فهرست نشریات علمی دسترسی آزاد ایران

The problem of dynamic deformation of a thin plate lying on an elastic base and discretely supported by a system of stiffening ribs under the action of an arbitrarily directed moving load is approximated. The load is considered as an infinite uniformly distributed normal force, the front of which moves with a constant velocity at an arbitrary angle to the longitudinal axis of the plate. The elasticity of the foundation is considered within the Winkler hypothesis, and the discreteness of the fin arrangement is specified using generalized functions. There are two variants of solving the problem: quasi-static and dynamic. In the first one, the curved surface of the plate depends only on its longitudinal coordinates, while in the second one, it also depends on time. When using the dynamic solution, in addition to the deformed state of the ribbed plate, the frequencies of its natural oscillations, which are the most important dynamic characteristics of the structure, are also determined as an incidental result. Examples are considered. The results of the work can be used to predict the stress-strain state of thin-walled structures, including those with functional coatings.