Static Analysis of Isotropic Beams Resting on Elastic Foundations of the Winkler-Pasternak Type

Autor: Larissa Oliveira Santos, Fabio Carlos da Rocha, Leslie Darien Pérez Fernández
Jazyk: English<br />Portuguese
Rok vydání: 2023
Předmět:
Zdroj: Vetor, Vol 33, Iss 1 (2023)
Druh dokumentu: article
ISSN: 0102-7352
2358-3452
DOI: 10.14295/vetor.v33i1.15133
Popis: Beams resting on elastic foundations are widely used in engineering projects, so analyzing their displacement fields is very important. The present work presents solutions for the deflection of isotropic beams resting on elastic foundations of the Winkler-Pasternak type. The proposed formulation is based on the Euler-Bernoulli beam theory, and the governing equations and the boundary conditions are derived from the principle of virtual work. The direct integration method can decouple the deflections from axial displacement and twists. The system of deflection equations decouples into two principal directions and is transformed into a first-order system. The solution of this system of equations is obtained through the method of variation of parameters. When analyzing the results of the maximal deflections, it is observed that increasing values of the foundation stiffness provide decreasing deflections and that the influence of the Pasternak parameter is more significant on the results than that of the Winkler parameter.
Databáze: Directory of Open Access Journals