent velocity
| dc.contributor.author | Öz H.R. | |
| dc.contributor.author | Pakdemirli M. | |
| dc.contributor.author | Boyaci H. | |
| dc.date.accessioned | 2025-04-10T11:18:11Z | |
| dc.date.available | 2025-04-10T11:18:11Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | Non-linear vibrations of an axially moving beam are investigated. The non-linearity is introduced by including stretching effect of the beam. The beam is moving with a time-dependent velocity, namely a harmonically varying velocity about a constant mean velocity. Approximate solutions are sought using the method of multiple scales. Depending on the variation of velocity, three distinct cases arise: (i) frequency away from zero or two times the natural frequency, (ii) frequency close to zero, (iii) frequency close to two times the natural frequency. Amplitude-dependent non-linear frequencies are derived. For frequencies close to two times the natural frequency, stability and bifurcations of steady-state solutions are analyzed. For frequencies close to zero, it is shown that the amplitudes are bounded in time. | |
| dc.identifier.DOI-ID | 10.1016/S0020-7462(99)00090-6 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/53267 | |
| dc.publisher | Elsevier Science Ltd | |
| dc.title | Non-linear vibrations and stability of an axially moving beam with time-dependent velocity | |
| dc.type | Article |