| Autor: |
Shahram Shahlaei-Far, Airton Nabarrete, José Manoel Balthazar |
| Jazyk: |
angličtina |
| Předmět: |
|
| Zdroj: |
Latin American Journal of Solids and Structures, Vol 13, Iss 10, Pp 1866-1877 |
| Druh dokumentu: |
article |
| ISSN: |
1679-7825 |
| DOI: |
10.1590/1679-78252766 |
| Popis: |
Abstract This study analyzes the fourth-order nonlinear free vibration of a Timoshenko beam. We discretize the governing differential equation by Galerkin's procedure and then apply the homotopy analysis method (HAM) to the obtained ordinary differential equation of the generalized coordinate. We derive novel analytical solutions for the nonlinear natural frequency and displacement to investigate the effects of rotary inertia, shear deformation, pre-tensile loads and slenderness ratios on the beam. In comparison to results achieved by perturbation techniques, this study demonstrates that a first-order approximation of HAM leads to highly accurate solutions, valid for a wide range of amplitude vibrations, of a high-order strongly nonlinear problem. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
