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1、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 bended

2、without 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 pr

3、ocess 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 transmiss

4、ion 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

5、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 con

6、trol 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-sec

7、tion 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 formin

8、g 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

9、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 loade

10、d 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

11、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

12、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 con

13、tact 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 m

14、aterial 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

15、 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 bendi

16、ng. 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

17、 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 c

18、an 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 accu

19、racy 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(guò)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?

20、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(guò)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(guò)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(guò)程。通 過(guò)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

21、通過(guò)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(guò)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(guò)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(lái)建立相結(jié)合的幾何構(gòu)型 為三輥彎曲的過(guò)程 。 2、對(duì)現(xiàn)有的控制系統(tǒng)的產(chǎn)品模型進(jìn)一步開(kāi)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(lái)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(guò)數(shù)學(xué)模 型，

22、確定上輥對(duì)板內(nèi)部彎曲阻力，多通過(guò)四輥薄板彎曲行動(dòng)隨的原則，彎曲的過(guò)程中為單一通過(guò)和多次通過(guò)彎曲?；趯?duì)稱的做法，以確定 該地區(qū)的板塊推出，在順利形成彎曲板。分析模型估計(jì)上輥位置作為 期望曲率半徑功能，為多通過(guò)三輥形成圓筒，就彈性模量 (e)而論實(shí) 際變動(dòng)的變形 之下可知，計(jì)算大于恒定值的。 3、總上所述僅有的研究是可利用在連續(xù)三輥卷制成形的板材。 試驗(yàn) 的分析是難明確地發(fā)現(xiàn)上輥位置作為期望曲率半徑功能并且它通過(guò) 非線性規(guī)劃要求對(duì)封閉環(huán)形控制或者 CNC 的用途控制系統(tǒng)可能改進(jìn) 準(zhǔn)確性和過(guò)程的一貫性，但這樣系統(tǒng)承購(gòu)和維護(hù)是昂貴的，并且不是 中小規(guī)模的卷板制造者可能付得起的對(duì)。當(dāng)前分析的目的將明確

23、開(kāi)發(fā) 模型為上輥位置作為期望曲率半徑功能為圓柱形殼彎曲因此根據(jù)分 析和經(jīng)驗(yàn)主義的方法。 經(jīng)驗(yàn)?zāi)Ｐ捅婚_(kāi)發(fā)根據(jù)上輥位置對(duì)被滿載的曲率半徑，中心距獲得為兩下輥半徑之間的。在三輥彎曲的 過(guò)程，在一張或幾張通過(guò)板材由兩個(gè)側(cè)輥和滿載的曲率半徑對(duì)通過(guò)調(diào)整中心上輥?？梢愿淖儍蓚?cè)輥之間的距離。 在變形期間，所有三輥軸被設(shè)置 互相平行。卷板機(jī)的大小由參數(shù)定義。例如最大的彎曲半徑以板材的 最大間距和設(shè)計(jì)的厚度和相當(dāng)數(shù)量平直的部分保留在板材的端部。 4、結(jié)論對(duì)三輥卷板機(jī)分析與實(shí)證模型的實(shí)驗(yàn)驗(yàn)證，推導(dǎo)出以下重要結(jié)論： （ 1）分析模型基于概念 3，它體現(xiàn)了上輥位置是期望曲率半徑 的函數(shù)，簡(jiǎn)化了計(jì)算過(guò)程。 （ 2）實(shí)證結(jié)果表明，基于概念 3 的實(shí)驗(yàn)和分析結(jié)果，證明了有 關(guān)過(guò)程的正確性。 （ 3）對(duì)于中小型規(guī)模的 生產(chǎn)廠家，由于其生產(chǎn)量小，所以不需要 購(gòu)買自動(dòng)閉環(huán)控制系統(tǒng)，發(fā)展模式被證明是估算所需產(chǎn)品機(jī)械參數(shù)的 最簡(jiǎn)便的工具。 （ 4）在回彈過(guò)程，初應(yīng)變和彈性模量變化的影響，分析 /實(shí)證模 型，將進(jìn)一步提高上輥位置的計(jì)算精度。