在准静态、无摩擦的条件下，应用级数形式的应力函数对复印机中纸张在弹性胶辊夹持下的接触问题进行了分析。模型源于复印机中的进纸单元，根据弹性理论，分别使用施密特正交化方法与无网格配点法对问题进行了求解，得到了接触区域的应力应变分布以及胶辊与纸张的表面速度比，为提高复印机胶辊的可靠性提供了参考。

A quasistatic and steady state contact problems of paper nipped in rubber rollers was analyzed by using a stress function in the form of series. The model was derived from paper feed unit of duplicating machine. The point interpolation meshfree method (PIM) and the Schmidt method were applied to obtain the solution of the dual series equations. Stress distribution and surface speed ratio of the rubber rollers and paper were obtained based on elasticity theory. The purpose was to provide reference for improving the reliability of rubber roller of duplicating machine.