Abstract
PurposeThis 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/approachThe 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.FindingsThe 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/valueThe 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.
Subject
Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software
Reference35 articles.
1. Convergence of the Adomian decomposition method for initial‐value problems;Numerical Methods for Partial Differential Equations,2011
2. Solving frontier problems modelled by nonlinear partial differential equations;Computers and Mathematics with Applications,1991
3. Delayed nonlinear dynamical systems;Mathematical and Computer Modelling,1995
4. On the improved Kirchhoff equation modelling nonlinear vibrations of beams;Acta Mechanica,2006
5. Surface stress effect on the pull-in instability of circular nanoplates;Acta Astronautica,2014
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献