Buckling sensitivity of three-layered annular plates in temperature field on the rate of imperfection

Abstract

Paper presents the dynamic stability problem of three-layered annular plate in thermal environment. Plate is subjected to the mechanical load with forces acting in the plane of plate outer layers and temperature field defined by the temperature difference between plate edges. Mainly, the effect of the rate of plate imperfection on values of the critical parameters has been examined. Plate model has been solved analytically and numerically using the approximation methods: orthogonalization and finite differences, and finite element. Obtained values of critical temperature differences or critical mechanical loads and corresponding with them temperature differences show the dynamic reaction of examined plate on time-dependent loads and parameter connected with the plate preliminary geometry. The influence of imperfection rate on final results can be meaningful.