【摘要】：翻領(lǐng)制袋成型器在立式成型充填封口機(jī)中應(yīng)用普遍，是封口機(jī)的重要部件，對包裝袋的成型質(zhì)量、效率等影響重大。本文主要研究翻領(lǐng)制袋過程中薄膜材料上每條流線保持其形狀的力學(xué)平衡問題，而制袋時(shí)薄膜材料的受力情況與成型器的參數(shù)相關(guān)，通過微分幾何方法建立翻領(lǐng)成型器的數(shù)學(xué)模型有利于力學(xué)分析，是對薄膜制袋成型過程分析的基礎(chǔ)。 首先，，翻領(lǐng)制袋成型器的工作曲面為可展曲面，通常認(rèn)為其肩曲面的一半是由一個(gè)單錐面形成的，記為單錐面翻領(lǐng)制袋成型器，本文中以圓形管單錐面翻領(lǐng)制袋成型器為代表，通過微分幾何方法建立了其曲面曲線的數(shù)學(xué)模型，利用所推導(dǎo)的領(lǐng)口交接曲線和邊界曲線的數(shù)學(xué)方程，并在三維軟件中建立相應(yīng)的三維曲面模型來進(jìn)行驗(yàn)證，以用于指導(dǎo)設(shè)計(jì)和制造。 其次，擴(kuò)展了肩曲面錐面的數(shù)量，以圓形管三錐面翻領(lǐng)制袋成型器為研究對象，總結(jié)兩錐面拼接保持可展?jié)M足的約束條件，用微分幾何的理論，建立多錐面翻領(lǐng)制袋成型器兩相鄰錐面頂點(diǎn)及領(lǐng)口交接曲線方程系數(shù)之間的迭代關(guān)系，用迭代的方式求得各段領(lǐng)口交接曲線的方程，推導(dǎo)了各個(gè)錐面及其邊界曲線的數(shù)學(xué)方程，并在三維軟件中建立相應(yīng)的三維曲面模型來進(jìn)行驗(yàn)證，同時(shí)也對肩曲面的錐面數(shù)量趨于無窮多時(shí)，肩曲面出現(xiàn)切線面的情況進(jìn)行了初步的探討。 最后，在微分幾何建立的翻領(lǐng)成型器曲面數(shù)學(xué)模型的基礎(chǔ)上，對翻領(lǐng)成型器各部分區(qū)域的流線建立了流線方程，并計(jì)算了肩曲面部分流線的包角、流線在交接曲線上的夾角以及肩曲面區(qū)域流線曲率的數(shù)學(xué)方程，探討了將材料拉過翻領(lǐng)制袋成型器所需的拉力與摩擦系數(shù)和成型器流線曲率之間的關(guān)系，指出了改善制袋過程阻力的方法，為翻領(lǐng)制袋過程中材料保持其力學(xué)平衡提供一定的理論依據(jù)，對翻領(lǐng)制袋成型器領(lǐng)口交接曲線處材料偏移的原因也進(jìn)行了一定的理論研究，作出了在忽略摩擦力、不考慮材料厚度及跑偏的情況下，翻領(lǐng)制袋過程中，材料流線是不受其它流線橫向力的作用的推斷。
[Abstract]:Lapel bag forming machine is widely used in vertical packing and sealing machine. It is an important part of sealing machine and has a great influence on the forming quality and efficiency of packing bag. In this paper, the mechanical balance of every streamline in the film material to keep its shape in the process of lapel bag making is studied, and the mechanical condition of the film material is related to the parameters of the moulding device. The establishment of mathematical model of lapel molder by differential geometry is beneficial to mechanical analysis and is the basis of the analysis of film bag making process. First of all, the working surface of the lapel bag maker is a developable surface, and it is generally considered that half of its shoulder surface is formed by a single cone, which is described as a single cone pocket maker. In this paper, the circular tube and single conical lapel bag maker is taken as the representative. The mathematical model of the curved surface curve is established by the differential geometry method. The mathematical equations of the neckline junction curve and the boundary curve are derived, and the corresponding 3D surface model is established in the 3D software. To guide design and manufacturing. Secondly, the number of shoulder surface conical surface is expanded. Taking the circular tube tri-cone turn-over bag maker as the research object, the constraint conditions of the two conical splicing to keep developable are summarized, and the theory of differential geometry is used. The iterative relationship between the coefficients of the two adjacent conical vertices and necklines of a multi-cone lapel bag making machine is established. The equations of the neckline transition curves are obtained by iterative method, and the mathematical equations of the conical surfaces and their boundary curves are derived. At the same time, when the number of conical surface of shoulder surface tends to infinity, the tangent surface of shoulder surface is preliminarily discussed. Finally, on the basis of the mathematical model of the turn-collar molding surface established by differential geometry, the streamline equation is established for each part of the turn-over molding, and the envelope angle of the shoulder surface is calculated. The mathematical equations of streamline angle on the junction curve and streamline curvature in shoulder and surface region are discussed. The relationship between the tension required to pull the material over the lapel bag moulder and the friction coefficient and the streamline curvature of the moulder is discussed. The method of improving the resistance of bag making process is pointed out, which provides a certain theoretical basis for the material to maintain its mechanical balance in the process of bag making of lapel. The reason of the material deviation at the neckline of the bag maker is also studied theoretically. It is inferred that the material streamline is not affected by the transverse force of other streamlines in the process of lapel bag making without considering the friction force without considering the thickness and running deviation of the material.
【學(xué)位授予單位】：江南大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TB486

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