The presence of a crack in a structural member introduces a local flexibility that affects its
vibration response. Moreover, the crack will open and close in time depending on the …

This survey paper contains a review of the past and recent developments in system
identification of nonlinear dynamical structures. The objective is to present some of the …

The past decades have been marked by a significant increase in research interest in
nonlinearities in micro-cracked and cracked solids. As a result, a number of different …

A continuous cracked beam vibration theory is used for the prediction of changes in
transverse vibration of a simply supported beam with a breathing crack. The equation of …

Propagating fatigue cracks can have detrimental effects on the reliability of rotating
machinery. An early crack warning can considerably extend the durability of these very …

In this article, the vibrational response of a cracked cantilevered beam to harmonic forcing is
analysed. The study has been performed using a finite element model of the beam, in which …

Numerical evaluation of the flexural forced vibration of a cantilever beam having a
transverse surface crack extending uniformly along the width of the beam was performed to …

The paper develops a finite element scheme for computing the eigensystem for a cracked
beam for different degrees of closure. Previous work in the authors' laboratories has …

The equation of motion and associated boundary conditions are derived for the vibrations of
a uniform beam containing one single edge fatigue crack. The fatigue crack was introduced …

The aim of this article is to present a technique capable of evaluating the dynamic response
of a beam with several breathing cracks perpendicular to its axis and subjected to harmonic …