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12
Issue
vol 63 / December, 2020
Article

DOI 10.17586/0021-3454-2020-63-6-562-568

UDC 517.9

DERIVATION OF AN ANALYTICAL SOLUTION TO THE PROBLEM OF ANALYZING A CONCENTRATED VIBRATIONAL EFFECT ON A MEMBRANE-STRIP ELEMENT

V. L. Tkalich
ITMO University; Professor


M. E. Kalinkina
ITMO University, Saint Petersburg, 197101, Russian Federation; Postgraduate


A. G. Korobeynikov
Saint Petersburg Branch Organization of the Russian Academy of Sciences “Institute of Earth Magnetism, Ionosphere and Radio waves named after N.V. Pushkov RAS”;ITMO University, Saint Petersburg, 197101, Russian Federation ; Deputy Director for Science


O. I. Pirozhnikova
ITMO University; student


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Abstract. An analytical solution is obtained for the problem on a membrane-strip of infinite length under the action of concentrated unsteady influence. It is supposed that the strip element has a negligible bending stiffness and turns into a membrane element under a concentrated unsteady vibrational effect. In the analysis, the Heaviside function and the Dirac delta function are used. The procedure for calculating the deflection of the membrane-strip in a numerical experiment is implemented using the Maple system. Graphical results of the calculations of the membrane-strip deflection are presented. The proposed approach makes it possible to solve a direct problem on the influence of a given non-stationary action on the membrane strip. The results of calculation carried out for a specific membrane strip are presented in graphical form.
Keywords: elastic membrane element, strip, displacement, loading force, Heaviside function, Dirac delta function, Maple

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