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

Ratchata Theinchai, Siriwan Chankan and Weera Yukunthorn

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-5

Abstract:

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5052194

DOI: 10.1155/2016/5052194

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