Vibrations of beams with a breathing crack and large amplitude displacements

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Gonçalo Neves Carneiro (Autor) FEUP; Pedro Ribeiro (Autor) FEUP

Revista

Título: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Vol. 230 Nº 1

Páginas: 34-54

ISSN: 0954-4062

Editora: SAGE

Indexação

ISI Web of Knowledge - 5 Citações

ISI Web of Science

Scopus - 6 Citações

Classificação Científica

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia mecânica > Engenharia da vibração

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

Outras Informações

ID Authenticus: P-00J-ZK3

DOI: 10.1177/0954406215589333

Abstract (EN): The vibrations of beams with a breathing crack are investigated taking into account geometrical non-linear effects. The crack is modeled via a function that reduces the stiffness, as proposed by Christides and Barr (One-dimensional theory of cracked Bernoulli-Euler beams. Int J Mech Sci 1984). The bilinear behavior due to the crack closing and opening is considered. The equations of motion are obtained via a p-version finite element method, with shape functions recently proposed, which are adequate for problems with abrupt localised variations. To analyse the dynamics of cracked beams, the equations of motion are solved in the time domain, via Newmark's method, and the ensuing displacements, velocities and accelerations are examined. For that purpose, time histories, projections of trajectories on phase planes, and Fourier spectra are obtained. It is verified that the breathing crack introduce asymmetries in the response, and that velocities and accelerations can be more affected than displacements by the breathing crack.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 21