Time-fractional dependence of the shear force in some beam type problems with negative Young modulus

• Tipo: Artigo em Revista Científica Internacional
• Data: 2020

Autores

Cao Labora, DC (Autor) Outra; António Mendes Lopes (Autor) FEUP; Tenreiro Machado, JAT (Autor) Outra

Revista

Título: Applied Mathematical Modelling

Vol. 80

Páginas: 668-682

ISSN: 0307-904X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00R-GBJ

DOI: 10.1016/j.apm.2019.11.054

Abstract (EN): Under the Euler-Lagrange equation, a time-fractional dependence for the shear force in a beam in the absence of a transverse load is analysed. The main assumption is that the beam is composed by a material with a negative Young modulus. The existence of such materials is documented in several recent studies. A strategy adopting analytical calculations involving Laplace transforms concludes that, up to a known constant, the shear force can be computed as the Riemann-Liouville time-fractional derivative of order 3/2 of the deflection of the beam. This identity presents an interesting connection with the Bagley-Torvik equation.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15