Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum
Joint Authors
Sarmiento-Reyes, Arturo
Khan, Yasir
Diaz-Sanchez, Alejandro
Herrera-May, Agustín
Jimenez-Fernández, Víctor-M.
Pereyra-Díaz, Domitilo
Perez-Sesma, A.
Filobello-Niño, Uriel
Vazquez-Leal, Hector
Castañeda-Sheissa, Roberto
Huerta-Chua, J.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 179.99999999∘ yielding a relative error of 0.01222747.
American Psychological Association (APA)
Vazquez-Leal, Hector& Khan, Yasir& Herrera-May, Agustín& Filobello-Niño, Uriel& Sarmiento-Reyes, Arturo& Jimenez-Fernández, Víctor-M.…[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, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1031693
Modern Language Association (MLA)
Vazquez-Leal, Hector…[et al.]. Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1031693
American Medical Association (AMA)
Vazquez-Leal, Hector& Khan, Yasir& Herrera-May, Agustín& Filobello-Niño, Uriel& Sarmiento-Reyes, Arturo& Jimenez-Fernández, Víctor-M.…[et al.]. Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1031693
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031693