紙張離開滾輪後之動態行為的模擬分析

Simulating Analysis on the Dynamic Behavior of a Paper Exiting the Rollers of Paper Feeding Mechanism

吳俊逸(Chuan-I Wu)

指導教授 ： 陳正光

國立臺北科技大學/機電學院/精密機構設計產業研發碩士專班/碩士(2007年)

摘要

現今市面上印表機已朝快速列印、高解析度與精密定位發展，消費者選購時兩個重要的考慮因素為列印品質與列印速度，而送紙機構之性能對此兩個因素有直接的影響。紙張在送紙機構中的動態行為是一個相當重要的關鍵，因此值得深入探討研究。本研究探討紙張離開不同方式的出口後的動態行為，利用動態分析軟體L S ﹣DYNA進行模擬分析，首先模擬紙張以等速度離開平板之動態行為，並與現有文獻上的結果做比較，確定所建構之紙張動態特性符合文獻上之結果，再建立印表機送紙機構之模型，模擬紙張通過兩滾輪間及一滾輪與一平板之間後的動態行為並與實驗做一比較。模擬分析發現：(1)紙張離開滾輪的線速度愈大，紙張前緣下垂的長度愈小；(2)滾輪正向力愈大時，紙張前緣下垂的長度會愈小，但正向力之影響不會比滾輪切線速度大；(3)滾輪半徑越大，紙張前緣下垂的長度越小。最後，依據模擬結果推導設計送紙機構之滾輪大小、滾輪轉速及滾輪幾何位置等參數之關係，期能利用此研究結果提升設計階段的開發速度與品質。

關鍵字

印表機 ； 紙張 ； 動態行為 ； 滾輪 ； 模擬分析

並列摘要

Nowadays, the development of printers has been toward fast printing, high resolution and high precision. Two important factors that dominate the consumer’s decision on purchasing are printing quality and printing speed. The performance of paper feeding mechanism has direct influence to these two factors. The dynamic behavior of paper in the paper feeding mechanism is very important and critical; therefore, it is worth to do a further research on the paper behavior. The purpose of this research is to investigate the behavior of paper exiting from different ways of channels, especially from rollers. The study employs dynamic simulation software---LS-DYNA to perform simulation analysis. Firstly, let paper to exit from an open plate with a constant velocity to verify the results of the literature. It confirms the accuracy of the software. Then, we simulate the paper exiting from a pair of rollers, and from a plate with a roller. Parts of these results are compared with the results of the experiments. We found that (1) The faster the paper exits the rollers, the shorter the front edge of the paper drops; (2) The lager the normal forces the rollers apply, the shorter the front edge of the paper drops, however, the influence of normal force is less than that of the exiting speed of the paper; (3) The larger the roller’s radius is, the shorter the front edge of the paper drops. Finally, we derive the relations between the roller’s size, the rotational speed of the roller and geometrical positions of the rollers in accordance the results of the simulations. We hope the results could be helpful to promote the design of paper feeding mechanism in the aspects of speed and quality during design stage.

並列關鍵字

Printer ； Paper ； Dynamic Behavior ； Roller ； Simulating Analysis

參考文獻

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[3] Hunter, S. C.,“The Rolling Contact of a Rigid Cylinder With a Viscoelastic Half Space”, Journal of Applied Mechanics,December,1961,pp.611-617.

[4] Bental, R. H., Johnson, K. L.,“Slip in the Rolling Contact of Tow Dissimilar Elastic Rollers”,International Journal of Mechanical Science,Vol.9,1967,

[6] Hahn, H. T., Levinson, M.,“Indentation of the an Elastic Layers Bonded to a Rigid Cylinder-Ι. Quasistatic Case Without Friction”, International Journal of Mechanical Science,Vol.16,1974,pp.489-502.