Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam

Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam

We investigate semianalytical solutions of Euler-Bernoulli beam equation by using Laplace transform and Adomian decomposition method (LADM). The deformation of a uniform flexible cantilever beam is formulated to initial value problems. We separate the problems into 2 cases: integer order for small d...

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Main Authors: Ratchata Theinchai, Siriwan Chankan, Weera Yukunthorn
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2016/5052194
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spelling doaj-7e957e35a4184b6cbb1bed9a6b0888552020-11-24T22:39:22ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/50521945052194Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever BeamRatchata Theinchai0Siriwan Chankan1Weera Yukunthorn2Faculty of Science and Technology, Kanchanaburi Rajabhat University, Kanchanaburi 71000, ThailandFaculty of Science and Technology, Kanchanaburi Rajabhat University, Kanchanaburi 71000, ThailandFaculty of Science and Technology, Kanchanaburi Rajabhat University, Kanchanaburi 71000, ThailandWe investigate semianalytical solutions of Euler-Bernoulli beam equation by using Laplace transform and Adomian decomposition method (LADM). The deformation of a uniform flexible cantilever beam is formulated to initial value problems. We separate the problems into 2 cases: integer order for small deformation and fractional order for large deformation. The numerical results show the approximated solutions of deflection curve, moment diagram, and shear diagram of the presented method.http://dx.doi.org/10.1155/2016/5052194
collection DOAJ
language English
format Article
sources DOAJ
author Ratchata Theinchai
Siriwan Chankan
Weera Yukunthorn
spellingShingle Ratchata Theinchai
Siriwan Chankan
Weera Yukunthorn
Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
International Journal of Mathematics and Mathematical Sciences
author_facet Ratchata Theinchai
Siriwan Chankan
Weera Yukunthorn
author_sort Ratchata Theinchai
title Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
title_short Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
title_full Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
title_fullStr Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
title_full_unstemmed Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
title_sort application of adm using laplace transform to approximate solutions of nonlinear deformation for cantilever beam
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2016-01-01
description We investigate semianalytical solutions of Euler-Bernoulli beam equation by using Laplace transform and Adomian decomposition method (LADM). The deformation of a uniform flexible cantilever beam is formulated to initial value problems. We separate the problems into 2 cases: integer order for small deformation and fractional order for large deformation. The numerical results show the approximated solutions of deflection curve, moment diagram, and shear diagram of the presented method.
url http://dx.doi.org/10.1155/2016/5052194
work_keys_str_mv AT ratchatatheinchai applicationofadmusinglaplacetransformtoapproximatesolutionsofnonlineardeformationforcantileverbeam
AT siriwanchankan applicationofadmusinglaplacetransformtoapproximatesolutionsofnonlineardeformationforcantileverbeam
AT weerayukunthorn applicationofadmusinglaplacetransformtoapproximatesolutionsofnonlineardeformationforcantileverbeam
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