Annals of Solid and Structural Mechanics
JournalAnnals of Solid and Structural Mechanics
In this paper, the effects of a breathing crack on the vibratory characteris- tics of a rotating shaft are investigated. A new, simple and robust model composed of two rigid bars connected with a nonlinear flexural spring is proposed. The nonlinear spring, located at the cracked transverse section position, concentrates the global stiff- ness of the cracked shaft. The breathing mechanism of the crack is described by a more realistic periodic variation of the global stiffness depending not only but substantially on the system vibratory response. It is based on an energy formulation of the problem of 3D elasticity with unilateral contact conditions on the crack lips. A possible partial opening and closing of the crack is considered which makes the approach more appro- priate for deep cracks modeling. The harmonic balance method, direct time-integration schemes and nonlinear dynamics tools are used to characterize the global dynamics of the system. The effects of the crack depth and rotating frequency have been metic- ulously examined and it was found that the cracked shaft never exhibits chaotic or quasi-periodic vibratory response.
Files in this item
Showing items related by title, author, creator and subject.
Communication avec acteNASRI, Mohamed Aziz; AGUADO, Jose Vicente; AMMAR, Amine; CUETO, Elias; CHINESTA, Francisco; MOREL, Franck; ROBERT, Camille; EL AREM, Saber (Key Engineering Materials, 2015)Forming processes usually involve irreversible plastic transformations. The calculation in that case becomes cumbersome when large parts and processes are considered. Recently Model Order Reduction techniques opened new ...
Proper Generalized Decomposition (PGD) for the numerical simulation of polycrystalline aggregates under cyclic loading Article dans une revue avec comité de lectureNASRI, Mohamed Aziz; AMMAR, Amine; ROBERT, Camille; EL AREM, Saber; MOREL, Franck (Elsevier Masson, 2018)The numerical modelling of the behaviour of materials at the microstructural scale has been greatly developed over the last two decades. Unfortunately, conventional resolution methods cannot simulate polycrystalline ...
Article dans une revue avec comité de lectureIn the present work, a phase field damage model is developed to address the numerical simulation of brittle fracture. This model successfully captures some important aspects of crack propagation, including crack branching ...
Article dans une revue avec comité de lectureEL AREM, Saber (Elsevier, 2020)A generic methodology to deal with the mechanics of beams and shafts with cracks is presented. The elastic energy of the system under static loading is written in a comprehensive manner to remarkably reduce the 3D computations ...
Article dans une revue avec comité de lectureEL AREM, Saber (Springer Verlag, 2019)The aim of this paper is to explore the dynamical response of a rotating shaft with a cracked transverse section. This complex problem is distilled down to the study of a very comprehensive mechanical system composed of ...