Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam
2016 ◽
Vol 2016
◽
pp. 1-5
Keyword(s):
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.
2008 ◽
Vol 56
(12)
◽
pp. 3204-3220
◽
2012 ◽
Vol 157-158
◽
pp. 476-483
2012 ◽
Vol 160
◽
pp. 292-296
2018 ◽
Vol 25
(1)
◽
pp. 41-51
◽
2017 ◽
Vol 23
(9)
◽
pp. 1345-1363
◽
2021 ◽
Vol 97
◽
pp. 105756