Review article

Radial oscillations of an elastic rod of circular shape under impulse loading

UDC: 

539.3

DOI: 

10.23968/1999-5571-2023-20-4-40-45

Pages: 

40-45

Annotation: 

The stress state of the cylindrical elastic rod is studied under the influence of a uniformly distributed impulse load of rectangular shape applied to the surface. The first convergent wave shows the nature of the change in radial tension over time. The results of the calculations show that, despite the fact that the given load is compressive, after its sudden removal, the stresses in the converging wave become tensile and increase as they move towards the axis of the rod. The problem is investigated using the Laplace transform. The solution is obtained in the form of Fourier-Bessel series, which is converted to asymptotic form (for short time).

Authors: 

Smirnov V. I. Emperor Alexander I St. Petersburg State Transport University Saint Petersburg, Russia

Vidyushenkov S. A. Emperor Alexander I St. Petersburg State Transport University Saint Petersburg, Russia

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