Nonlinear dynamics of a planar beam - spring system: a 2:1 internal transversal-axial resonance
Referat wygłoszony
| Status: | |
| Autorzy: | Kłoda Łukasz, Lenci Stefano, Warmiński Jerzy |
| Rok wydania: | 2019 |
| URL do źródła | LINK |
| Język: | angielski |
| Źródło: | 15th International Conference Dynamical Systems - Theory and Applications (DSTA 2019) |
| Miasto wystąpienia: | Łódź |
| Państwo wystąpienia: | POLSKA |
| Efekt badań statutowych | NIE |
| Abstrakty: | angielski |
| The nonlinear dynamics of a planar system consisting of a hinged simply supported beam with an embedded spring along the axis are investigated. Attention is focused on coupled axial-transversal oscillations, where double of a natural frequency of bending mode is tuned by axial spring to be close to the longitudinal natural frequency, thus realizing a 2:1 internal resonance. The effect of the spring on forced-damped vibrations of the system is investigated analytically by the multiple time scales method. The approximate frequency response curve is obtained, and for selected cases numerical validation by explicit finite element method is provided. Acknowledgments: The project/research was financed in the framework of the project Lublin University of Technology-Regional Excellence Initiative, funded by the Polish Ministry of Science and Higher Education (contract no. 030/RID/2018/19). |
