Method for modelling the behaviour of a circular rolling mill

A method for modeling a behavior of a circular rolling mill, intended to roll a cylindrical part based on a setpoint,

• the circular rolling mill comprising at least one tapered roller, configured to have a movement of translation along a first direction, and a mandrel, configured to have a movement of translation along a second direction,
• the setpoint comprising a setpoint of a speed of increase of an outer diameter of the cylindrical part as a function of the outer diameter, and a setpoint for a height of the cylindrical part along the first direction as a function of a thickness of the cylindrical part along the second direction,
• the method comprising:
• obtaining a first set of parameters characteristic of the behavior of the circular rolling mill by a control formula connecting a translation speed of the mandrel along the second direction of translation to the speed of increase of the outer diameter and a function of the setpoint;
• performing a finite element computation of a value of a force exerted on the at least one tapered roller based on the first set of parameters;
• comparing the computed value of the force exerted on the at least one tapered roller with at least one permissible threshold force value that is permissible by the circular rolling mill, and
• if the computed value of the force exerted on the at least one tapered roller is greater than the at least one permissible force threshold value,
• obtaining a second set of parameters, such that the setpoint of the speed of increase of an outer diameter is not observed,
• correcting the second set of parameters to obtain a third set of parameters;
• and
• if the computed value of the force exerted on the at least one tapered roller is less than the at least one permissible force threshold value, correcting the first set of parameters by taking into account a stiffness of the mandrel to obtain the third set of parameters,
• wherein the third set of parameters are characteristic of the behavior of the circular rolling mill for the setpoint.