Please use this identifier to cite or link to this item: 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
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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
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acceptedVersion - Versión aceptada
Appears in Collections:Artículos de Electrónica

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