High-frequency longitudinal vibrations of elastic rods
One-dimensional equations are constructed for the high-frequency longitudinal vibrations of elastic rods. Problems in a section are formulated to determine the ''effective'' elastic characteristics of the rod. In the case of a circular rod, the elastic characteristics, dispersion curve, and spectrum are found. Comparisons are made with analogous results of the three-dimensional theory of elasticity and with experiment.
scientific article; zbMATH DE number 4007844