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

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...

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Bibliographic Details
Published inComposite structures Vol. 257; p. 113110
Main Authors Doeva, Olga, Masjedi, Pedram Khaneh, Weaver, Paul M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2021
Subjects
Analytical solution
Composite beam
Static deflection
Variational iteration method
Variational iteration method
Composite beam
Static deflection
Analytical solution
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Summary: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.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2020.113110