附录Analytical and empirical modeling of top roller position for three-roller cylindrical bending of plates and its experimental verificationThe charact type of level eristic of level adjust below three rollers Rolling Machine in thisinvestigation is as follows.Using the adjust,the end can be bendedwithout turn around and the whole process of plate coiling including entering、center adjusting、pre-bending、coiling、cylinder proofread can be completedcontinuously;due to whole hydraulic pressure driving protocol,the structure wassimplified,and speed and pressure was easily controlled in the process of platecoiling;The setup of the center adjusting and the equip of supporting,the preciseand quality of plate coiling was improved;owing to the simplified structure,theoperation and maintenance is easy to carried out.KeyWord: Bending Machine；the work rolls；mechanical analysis； the transmission system1、 Reported research on the forming of cylindrical shells mostly discusses the modeling and analysis of the process. reported the geometrical analysis of the single pass elasto-plastic bending of beams on the three-roller pyramid benders by assuming triangular moment distribution between the rollers. Developed model for the bending force and bending moment was based on the contact point shift between the plate and top roll from the vertical centerline of the top roll. described closed loop shape control of three-roller bending process. The presented scheme accomplishes the shape control by measuring the loaded shape, the loaded moment and effective beam rigidity of the material in real time. discussed the distribution of curvature and bending moment in accordance with the displacement and rotation of the rolls by simulating the deformation of work piece with U-shaped cross-section in a three-roller bending process. They reported the relationship between the bending moment and the curvature of the work piece by elementary method, which was further used to build up a process model combining the geometries for three-roller bending process.2、 Reported research on the forming of cylindrical shells mostly discusses the modeling and analysis of the process. reported the geometrical analysis of the single pass elasto-plastic bending of beams on the three-roller pyramid benders by assuming triangular moment distribution between the rollers. Developed model for the bending force and bending moment was based on the contact point shift between the plate and top roll from the vertical centerline of the top roll. described closed loop shape control of three-roller bending process. The presented scheme accomplishes the shape control by measuring the loaded shape, the loaded moment and effective beam rigidity of the material in real time. discussed the distribution of curvature and bending moment in accordance with the displacement and rotation of the rolls by simulating the deformation of work piece with U-shaped cross-section in a three-roller bending process. They reported the relationship between the bending moment and the curvature of the work piece by elementary method, which was further used to build up a process model combining the geometries for three-roller bending process.3、 Reported research on the forming of cylindrical shells mostly discusses the modeling and analysis of the process. reported the geometrical analysis of the single pass elasto-plastic bending of beams on the three-roller pyramid benders by assuming triangular moment distribution between the rollers. Developed model for the bending force and bending moment was based on the contact point shift between the plate and top roll from the vertical centerline of the top roll. described closed loop shape control of three-roller bending process. The presented scheme accomplishes the shape control by measuring the loaded shape, the loaded moment and effective beam rigidity of the material in real time. discussed the distribution of curvature and bending moment in accordance with the displacement and rotation of the rolls by simulating the deformation of work piece with U-shaped cross-section in a three-roller bending process. They reported the relationship between the bending moment and the curvature of the work piece by elementary method, which was further used to build up a process model combining the geometries for three-roller bending process.4、 Conclusion Developed analytical and empirical models were verified with the experiments on three-roller cylindrical bending. Following important conclusions were derived out of the reported work:(1) Analytical model based on concept 3, simplifies the calculation procedure for the machine-setting parameters as it expresses the top roller position as an explicit function of desired radius of curvature.(2) Agreement of empirical results with that of the experiments and analytical results based on concept 3 proves the correctness of the procedure.(3) For the small to medium scale fabricators, where the volume of