Longitudinal ultrasonic vibration assisted guillotining of stacked paper

•A dynamic model for longitudinal vibration assisted guillotining of paper is developed.•Empirical model of a stack of thin paper material is identified.•Novel measurement procedure for determining dynamic behavior for ultrasonic assisted cutting is developed.•Simulated cutting forces are in agreement with the experimentally recorded cutting forces. Ultrasonic vibration assisted cutting is a complex process with high dynamics. The interaction between cutting tool and workpiece is of key interest to understand the entire process. Experimental investigations are limited by the dynamics of the measurement system, and thus appropriately modeling of the ultrasonic vibration assisted cutting process is essential. In this investigation, a dynamic model regarding the ultrasonic vibration assisted guillotining of stacked paper sheets is developed. A Kelvin–Voigt material model, representing the individual sheets, is chosen, with its stiffness and damping parameters being empirically determined. A novel measurement strategy for studying the contact time and interaction between cutting tool and workpiece is introduced. It allows the verification of the highly dynamic behavior of the developed model. With the dynamic model, the experimentally observed cutting forces can be calculated. It is found that the dynamic forces cause a quicker failure of the material, which leads to a lower compression of the stack prior to reaching the critical cutting force.