STEADY-STATE RESPONSE OF AN AXIALLY MOVING STRIP SUBJECTED TO A STATIONARY LATERAL LOAD

This paper is a study of the steady state response of an axially moving strip subjected to a constant lateral force fixed in space. The problem is studied on the basis of a thick beam theory which takes into account the effects of rotatory inertia, shear deformation and the second-order term in the normal stress due to the rotation of the strip. The steady state solution is determined analytically by applying the Laplace transform method with respect to the axial space variable. Critical speeds of the strip for which a resonance effect occurs in the system are obtained extensively for a wide range of parameters involved and compared with those from classical thin beam theory. Further, the displacement and moment profiles of the strip are obtained and shown graphically for several values of the axial tensile force and speed of the strip.