Harmonic balance-based crack size estimation in an ultrasonic fatigue specimen
Shawn Kiser  1@  , Mikhail Guskov  1@  , Marc Rebillat  1@  , Nicolas Ranc  1@  
1 : Procédés et Ingénierie en Mécanique et Matériaux [Paris]  (PIMM)  -  Website
Arts et Métiers Institute of Technology, Conservatoire National des Arts et Métiers (CNAM), Centre National de la Recherche Scientifique : UMR8006, Centre National de la Recherche Scientifique : UMR8006
151 Boulevard de l'Hôpital, 75013 Paris -  France

Closing-opening cracks during ultrasonic fatigue tests are suspected to generate nonlinearities in the vibration signal. Due to the periodicity of the ultrasonic transducer and choice of non-smooth stiffness nonlinearity, the Harmonic Balance method is utilized to simulate the resulting 1DOF dynamic model. The energy that transferred from the fundamental harmonic to higher harmonics is represented as a harmonic amplitude ratio parameter and is utilized to inverse model a nonlinear crack parameter for an experimental signal. A feature of this dynamic model allows for the addition of nonlinear effects that evolve with the fatigue specimen's life.


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