Izvestiya of Saratov University.
ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

generalized functions

Application of generalized functions in dynamical contact problems of wing aeroelasaticity

The range of problems dealing with analysis of deformed state of thin elastic wing at the oscillations in limited acoustic medium is considered in this article. The theory of generalized functions was chosen as an instrument for the mathematical research. By results of performed numerical experiment the existence of damp forces in the acoustic medium and resonance effects caused by elastic properties of the wing was confirmed. 

The Geometrical Irregular Plates under the Influence of the Quick Changed on the Time Coordinate Forces and Temperature Effects

On the basis of incoherent thermoelasticity, the dynamic behaviour of geometrically irregular plates under the influence of quick changed, on the time coordinate, forces and temperature effects on surfaces is considered. An approach allowing to obtain the analytical solution of the thermoelasticity dynamic problem for the plate under inhomogeneous boundary conditions at all four edges is suggested.