Dynamic stability of three-layered annular plates with viscoelastic core

WITH VISCOELASTIC COREThree-layered, annular plate with viscoelastic core is subjected to loads acting in the plane of the plate facings.One formulates the dynamic, stability problem concerning the action of time-dependent compressive stress on a plate with imperfection.This problem has been solved.One created the basic system of differential equations in which the approximation fi nite difference method was used for calculations.The essential analysis of the problem was concentrated on evaluation of the influence of the plate imperfection rate and the rate of plate loading growth on the results of calculation of critical parameters at the moment of loss of plate stability.It determines the analysed problem of sensitivity of the plate to imperfection and loading.In the evaluation of the dynamics of this problem, the dynamic factor defi ned as the quotient of the critical, dynamic load to the static one was used.The idea of dynamic factor and the type of the accepted criterion of the loss of plate stability were taken from the Volmir's work.The observations were confirmed by comparable results of calculations of plate models built in finite element method using the ABAQUS system.The analysis of the stress state in an exemplary plate model calculated in FEM demonstrated the importance of the strength condition in total evaluation of the plate work.One achieved satisfactory correctness of results in both methods.