Abstract

In the quasistatic formulation, the problem of the dynamic behavior of a thin elastic discretely reinforced system of plate stiffeners is solved, on the surface of which an infinite linear distributed load moves. The plate is clamped from all sides. The solution is based on the Bubnov-Galerkin method. As a result, the partial differential equation reduces to a system of ordinary differential equations with respect to unknown time functions. It is believed that the plate under the action of a movable load is in a quasistatic regime, to which there corresponds a constant in time its curved surface. When solving a problem in a dynamic formulation, it is considered that the curved surface of the plate under the action of a moving load changes not only in spaced coordinates, but also in time. The critical velocities of its motion are determined. On the basis of the conducted researches, the possibility of reducing the maximum values of accelerations at given points of frame structures with stiffeners for launching installations of aerospace systems has been revealed. Examples are considered.

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