Dynamics of the cutting mechanism with flexible support and non-ideal forcing

Dynamics of a cutting mechanism, which is a double-slider one where one of the sliders represents the cutting tool, is investigated. Mechanism is subjected to non-ideal forcing. The constant cutting force requires the driving torque to be the function of the angular velocity of the driving crank. Mechanism examined involves rigid elements but elastic support. The cutting mechanism with the elastic support is modeled as a two-degree-of-freedom system whose motion is described with two coupled second order nonlinear differential equations. For the non-ideal case the steady-state dynamics of the system is examined by introducing the approximate analytical solution of the averaged differential equations of motion for the case of primary resonance. Parameters of the system are varied and their influence on the motion is tested. The analytically obtained solution is compared with exact numerical one and shows a good agreement. The ideal forcing case, when the motion of the mechanism is with constant angular velocity, is also analyzed. For this case the steady-state motion is obtained analytically, too.