Method for setting roll gap of sinusoidal corrugated rolling for metal composite plate

A method for setting a roll gap of sinusoidal corrugated rolling for a metal composite plate, comprising steps of:

• step 1:
• determining entrance thicknesses h1i, and h2i, exit thicknesses h1f and h2f, a width b, and a rolling temperature Ttemp of a difficult-to-deform metal slab and an easy-to-deform metal slab according to process data of a certain pass;
• step 2:
• detecting a roll speed ω and an entrance speed ν0 of a metal composite slab, obtaining a roll radius R0;
• wherein a friction factor between a corrugating roll and the difficult-to-deform metal slab is m1, and a friction factor between a flat roll and the easy-to-deform metal slab is m2;
• step 3:
• determining parameters of a sinusoidal corrugating roll, wherein an amplitude of the sinusoidal corrugating roll is A1, a quantity of complete sinusoidal corrugations on the sinusoidal corrugating roll is B;
• then calculating a time T required for a complete corrugated rolling;
• step 4:
• according to functional minimization of a total power in a rolling deformation zone, calculating a rolling force F at any time t during the sinusoidal corrugated rolling of the metal composite plate, which comprises specific steps of:
• step 4.1:
• according to characteristics of the sinusoidal corrugating roll, establishing equations r1θ, r2θ and r3θ for describing contact surfaces between the corrugating roll and the difficult-to-deform metal slab, between the flat roll and the easy-to-deform metal slab, and between the difficult-to-deform metal slab and the easy-to-deform metal slab, respectively;
• step 4.2:
• according to natures of a flow function and the characteristics of the sinusoidal corrugating roll, establishing a velocity field and a strain velocity field in a composite slab corrugated rolling deformation zone;
• step 4.3:
• obtaining a slab deformation resistance according to the rolling temperature Ttemp of the difficult-to-deform metal slab and the easy-to-deform metal slab, an actual material type to be rolled, and a rolling schedule;
• step 4.4:
• according to the velocity field, the strain velocity field, and the slab deformation resistance, calculating a total power functional at any time t of slab corrugated rolling;
• step 4.5:
• calculating a minimum value of the total power functional at any time t, and calculating the rolling force F at any time t according to a relationship between the total power functional and the rolling force;
• and
• step 5:
• calculating the roll gap S of the corrugated rolling at any time t according to the rolling force F, and configuring a rolling mill to have the roll gap S according to an actual rolling schedule before normal production.