On the choice of probability density function for the stochastic bonding stiffness of piezoelectric structures
Heinsten Frederich Leal Santos1; Marcelo Areias Trindade2
1 Federal University of Mato Grosso; 2 Sao Carlos School of Engineering, University of Sao Paulo
doi:10.20906/CPS/USM-2016-0059
Resumo
A recent previous work (Trindade et al., 2013) presented an analysis of the effect of uncertainties of the bonding stiffness of the adhesive layer between a piezoceramic actuator patch and a flexible structure on the performance of such actuators for active and passive vibration control and vibration-based energy harvesting. This was done considering a stochastic model for the adhesive layer bonding stiffness based on expected statistical properties of such variable, such as expected nominal value, dispersion and positivity. The confidence intervals of the vibration control and energy harvesting performance were shown to be highly dependent on the probability density function considered for the bonding stiffness. This is due, in one hand, to the high dispersion values that can be expected for this variable and, in the other hand, to the high influence of this variable on the observed performance. This work presents the comparison between obtained performance confidence intervals when considering different, but equally reasonable, probability density functions for the adhesive layer bonding stiffness. Results are meant to confirm the need of adequate prior probability density functions, that are statistically reasonable, and provide elements that allow their selection for similar problems. Trindade, M.A., Santos, H.F.L., Godoy, T.C. 2013. Effect of uncertainties on the performance of surface-mounted piezoelectric sensors and actuators, International Symposium on Dynamic Problems of Mechanics (DINAME), Búzios.
Palavras-chave: Stochastic; Probability; Structure; Bonding; Uncertainties