Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
Joint Authors
Yukunthorn, Weera
Theinchai, Ratchata
Chankan, Siriwan
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-25
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Theinchai, Ratchata& Chankan, Siriwan& Yukunthorn, Weera. 2016. Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1106314
Modern Language Association (MLA)
Theinchai, Ratchata…[et al.]. Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1106314
American Medical Association (AMA)
Theinchai, Ratchata& Chankan, Siriwan& Yukunthorn, Weera. Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1106314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106314