The Impact of Local Heating Time of the Compressed Column on its Stability

Abstract

The present paper considers the influence of activity time of a local heat source on the stability of a supporting system (column) subjected to the Euler’s external load. Constant heat having impact on the entire circumference of the column on a chosen length was adopted as the boundary heat flux. The formulation and solution of the initial-boundary problem of heat transport in the column was presented by means of the Finite Element Method (FEM). The stiffness of particular segments of the column, onto which it was divided, was determined on the basis of the obtained temporary temperature distributions. The boundary problem of stability of the system was formulated and solved with the inclusion of material changes, resulting from the influence of high temperature. The paper presents the results of numerical simulations, defining the change of a critical load parameter of the system as the function of heating time with the inclusion of stiffness of the supported structure and various positions of the heat flux influence