A new linearized two-degree-of-freedom model of an industrial press feed mechanism and its experimental verification are presented. By introducing a double cantilever model of the coupler with an assumed quarter sine shape function and replacing the nonlinear clutch spring by a linear torsional spring with a deflection dependent stiffness, it was possible to develop a set of two linear differential equations, which could be fully solved in an analytic manner for the dynamic responses of the coupler strain and the clutch windup angle during the feeding stroke. An associated parametric study shows insights pertaining to the relationship between the system and component frequencies and allows the formulation of certain design rules regarding the magnitudes of the coupler and clutch windup angle deflections.