附錄 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. 通過實(shí)驗(yàn)確認(rèn)的三輥卷板機(jī)上輥 位置的分析和經(jīng)驗(yàn)?zāi)Ｐ?本文研究的水平對(duì)稱式卷板機(jī)特點(diǎn)如下：采用水平下調(diào)式，即 下 輥可作水平移動(dòng)，可實(shí)現(xiàn)不用調(diào)頭便可預(yù)彎端頭，使進(jìn)料、對(duì)中、預(yù)彎、卷圓、矯圓整個(gè)卷板過程連續(xù)完成，利于提高生產(chǎn)效率，降低工人勞動(dòng)強(qiáng)度；設(shè)置板料對(duì)中裝置和支承輥裝置，利于提高卷板精度和卷板質(zhì)量；采用全液壓驅(qū)動(dòng)，使設(shè)備結(jié)構(gòu)簡(jiǎn)化，便于卷板過程中的速 度和壓力控制，起停、換向靈活，運(yùn)行平穩(wěn)，操作方便；結(jié)構(gòu)簡(jiǎn)單， 便于操作和維護(hù)維修，符合現(xiàn)場(chǎng)技術(shù)工人的操作和維修水平，高效實(shí)用。 1、本文是研究形成的圓柱殼的大多是討論的建模和分析的過程。通 過幾何分析對(duì)三輥對(duì)稱式卷板機(jī)的彈塑性彎曲，假設(shè)三角力矩分配之 間的軋輥。發(fā)展模式的彎曲力和彎矩的基礎(chǔ)上，上輥通過在兩下輥對(duì) 稱中央作上下移動(dòng)，而兩下輥的左、右旋轉(zhuǎn)。所描述的閉環(huán)板形控制 的三輥彎曲的過程。由提出的 計(jì) 劃，完成板形控制測(cè)量加載的形狀，加載和有效剛度的材料。在討論的分布曲率和彎矩在按照位移和旋 轉(zhuǎn)的輥模擬變形的工件與 U 形截面的過程中和他們之間的關(guān)系，彎 矩和曲率的工件由初等方法。這是進(jìn)一步用來建立相結(jié)合的幾何構(gòu)型 為三輥彎曲的過程 。 2、對(duì)現(xiàn)有的控制系統(tǒng)的產(chǎn)品模型進(jìn)一步開發(fā)，以獲得與常數(shù)和連續(xù) 變曲率。模型的使用在模擬制造圓柱殼從板，這就需要連續(xù)彎曲，這 就得到了事先的彎曲資料。他們用重疊包括來自事先的彎曲的塑料的 地域的連續(xù)的交疊處理二維的三點(diǎn)彎曲做模型程序了。通過數(shù)學(xué)模 型，確定上輥對(duì)板內(nèi)部彎曲阻力，多通過四輥薄板彎曲行動(dòng)隨的原則，彎曲的過程中為單一通過和多次通過彎曲?；?