Correspondence of Theoretical Models of Longitudinal Rod Vibrations to Experimental Dataстатья
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Аннотация:There are several theoretical models for describing longitudinal vibrations of a rod. The simplestand most common model is based on the wave equation. Less common is the model taking intoaccount lateral displacement (Rayleigh correction). The Bishop model is considered to be superior,considering both transverse displacement and shear deformation. It would seem that the moreimproved the theoretical model, the better its agreement should be with experimental data. However,that turns out not to be quite the case when compared to an actual experimental spectrum of longitudinal rod vibrations over a large base of natural frequencies. Moreover, the most complex Bishopmodel turns out to be relatively weak. Comparisons were made for a smooth long cylindrical rod. Alsodiscussed are the questions of specifying the velocity of longitudinal waves and Poisson’s ratio of therod material using experimentally obtained frequencies.