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Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering

This study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f. The equation entails two distinct boundary conditions: pinned–pinned conditions on uu and u′u^{\prime} , and clamped–clampe...

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Auteurs principaux: Youssri Youssri Hassan, Atta Ahmed Gamal, Abu Waar Ziad Yousef, Moustafa Mohamed Orabi
Format: Artigo
Langue:Inglês
Publié: De Gruyter 2024-11-01
Collection:Nonlinear Engineering
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Accès en ligne:https://doi.org/10.1515/nleng-2024-0022
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