STUDYING DYNAMICS OF A CANTILEVER BAR WITH VARIABLE BENDING STIFFNESS

Abstract

In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropiccantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the finitedifference method has been applied using a regular one-dimensional (linear) grid. The finite-difference equations developed by the authors for point-distributed masses along the length ofthe wedge are presented, taking into account the linearly variable bending stiffness. On this basis,the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamicforces and deflections) in the resonant and near-resonant regions have been obtained. The contentof theoretical provisions and applied results can be widely used in the scientific and engineeringfields and in the field of mechanics of structures.