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Thermally induced vibration of an annular plate subjected to the oscillating heat stream

Kidawa-Kukla J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2012

Vol. 11, nr 4

65-74

A solution of the problem of the thermally induced transverse vibration of an annular plate is presented. One assumes that the plate temperature changes by periodic oscillation of the heat stream in a ring region on one side of the plate. The axisymmetric temperature distribution in the plate is determined by the conductivity equation and corresponding initial and boundary conditions. The heat conduction problem in the plate and the problem of transverse vibration of the plate is solved by using the Green's function method.