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A semi-analytical approach based on the variational iteration method for static analysis of composite beams

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dc.contributor.author Doeva, Olga
dc.contributor.author Masjedi, Pedram Khaneh
dc.contributor.author Weaver, Paul M.
dc.date.accessioned 2021-01-12T14:55:55Z
dc.date.available 2021-01-12T14:55:55Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/10344/9598
dc.description peer-reviewed en_US
dc.description.abstract Using the Variational Iteration Method (VIM) the 3D static deflection problem of composite beams subject to concentrated tip and uniformly distributed loads is analysed, resulting in a system of coupled non‐ homogeneous ordinary differential equations. Using a general Lagrange multiplier, identified by variational theory, a special type of functional is constructed. By making an initial approximation in the form of a Maclaurin series and by using successive iterations, the solution in the form of convergent series is obtained. The results based on VIM are compared against those of the exact solution and Chebyshev Collocation Method (CCM) for different layups and boundary conditions and good agreement is observed between them. These results show the applicability and effectiveness of VIM for the static analysis of composite beams en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation 15RP2773 en_US
dc.relation.ispartofseries Composite Structures;257, 113110
dc.relation.uri https://doi.org/10.1016/j.compstruct.2020.113110
dc.subject variational iteration method en_US
dc.subject composite beam en_US
dc.subject analytical solution en_US
dc.subject static deflection en_US
dc.title A semi-analytical approach based on the variational iteration method for static analysis of composite beams en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.compstruct.2020.113110
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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