Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum

dc.creatorLibrado Arturo Sarmiento Reyes
dc.creatorALEJANDRO DIAZ SANCHEZ
dc.date2013-01-16
dc.date.accessioned2023-07-25T16:25:27Z
dc.date.available2023-07-25T16:25:27Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2359
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7807535
dc.descriptionIn 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.
dc.formatapplication/pdf
dc.languageeng
dc.publisherMathematical Problems in Engineering
dc.relationcitation: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
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Inspec/Theoretical mechanics field
dc.subjectinfo:eu-repo/classification/Inspec/Nonlinear differential equations
dc.subjectinfo:eu-repo/classification/Inspec/Large deflection
dc.subjectinfo:eu-repo/classification/Inspec/Homotopy perturbation method
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2203
dc.subjectinfo:eu-repo/classification/cti/2203
dc.titleApproximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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