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附录 Analytical and empirical modeling of top roller position for three-roller cylindrical bending of plates and its experimental verification The 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 system 1、 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 production does not permit the acquisition of automated close loop control systems, developed models can be proved to be simple tool for the first hand estimation of machine setting parameters for required product dimensions. (4) Consideration of effect of initial strain and change of modulus of elasticity during deformation on spring back, in analytical/empirical model will further improve the accuracy of prediction of top roller position. (5) Further, empirical model based on the experimental loaded curvature distribution between roller supports would consider the top roller-plate contact point shift and will lead to more accurate prediction of top roller position. 通过实验确认的三辊卷板机上辊 位置的分析和经验模型 本文研究的水平对称式卷板机特点如下:采用水平下调式,即 下 辊可作水平移动,可实现不用调头便可预弯端头,使进料、对中、预弯、卷圆、矫圆整个卷板过程连续完成,利于提高生产效率,降低工人劳动强度;设置板料对中装置和支承辊装置,利于提高卷板精度和卷板质量;采用全液压驱动,使设备结构简化,便于卷板过程中的速 度和压力控制,起停、换向灵活,运行平稳,操作方便;结构简单, 便于操作和维护维修,符合现场技术工人的操作和维修水平,高效实用。 1、本文是研究形成的圆柱壳的大多是讨论的建模和分析的过程。通 过几何分析对三辊对称式卷板机的弹塑性弯曲,假设三角力矩分配之 间的轧辊。发展模式的弯曲力和弯矩的基础上,上辊通过在两下辊对 称中央作上下移动,而两下辊的左、右旋转。所描述的闭环板形控制 的三辊弯曲的过程。由提出的 计 划,完成板形控制测量加载的形状,加载和有效刚度的材料。在讨论的分布曲率和弯矩在按照位移和旋 转的辊模拟变形的工件与 U 形截面的过程中和他们之间的关系,弯 矩和曲率的工件由初等方法。这是进一步用来建立相结合的几何构型 为三辊弯曲的过程 。 2、对现有的控制系统的产品模型进一步开发,以获得与常数和连续 变曲率。模型的使用在模拟制造圆柱壳从板,这就需要连续弯曲,这 就得到了事先的弯曲资料。他们用重叠包括来自事先的弯曲的塑料的 地域的连续的交叠处理二维的三点弯曲做模型程序了。通过数学模 型,确定上辊对板内部弯曲阻力,多通过四辊薄板弯曲行动随的原则,弯曲的过程中为单一通过和多次通过弯曲。基于
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