Modeling a Viscoelastic Support Considering Its Mass-Inertial Characteristics During Non-Stationary Vibrations of the Beam

Non-stationary loading of a mechanical system consisting hinged beam and additional support installed in the span was studied using model deformation based on Timoshenko hypothesis with considering rotatory inertia shear. The partial differential equations describing solved by expanding unknown functions Fourier series subsequent application integral Laplace transform. assumed to be realistic rather than rigid. Thus it has linearly elastic, viscous, inertial components. This means that effect part vibrating considered such their displacements coincide. reaction were replaced an concentrated external force applied beam. time-dependent. time law determined solving first kind Volterra equation. methodology deriving equation for explained. Analytic formulae results computations specific numerical parameters given. impact mass value viscoelastic deflection at arbitrary points determined. research this paper can helpful engineers designing multi-span bridges.