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Closed form solutions for an anisotropic composite beam on a two-parameter elastic foundation

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dc.contributor.author Doeva, Olga
dc.contributor.author Masjedi, Pedram Khaneh
dc.contributor.author Weaver, Paul M.
dc.date.accessioned 2021-03-04T11:10:00Z
dc.date.available 2021-03-04T11:10:00Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/10344/9845
dc.description peer-reviewed en_US
dc.description.abstract Beams resting on elastic foundations are widely used in engineering design such as railroad tracks, pipelines, bridge decks, and automobile frames. Laminated composite beams can be tailored for specific design requirements and offer a desirable design framework for beams resting on elastic foundations. Therefore, the analysis of flexural behaviour of laminated composite beams on elastic foundations is of important consequence. Exact solutions for flexural deflection of composite beams with coupling terms between stretching, shearing, bending and twisting, resting on two-parameter elastic foundations for various types of loading and boundary conditions, are presented for the first time. The proposed new formulation is based on Euler–Bernoulli beam theory having four degrees of freedom, namely bending in two principal directions, axial elongation and twist. Governing equations and boundary conditions are derived from the principle of virtual work and expressed in a compact matrix–vector form. By decoupling bending in both principal directions from twist and axial elongation, the fourth-order differential equation for bending is derived and transformed into a system of first-order differential equations. An exact solution of this system of equations is obtained using a fundamental matrix approach. Fundamental matrices for different configurations of elastic foundation are provided. The ability of the presented mathematical model in predicting flexural behaviour of beams on elastic foundations is verified numerically by comparison with results available in the literature. In addition, the deflection of anisotropic beams is analysed for different types of stacking sequences, boundary and loading conditions. The effect of elastic foundation coefficients on the flexural behaviour is also investigated and discussed. en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation.ispartofseries European Journal of Mechanics / A Solids;88, 104245
dc.subject Composite beam en_US
dc.subject Exact analytical solution en_US
dc.subject Flexural behaviour en_US
dc.title Closed form solutions for an anisotropic composite beam on a two-parameter elastic foundation 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.euromechsol.2021.104245
dc.contributor.sponsor SFI en_US
dc.relation.projectid 15/RP/2773 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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