Numerical solution of large deflection beams by using the Laplace Adomian decomposition method
ISSN: 0264-4401
Article publication date: 1 September 2021
Issue publication date: 4 March 2022
Abstract
Purpose
This paper presents the problems using Laplace Adomian decomposition method (LADM) for investigating the deformation and nonlinear behavior of the large deflection problems on Euler-Bernoulli beam.
Design/methodology/approach
The governing equations will be converted to characteristic equations based on the LADM. The validity of the LADM has been confirmed by comparing the numerical results to different methods.
Findings
The results of the LADM are found to be better than the results of Adomian decomposition method (ADM), due to this method's rapid convergence and accuracy to obtain the solutions by using fewer iterative terms. LADM are presented for two examples for large deflection problems. The results obtained from example 1 shows the effects of the loading, horizontal parameters and moment parameters. Example 2 demonstrates the point loading and point angle influence on the Euler-Bernoulli beam.
Originality/value
The results of the LADM are found to be better than the results of ADM, due to this method's rapid convergence and accuracy to obtain the solutions by using fewer iterative terms.
Keywords
Acknowledgements
This study acknowledges the support provided to this research by the Ministry of Science and Technology of Republic of China under Grant no. MOST 108-2221-E-006 -124 -MY3.
Conflict of interest: The authors declare that they have no conflict of interest.
Citation
Lin, M.-X., Tseng, C.-H. and Chen, C.K. (2022), "Numerical solution of large deflection beams by using the Laplace Adomian decomposition method", Engineering Computations, Vol. 39 No. 3, pp. 1118-1133. https://doi.org/10.1108/EC-01-2021-0044
Publisher
:Emerald Publishing Limited
Copyright © 2021, Emerald Publishing Limited