Dynamics of mechanical actions on materials. XI. System with two irreversibly deformable bodies

A theological model and the dynamics of an open mechanical system are consi dered including the elastic element of a machine and a composite body consi sting of two successively joined irreversibly deformable bodies with a sing le degree of freedom under the action of an external force. On loading the system below the elastic limit for both bodies the motion of the mechanical system is described by a second order classical dynamic system. Above the elastic limit for one of the bodies system movement is described by a third order dynamic system, and above the elastic limit for both bodies by a dyn amic system consisting of two third order differential equations. The solut ion of this dynamic system has the nature of damping oscillation with an in crease in dumping factor as there is an increase in the ratio of elastic st iffnesses and strain hardenings to the viscous resistances of the deformabl e bodies.