The continuous annealing unit integrates the cleaning, annealing, leveling, and finishing processes of cold-rolled strip. Compared with the traditional cover furnace annealing process, it has the advantages of short production cycle, compact layout, easy production management, high labor productivity and excellent product quality. Among them, a continuous annealing furnace is an important part of the continuous annealing unit. According to process requirements, the continuous annealing furnace can be divided into preheating sections, heating sections, homogenizing sections, slow cooling sections, fast cooling sections, aging sections and final cooling sections. When the strip steel relies on furnace roller drive to operate in various areas of the furnace, it often undergoes flexural deformation, which seriously affects the stability of production.

The deformation of the strip steel in the continuous furnace is essentially the buckling and post-buckling deformation of the thin plate. Some literature has studied the deformation of the strip steel Naoke through experimental, analytical method and finite element method respectively. However, when studying the deformation of the belt steel at home and abroad, the thermal deformation of the furnace roller is rarely considered, and most of them are fixed rollers for research. In actual production, when the strip steel is running in the furnace, the furnace roller is partially in contact with the strip steel, and the furnace roller temperature is unevenly distributed along the roller body direction, and the shape will eventually change. Related studies show that the shape of the furnace roller has a great impact on the floating deformation of the strip steel, so it is very necessary to study the impact of the thermal deformation of the furnace roller on the floating deformation of the strip steel. Due to the enclosing and complexity of the continuous furnace retardation structure. This makes the experimental method and analytical method have certain limitations. Therefore, the author of this paper uses a factory's continuous annealing furnace as the research object and studies the impact of furnace roller thermal deformation on the belt steel through the finite element calculation method, aiming to provide a theoretical basis for selecting suitable furnace rollers and improving the belt steel flutter deformation in the continuous furnace.