Study of quasi-static behavior of a system with partially distributed parameters under combined loading

Abstract

Abstract The problem of the existence of a quasi-static process described by the solution of a system of differential equations is considered. The possibility of quasi-static deformation of a cantilever bar, at the end of which there is a concentrated mass exceeding the mass of the bar has been studied. The bar is loaded with tracing and horizontal forces. A condition has been obtained under which the bending of a bar can be studied on the basis of the solution of the static problem used in the theory of small vibrations.