THE METHOD OF SOLUTION OF BOUNDARY 3-DIMENSIONAL PROBLEMS OF THE ELASTICITY THEORY OF ISOTROPIC AND ORTHOTROPIC BODIES

The approach described is to solve equation of motion in migrations of elastic orthotropic and isotropic bodies with regard to boundary problems of steady-state oscillations. Assumed equations are transformed into Helmholtz equations, to obtain solutions by the method of separation of variables. The comparison is given of the results of determining longitudinal acoustic speed in a thin plate made of isotropic material performing planar resonance oscillations, on the basis of experiments and calculations on well-known and suggested theories.