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