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http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2359| Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum | |
| Librado Arturo Sarmiento Reyes ALEJANDRO DIAZ SANCHEZ | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| Theoretical mechanics field Nonlinear differential equations Large deflection Homotopy perturbation method | |
| In theoretical mechanics field, solution methods for nonlinear differential equations are very important because many problems are modelled using such equations. In particular, large deflection of a cantilever beam under a terminal follower force and nonlinear pendulum problem can be described by the same nonlinear differential equation. Therefore, in this work, we propose some approximate solutions for both problems using nonlinearities distribution homotopy perturbation method, homotopy perturbation method, and combinations with Laplace-Padé posttreatment. We will show the high accuracy of the proposed cantilever solutions, which are in good agreement with other reported solutions. Finally, for the pendulum case, the proposed approximation was useful to predict, accurately, the period for an angle up to 179.99999999º yielding a relative error of 0.01222747. | |
| Mathematical Problems in Engineering | |
| 16-01-2013 | |
| Artículo | |
| Inglés | |
| Estudiantes Investigadores Público en general | |
| Vázquez-Leal, H., et al., (2013), Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum, Mathematical Problems in Engineering, Vol. 2013:1–13 | |
| ELECTRÓNICA | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Artículos de Electrónica |
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| 166. Approximations for Large Deflection of a Cantilever Beam Under a Terminal Follower Force and Nonlinear Pendulum.pdf | 2.07 MB | Adobe PDF | Visualizar/Abrir |