Vibrations of beams with a breathing crack and large amplitude displacements

• Type: Article in International Scientific Journal
• Date: 2016

Authors

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

Journal

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

Vol. 230 No. 1

Pages: 34-54

ISSN: 0954-4062

Publisher: SAGE

Indexing

ISI Web of Knowledge - 5 Citations

ISI Web of Science

Scopus - 6 Citations

Scientific classification

CORDIS: Technological sciences > Engineering > Mechanical engineering > Vibration engineering

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21