ABSTRACT

The Laplace transform is a powerful mathematical method for solving differential, difference, and integral equations. By means of these equations, one can describe any physical process and conduct mathematical modeling of the behavior of the object and of the reaction of the environment under the influence of force or other factors, investigate the dynamic properties of the element of construction, and much more. If the elastic body is subject to wave perturbations, then the displacement of particles of the elementary volume of the rod is accompanied by the appearance of stresses in it. It is known that the realization of the principle of continuity of deformations in an elastic body corresponds to the minimum value of the potential deformation energy accumulated by the body. To study the dynamic phenomena of the drive with a long force line, people use a generalized model of an inertial disk rotating at the end of the rod.