Forced oscillations of solids installed on cantilever beam with damping

We studied the forced oscillations of the three solids installed along the cantilever beam of Euler-Bernoulli using elastic-damping connections. The hybrid system of differential equations describing motion of the system and obtained from the variational principle of Hamilton was given. The external force that causes forced oscillations was harmonic and attached to the free end of a beam. The obtained hybrid system of differential equations contained the Dirac delta function and involved the apparatus of generalized functions for studying. We described the method for solving the system of differential equations based on introduction of substitution of Green''s function type, the solution of auxiliary boundary-value problem, the method of producing solid amplitude and amplitude function of a beam. To test the proposed approach we made a comparative analysis of foreign article which had been considered the similar mechanical system with calculation of amplitude of beam end in dependence on the frequency of applied external harmonic force. The comparative analysis showed a satisfactory agreement of the calculation results.