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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2015 Volume 15, Issue 4, Pages 442–451 (Mi isu612)

This article is cited in 3 papers

Mechanics

The geometrical irregular plates under the influence of the quick changed on the time coordinate forces and temperature effects

G. N. Belostochny, O. A. Myltcina

Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia

Abstract: 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. Quantitative analysis of the influence of the geometrical and thermomechanical parameters of elastic system on the change of bending and the character of oscillation of the points of medial surface is carried out.

Key words: plate, geometrical irregularity, damping, динамика dynamics, thermoelasticity, generalized functions, convective heat exchange, concentrated force, temperature.

UDC: 539.3

DOI: 10.18500/1816-9791-2015-15-4-442-451



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