Modelling of the Guillotine Cutting Process by Means of a Symmetrical Blade with the Defined Geometry

Abstract

This paper modelled the cutting process of a bundle consisted of ultra-thin cold-rolled steel sheets using a guillotine. The geometry of a cutting tool with given dimensions was assumed. A bundle of sheets being cut was modelled as deformable, the cutting tool was rigid, and the finite element method along with computer system LS-DYNA was employed. Numerical simulations of the complex state of stress and of the corresponding complex state of strain were carried out. Cutting processes belong to fast changing physical phenomena, and therefore, highly nonlinear dynamical algorithms were applied in order to solve this particular problem. Experimental investigations were also conducted by means of the scanning electron microscopy. It was found that the fracture region consisted of two distinct zones: brittle and ductile separated from each other by the interfacial transition. Morphological features of the brittle, ductile, and the transition regions were identified. The ductile and brittle zones were separated at the depth of ca. 1/5 thickness of the cut steel sheet. Finally, the numerical results obtained by usage of the finite element method as well as experimental ones in the form of microscopic images were compared, showing quite good agreement.

Control System Design of an Underactuated Dynamic Body Weight Support System Using Its Stability

“…The mathematical description of synthetic ropes is a highly complex problem and the existing modeling approaches to this issue require experimental testing [ 63 ]. Complex numerical modeling of ropes taking into account the individual fibers of the structure using the finite element method, similar to modeling composite materials, is also often used [ 64 , 65 , 66 , 67 , 68 , 69 ]. However, this approach makes it impossible to analyze the stability of the control system.…”