US 12,420,323 B1
Methods and devices for predicting roller gaps in non-steady-state processes
Yuanming Liu, Taiyuan (CN); Yiyang Zhang, Taiyuan (CN); Zhenhua Wang, Taiyuan (CN); Shuangchi Li, Taiyuan (CN); Yaxing Liu, Taiyuan (CN); Yipu Liu, Taiyuan (CN); Dongping He, Taiyuan (CN); and Tao Wang, Taiyuan (CN)
Assigned to TAIYUAN UNIVERSITY OF TECHNOLOGY, Taiyuan (CN)
Filed by TAIYUAN UNIVERSITY OF TECHNOLOGY, Shanxi (CN)
Filed on Jan. 16, 2025, as Appl. No. 19/026,179.
Claims priority of application No. 202410733601.7 (CN), filed on Jun. 7, 2024.
Int. Cl. B21B 37/58 (2006.01)
CPC B21B 37/58 (2013.01) 8 Claims
OG exemplary drawing
 
1. A method for predicting a roller gap in a non-steady-state process, executed by a terminal or a server, wherein the terminal includes a mobile device and a rolling device, the server is used for remotely controlling the rolling device, and the method comprises:
obtaining a plurality of first rolling parameters by a sensor, a thickness gauge, a velocity sensor, and an inverter;
dividing, based on the plurality of first rolling parameters, a rolling deformation zone into an inlet elastic compression zone, a plastic deformation zone, and an outlet elastic recovery zone using a predetermined rolling deformation zone division strategy;
determining, based on the plurality of first rolling parameters, a rolling force of the inlet elastic compression zone and a rolling force of the outlet elastic recovery zone through function calculations using a predetermined elastic mechanics calculation model;
determining, based on the plurality of first rolling parameters and a predetermined velocity field in a non-steady-state process deformation zone, a rolling force of the plastic deformation zone through function calculations using a predetermined energy technique;
determining a first total rolling force of the non-steady-state process deformation zone that satisfies a predetermined convergence condition based on the rolling force of the inlet elastic compression zone, the rolling force of the outlet elastic recovery zone, the rolling force of the plastic deformation zone, and a coupling relationship between the rolling forces and a roller flattening radius, including:
obtaining a total rolling force of the non-steady-state process deformation zone by summing the rolling force of the inlet elastic compression zone, the rolling force of the outlet elastic recovery zone, and the rolling force of the plastic deformation zone;
determining the roller flattening radius through a sixth predetermined function model based on the total rolling force of the non-steady-state process deformation zone and the plurality of first rolling parameters;
determining, based on a roller flattening radius in an ith iteration and a roller flattening radius in a (i−1)th iteration, whether a logical relationship between the roller flattening radius in the ith iteration and the roller flattening radius in the (i−1)th iteration satisfies the predetermined convergence condition;
in response to determining that the logical relationship between the roller flattening radius in the ith iteration and the roller flattening radius in the (i−1)th iteration satisfies the predetermined convergence condition, determining the total rolling force as the first total rolling force of the non-steady-state process deformation zone, wherein the roller flattening radius is determined through the following equation:

OG Complex Work Unit Math
wherein Ptotal denotes the total rolling force of the non-steady-state process deformation zone, R denotes the roller flattening radius, R0 denotes an original roller radius, w denotes one-half of a width 2w of a slab, Tinlet denotes one-half of an inlet thickness 2Tinlet of the slab, Tgap denotes one-half of a roller gap 2Tgap, Toutlet denotes one-half of an outlet thickness 2Toutlet of the slab, and ΔTt denotes an effect of a front tension and a back tension on the roller flattening radius; and
obtaining, based on the plurality of first rolling parameters and the first total rolling force, the roller gap through function calculations using a first predetermined function model to optimize an adjustment of roller gap parameters, wherein the roller gap is a roller gap taking into account a stiffness of a rolling mill, and the first predetermined function model includes the following equation:

OG Complex Work Unit Math
wherein Sgap denotes the roller gap taking into account the stiffness of the rolling mill, 2Tgap denotes the roller gap,

OG Complex Work Unit Math
denotes the first total rolling force, and

OG Complex Work Unit Math
denotes the stiffness of the rolling mill.