Features of ultrasonic non-destructive testing models of rectangular anisotropic elastic waveguides with a membrane coating

Abstract

Abstract A numerical-analytical fuzzy-set method for synthesizing estimates of the influence of uncertainty factors in the form of scatter of the initial physical-mechanical and geometric parameters of a long waveguide of prismatic geometry from anisotropic single-crystal material of a cubic system on the phase velocities of traveling normal elastic waves for applying in ultrasonic nondestructive evaluation are presented. Waveguide has absolutely flexible inextensible thin coatings of a faces. The technique is based on the description of parameters with scatter errors in the form of fuzzy-intervals quantities and on the transition to fuzzy-set arguments in the analytical representations of wave numbers for various branches of the dispersion spectrum. The alpha-level form of the heuristic generalization principle is used. Examples of a fuzzy-set description of a series of frequency distributions characteristics of phase velocities of traveling normal waves for a waveguide from a silicon single crystal are given.