https://doi.org/10.36719/2789-6919/43/122-129
Tahir Mammadov
Ganja State University
PhD in mathematics
https://orcid.org/0009-0002-9546-3683
tahir.mammadov@gdu.edu.az
Elchin Javadov
Ganja State University
PhD in technique
https://orcid.org/0009-0002-8868-9617
elcin.cavadov@gdu.edu.az
Tarana Verdiyeva
Ganja State University
PhD in technique
https://orcid.org/0009-0009-8595-2644
tarana.verdiyeva@gdu.edu.az
Gulchin Garayeva
Ganja State University
PhD student
https://orcid.org/0009-0005-8059-7453
gulcin.qarayeva@gdu.edu.az
Problem on Vinkling of Viscoelastic Thread During Normal
Blowing by a Wedge
Abstract
The article investigates the problem of transverse impact of a linear viscoelastic rod with a wedge. The problem is studied in a regime greater than the speed of sound, and the state of tension of the rod, its state before and after breaking, are also studied. If the viscoelastic rod breaks at the point of impact after impact, the rod wrinkle along the surface of the striking object, that is, it is clarified that the viscoelastic rod is in the form of a wrinkle in the region from the point of breakage to the point of inflection.
Studies have shown that the speed of the “wrinkle” front of a viscoelastic thread is less than the speed of the “wrinkle” front of a corresponding linear elastic thread. This means that the length of the “wrinkle” region in a linear viscoelastic thread is greater than the length of the “wrinkle” region in a corresponding linear elastic thread. It has also been determined that the speed of a sharp shear wave in a viscoelastic thread is less than the speed of a sharp shear wave in a linear elastic thread. That is, the viscosity property slows down the speed of the wave. An analytical solution to the problem is found for the case where a “wrinkle” appears on the sharp shear wave front. Here, the issue of the formation of new regions as a result of the meeting of elastic waves, the impact of the elastic wave with the edge of the impacting wedge, and the meeting of the elastic wave with the smoothing-wrinkle boundary was also studied.
Keywords: wedge, break, flexible, thread, cross floro, supersonic, subsonic