Application of fractional calculus in the dynamics of beams
| dc.contributor.author | Demir, DD | |
| dc.contributor.author | Bildik, N | |
| dc.contributor.author | Sinir, BG | |
| dc.date.accessioned | 2024-07-18T11:49:57Z | |
| dc.date.available | 2024-07-18T11:49:57Z | |
| dc.description.abstract | This paper deals with a viscoelastic beam obeying a fractional differentiation constitutive law. The governing equation is derived from the viscoelastic material model. The equation of motion is solved by using the method of multiple scales. Additionally, principal parametric resonances are investigated in detail. The stability boundaries are also analytically determined from the solvability condition. It is concluded that the order and the coefficient of the fractional derivative have significant effect on the natural frequency and the amplitude of vibrations. | |
| dc.identifier.issn | 1687-2770 | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/4420 | |
| dc.language.iso | English | |
| dc.publisher | SPRINGER INTERNATIONAL PUBLISHING AG | |
| dc.subject | NONLINEAR VIBRATIONS | |
| dc.subject | EQUATIONS | |
| dc.title | Application of fractional calculus in the dynamics of beams | |
| dc.type | Article |