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Applied Physics and Mathematics Annotation << Back
A GLANCING BLOW BY A FLEXIBLE TENSILE THREAD. THEORY AND EXPERIMENT |
A.V. ZVYAGIN, A.F. ZUBKOV, D.I. PANFILOV
In the paper, the nonlinear contact problem of slip of a body along a fi lament is studied theoretically and experimentally. For a string, the square of the velocity of transverse waves is proportional to its tension, so the velocity of transverse waves in weakly strained filaments can be arbitrarily small. For slip velocities that exceed the velocity of transverse waves, the behavior of the solution changes sharply. At the same time, the contact problems for the body pair are characteristic for the textile industry and for a large class of technical applications associated with fl exible transfer mechanisms, control of coiled wires and many others. etc. This allows us to talk about the relevance of this kind of problems, since they have both practical signifi cance and fundamental interest. The nonlinear problem of slip of a concentrated bond along a fl exible extensible fi lament with fi nite deformations and displacements is experimentally and theoretically investigated. It is shown that there is a certain critical value of the speed of motion of the point load, when it exceeds the shape of the thread and the behavior of the solution change drastically. The dependence of the dynamic coeffi cient of viscous friction on velocity is determined. It turned out that with the transition of the communication to the supersonic regime, the coeffi cient of viscous friction fi rst rapidly increases by an order of magnitude, and then becomes practically constant. The results of the comparison showed an acceptable accuracy of the chosen thread model.
Keywords: The dynamics of the thread, the wave in the thread, the sliding along the thread, the dynamic coeffi cient of friction.
DOI: 10.25791/pfim.06.2018.032
Contacts: E-mail: zvyagin.aleksandr2012@yandex.ru
Pp. 50-60. |
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