EXTRACTION OF ELASTIC, VISCOUS AND INERTIAL COMPONENTS FROM THE TOTAL REACTION OF AN ADDITIONAL SUPPORT ATTACHED TO A RECTANGULAR PLATE

The paper deals with a mechanical system consisting of hinged rectangular plate and an additional viscoelastic support considering its mass-inertia. impact the characteristics on strained state is studied by original approach extracting elastic, viscous inertial components from total reaction. assumed to be medium thickness, elastic isotropic. Timoshenko hypothesis used for deformation equations. external non-stationary force initiates vibrations. replaced action three unknown independent concentrated forces. basic formulas deriving Volterra integral equations are proposed. then solved numerical analytical method. By discretizing in time reduced matrix using generalized Kramer’s algorithm block matrices Tikhonov’s regularization Note that proposed applicable other objects supports, such as beams, plates shells having various boundary contour supporting. results computing reactions given. verified matching computations two different methods, namely one reaction obtained adding components.