Dynamic behavior and stability of a discretely supported plate with a heat-proof coating under the action of an arbitrarily directed moving load

Antufiev, Boris A.; Belokopytova, Elena S.; Kriven, Galina I.; Kutina, Elena V.

doi:10.24200/sci.2023.59980.6536

Dynamic behavior and stability of a discretely supported plate with a heat-proof coating under the action of an arbitrarily directed moving load

Document Type : Article

Authors

¹ Moscow Aviation Institute (National Research University)Department of Resistance of Materials Dynamics and Strength of Machines, Moscow Aviation Institute (National Research University), Volokolamskoe highway 4, Moscow, 125993, Russian Federation

² Department of Advanced materials and technologies for aerospace applications, Moscow Aviation Institute (National Research University), Volokolamskoe highway 4, Moscow, 125993, Russian Federation

³ Research Department №9, Moscow Aviation Institute (National Research University), Volokolamskoe highway 4, Moscow, 125993, Russian Federation

10.24200/sci.2023.59980.6536

Abstract

The problem of dynamic deformation of a thin plate on 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 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. 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, under operating conditions in high-speed flows, when the direction of the front of aerodynamic loads, formation of shock waves or shock waves, and unsteady heating caused by convective heat transfer or the heat of chemical reactions (oxidation, catalysis).

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