On the correspondence of theoretical models of longitudinal vibrations of a rod with experimental data

A number of theoretical models are known for describing longitudinal vibrations a rod. The simplest and most common is based on the wave equation. Next comes model that takes into account lateral displacement (Rayleigh correction). Bishop considered to be more perfect, taking both transverse shear deformation. It would seem perfect model, better it should consistent with experimental data. Nevertheless, when comparing really defined spectrum rod large base natural frequencies, turns out this not quite so. Moreover, in relative loss complex model. Comparisons were made smooth long cylindrical questions refinement help experimentally found frequencies velocity waves Poisson’s ratio material also touched.