基于小波有限元方法的复印纸张温度场仿真研究

Simulation of Temperature Field of Copier Paper Based on Wavelet Finite Element Method

复印机定影过程的温度场仿真研究对提高定影效果具有重要意义。由于定影过程温度场变化梯度大,用传统有限元分析时存在着明显的数值振荡,引起数值失真。本文利用Daubechies小波尺度函数,构造了适用于热传导问题分析的小波单元,对复印纸张复印过程的温度场变化进行了仿真研究,并与传统的有限元方法进行了比较,显示了小波单元对于大梯度问题分析的优越性,为提高复印机的定影效果和改善复印机的性能研究提供了新方法。

The simulation of temperature field of copier paper in the copier fusing is very important for improving the fusing property of reprography. The temperature field of copier paper varies with high gradient when the copier paper moving through the fusing rollers. By means of conventional shaft elements, the high gradient temperature variety causes the oscillation of the numerical solution. Based on the Daubechies scaling functions, a kind of wavelet-based element is constructed for the above problem. The temperature field of the copier paper moving through the fusing rollers is simulated using the two methods. The comparison of the results shows the advantages of the wavelet finite element method, which provide a new method for improving the copier properties.