Abstract
The problem of the effect of a load applied to an end of a cylindrical bar of a circular cross-section is considered. The effect of geometrical dispersion is demonstrated for a stress pulse with the wavelength comparable to the cylinder radius, propagating along the bar. Analytical Pohgammer-Kri solution for the first (main) propagation form of a longitudinal expansion wave is compared with a numerical solution in an axisymmetrical formulation. The results of using a well-known method of reconstructing a pulse at the end of a bar based on its values at a distance from the load application point are demonstrated. It is noted that distortions of the reconstructed pulse form are similar to distortions due to Gibbs effect. The difference between the results of numerical and analytical solutions is also noted, which may be connected with the presence in the solution of higher oscillation forms, and which increases with decreasing the length of the initial pulse. Keywords: cylindrical bar, stress pulse, geometrical dispersion, numerical solution, Fourier transform, Gibbs effect.
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