6533b7d0fe1ef96bd125b008

RESEARCH PRODUCT

Numerical and experimental verification of a technique for locating a fatigue crack on beams vibrating under Gaussian excitation

Giuseppe MuscolinoSalvatore BenfratelloN. ImpolloniaPierfrancesco CacciolaAttilio Masnata

subject

Cantileverbusiness.industryMechanical EngineeringGaussianMonte Carlo methodMechanicsStructural engineeringFinite element methodsymbols.namesakeMechanics of MaterialsGaussian noisesymbolsGaussian functionGeneral Materials ScienceRandom vibrationbusinessBeam (structure)Mathematics

description

The stationary vibrations of a beam excited by Gaussian noise are strongly affected by the presence of a fatigue crack. Indeed, as soon as the crack arises the system response becomes non-linear due to crack breathing and a non-Gaussian behaviour is encountered. The paper presents both numerical and experimental investigations in order to assess the capability of the non-Gaussianity measures to detect crack presence and position. Monte Carlo method is applied to evaluate in time domain the higher order statistics of a cantilever beam modelled by finite elements. The skewness coefficient of the rotational degrees of freedom appears the most suitable quantity for identification purpose being very sensitive to the non-linear behaviour of the cracked beam.

10.1016/j.engfracmech.2006.06.023http://hdl.handle.net/10447/20032