Model of fuzzy ultra-acoustic diagnostics of nanocomposite functionally graded plate constructions in mechanical engineering

A description of a numerical-analytical technique for obtaining fuzzy estimates of the physical-mechanical parameters of plates that are exponentially inhomogeneous in thickness from functionally gradient transversely isotropic nanocomposite materials intended for use in mechanical engineering and aerospace technologies is given. The technique is based on the use of uncertain experimental data of measuring the lengths of normal shear elastic waves with different frequencies for different modes of the dispersion spectrum of the plate under consideration having interpretation in form of fuzzy sets. For obtaining fuzzy estimates of physical-mechanical parameters the transition to fuzzy-multiple arguments in the analytical relationships between the physical-mechanical parameters of functionally gradient transversely isotropic nanocomposite materials and the characteristics of ultrasonic measurements are used. (paper)