Abstract:
In this paper, the theory of oscillation of laminated plates of building structures is developed,
which is
rigorously grounded in the formulation of various boundary-value oscillation problems. When
studying the oscillation of plates, the exact three-dimensional problem is replaced by a simpler,
two-dimensional problem for the points of the middle plane of the plate, which imposes restrictions
on the external conditions. These limitations boil down to the fact that external forces can not be
high-frequency. Since the general equations of plate oscillation, the resulting wound contain
derivatives of any order in terms of coordinates x, y and time t, are structured and therefore not
suitable for solving applied problems and performing engineering
calculations. For this, it is necessary to formulate approximate boundary-value oscillation
problems.
