Application the Adomian Decomposition Method to the Dynamic Response Analysis of Cracked Beam under Moving Load


  • Naseradin Abujnah Faculty of Technical Engineering Mesallata, Mesallata,Libya


Adomian decomposition method, Euler-Bernoulli beam, Cracked beam, moving load, mode shape functions, eigenvalue equation


In this article, the Adomian method of decomposition (ADM) is used to examine the vibration of a simply supported cracked beam (SSCB) under a moving load based on the Euler Bernoulli hypothesis. the system modelled as two segments of the beam are to be connected by a massless elastic rotational spring. Bearing in mind each segment of a cracked beam a substructure that can be modeled using ADM. ADM derives for the first time on the basis of kinematic conditions and boundary conditions the characteristic / eigenvalue equation and mode shape functions of the cracked beam under a moving load. The results obtained from ADM are compared to the results obtained from the method of finite elements (FEM). ADM results show remarkable superiority compared to FEM.


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How to Cite

Naseradin Abujnah. (2022). Application the Adomian Decomposition Method to the Dynamic Response Analysis of Cracked Beam under Moving Load. American Scientific Research Journal for Engineering, Technology, and Sciences, 88(1), 332–348. Retrieved from