Modeling a point effect on a membrane.

In this paper, consider the direct problem of mathematical physics on calculating the effect of a concentrated action at some point of a loaded elastic body. As the object of study, a rectangular homogeneous strip plate was chosen, loaded by a concentrated action and having a negligible bending stiffness. The goal is to con-struct a solution in an analytical form and analyze the problem of oscillations of a homogeneous membrane under the influence of a known load. The results of modeling the effect of point action on a homogeneous membrane are presented. The analysis of the mathematical model is based on the obtained analytical solu-tion of the homogeneous two-dimensional wave equation. Modeling was performed using the Maple computer algebra system. The results of modeling the influence of a given point oscillatory action on a specific homo-geneous membrane-strip are presented in graphical form. [ABSTRACT FROM AUTHOR]