Stress distribution over plates vibrating at large amplitudes

The method of analysis of stress intensity distribution over vibrating plates is presented. Both the geometrical and physical nonlinearities are taken into account. It is showed that with the help of the small parameter method it is possible to obtain the expression for the transverse normal strain in a form, which is convenient for analytical transformations. The dynamic deflection is expanded into truncated series of eigenmodes and discrete model of the system is derived. The backbone curves of thin rectangular immovably simply supported plate vibrations are obtained. The stress intensity distribution patterns over the plate are analyzed. It is noted that in case of nonlinear vibrations not only the magnitudes of stress intensity depend on the vibration amplitude, but also on the pattern of its distribution. (C) 2012 Elsevier Ltd. All rights reserved.