Impact on the beam of the final length of the moving mass

There have been considered solving direct problem of deforming isotropic, elastic and hingedly supported beam finite length. A roller moving at a constant speed along the axis acts on beam. The has cylindrical shape certain radius length that is greater than or equal to width differential equations motion are analyzed from point view influence their components especially right-hand parts dynamic behavior in case using common materials roller, an option reduce more simplified form proposed. unknown functions included sought Fourier series. This allows us original ordinary equations, which solved Laplace transform. Expressions for coefficients series found operational calculus residue theory. results first numerical experiment study deflections presented curves figure. For specific calculated mechanical system steel moves under zero initial conditions, research graphs different speeds roller. second was carried out propagation vibrational waves sufficiently high speed. this, figure shows combined shapes position moments action mass. movement comparison with static model made. Further directions development applied fields technology inverse problems identifying parameters by indirect manifestations outlined.