Akademik Məlumat İdarəetmə Sistemi
Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences, vol.7, no.40, pp.20-27, 2020 (Scopus)
The paper studies critical velocity of the moving load acting on the interior of the bi-layered hollow cylinder in the 3D dynamic state with utilizing the exact equations and relations of the elastodynamics. Under this study it is assumed that in the interior of the cylinder the point located with respect to the cylinder axis moving forces act and the distribution of these forces is non-axisymmetric and is located within a certain central angle. The corresponding mathematical problem is solved with the use of the moving coordinate system and by employing the Fourier transformation with respect to the axial coordinate. Further, the Fourier transforms of the sought values are presented through the Fourıer series and each coefficients in these series are determined analytically as a result of the solutıon to the corresponding equations. Originals of the sought values are determined numerically and according to this determination the critical velocities of the moving load is determined. In the paper, numerical results related to these critical velocities are presented and discussed. In particular, it is established that the values of the critical velocities increase with increasing of thickness of the external layer of the cylinder