Mechanical analysis of edge bending mode for four-roll plate bending process

A mathematical model is developed for simulating the mechanics of edge bending mode for four-roll plate bending process. The governing differential equations for large deflection of elastic-perfectly plastic thin plate is derived and solved semi-analytically. The physical quantities important for operation, such as the shift of plate contact angle with rolls, the forces applied on rolls and the position setup of side roll, etc. are all evaluated and shown graphically as the function of the desired finished curvature of plate. Various effects of bender system parameters on these physical quantities are also studied.