Dynamics of axially accelerating beams with multiple supports
| dc.contributor.author | Bağdatli S.M. | |
| dc.contributor.author | Özkaya E. | |
| dc.contributor.author | Öz H.R. | |
| dc.date.accessioned | 2024-07-22T08:18:55Z | |
| dc.date.available | 2024-07-22T08:18:55Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | This study represents the transverse vibrations of an axially accelerating Euler-Bernoulli beam resting on multiple simple supports. This is one of the examples of a system experiencing Coriolis acceleration component that renders such systems gyroscopic. A small harmonic variation with a constant mean value for the axial velocity is assumed in the problem. The immovable supports introduce nonlinear terms to the equations of motion due to stretching of neutral axis. The method of multiple scales is directly applied to the equations of motion obtained for the general case. Natural frequency equations are presented for multiple support case. Principal parametric resonances and combination resonances are discussed. Solvability conditions are presented for different cases. Stability analysis is conducted for the solutions; approximate stable and unstable regions are identified. Some numerical examples are presented to show the effects of axial speed, number of supports, and their locations. © 2013 The Author(s). | |
| dc.identifier.DOI-ID | 10.1007/s11071-013-0961-1 | |
| dc.identifier.issn | 0924090X | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17466 | |
| dc.language.iso | English | |
| dc.publisher | Kluwer Academic Publishers | |
| dc.rights | All Open Access; Hybrid Gold Open Access | |
| dc.subject | Nonlinear equations | |
| dc.subject | Perturbation techniques | |
| dc.subject | Axially accelerated beam | |
| dc.subject | Axially accelerating beam | |
| dc.subject | Coriolis acceleration | |
| dc.subject | Euler Bernoulli beams | |
| dc.subject | Method of multiple scale | |
| dc.subject | Perturbation method | |
| dc.subject | Principal parametric resonance | |
| dc.subject | Solvability conditions | |
| dc.subject | Equations of motion | |
| dc.title | Dynamics of axially accelerating beams with multiple supports | |
| dc.type | Article |