书页搭接之摩擦力研究

FRICTION MECHANISMS OF OVERLAPPED SHEETS OF TWO BOOKS UNDER HORIZONTAL UNIAXIAL TENSION

将两本书以一页搭一页的方式联接在一起,然后向水平方向两侧拉伸,纸张间会产生机理复杂的摩擦力,摩擦力的总和可以使搭接结构的极限拉力达到很大.本文在不同搭接长度及不同搭接页数的条件下,对极限拉力进行了实测,得到了搭接长度与搭接页数对极限拉力的影响关系.对摩擦力产生机理进行了分析,给出了理论模型的公式,并通过MATLAB对相关系数进行了与实测数据的最小二乘法拟合,得到了半理论半经验的摩擦力计算公式.计算公式可以为这种特殊联接工艺的最大承载拉力计算提供参考.

Combining two books by overlapping alternately their sheets,the integrated structure generates a great friction between the paper sheets when both spines are under horizontal tensile force.The correlation between the length of overlapping and the number of sheets of overlapping is obtained by experiments.A semi-theoretical and semi-empirical friction calculation formula is obtained by the MATLAB numerical simulation and the predictions are in good agreement with the experimental data.The formula could provide a reasonable and reliable prediction of the ultimate bearing capacity for the integrated structure.