On the existence of periodic solution for equation of motion of thick beams having arbitrary cross section with tip mass under harmonic support motion
| Autor: | Abbas Rastgoo, Ali Feyz Dizaji, Farzad Ebrahimi |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Timoshenko beam theory
Mechanical Engineering Mathematical analysis Equations of motion Fixed-point theorem Harmonic (mathematics) symbols.namesake Cross section (physics) Classical mechanics Mechanics of Materials Green's function Ordinary differential equation symbols General Materials Science Beam (structure) Mathematics |
| Zdroj: | International Journal of Mechanics and Materials in Design. 3:29-38 |
| ISSN: | 1573-8841 1569-1713 |
| DOI: | 10.1007/s10999-006-9011-1 |
| Popis: | A cantilever beam having arbitrary cross section with a lumped mass attached to its free end while being excited harmonically at the base is fully investigated. The derived equation of vibrating motion is found to be a non-linear parametric ordinary differential equation, having no closed form solution for it. We have, therefore, established the sufficient conditions for the existence of periodic oscillatory behavior of the beam using Green’s function and employing Schauder’s fixed point theorem. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink