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基于随机电阻网络碳毡复合层力阻建模
引用本文:方玺,葛权耕.基于随机电阻网络碳毡复合层力阻建模[J].应用数学和力学,2013,34(1):63-71.
作者姓名:方玺  葛权耕
作者单位:武汉理工大学 理学院,武汉 430063
基金项目:国家自然科学基金资助项目,中央高校基本科研业务费专项资金资助项目,2012国家级大学生创新创业训练项目
摘    要:基于碳纤维单丝力阻效应影响因素的统计规律,揭示了碳毡复合层力阻传感特性的导电网络定量化模型.对碳纤维单丝相互搭接后的长度进行了讨论,得到关于纤维均长、纤维密度、纤维根数等多参量间的统计关系;在假设毡内纤维随机均匀分布且搭接点正态分布的情况下,分别对4种不同尺寸的碳纤维毡复合层的电阻进行了估测,并通过箱线图分析表明实测值在相应的估测范围内,说明本模型可较好地对碳纤维随机乱相分布的碳毡复合层电阻进行估测;最后,基于碳毡电阻网络的统计模型,对碳毡复合层的力阻特性进行了研究,通过比较理论电阻变化率与实测电阻变化率发现模型给出的复合层力阻效应灵敏系数较为稳定,从而表明随机电阻网络模型可较好的模拟碳毡受载荷时的力阻行为.

关 键 词:碳纤维毡    电阻网络    复合层    统计分析
收稿时间:2012-06-21

Modeling Based on the Random Resistance Network Carbon Felt Composite Layer
Institution:School of Science, Wuhan University of Technology, Wuhan 430063, P.R.China
Abstract:Based on the statistical rule of the influence factors of carbon fiber monofilament force-resistance effects, the conductive network quantitative model of carbon felt composite layer force resistance sensing properties was revealed. The length after the lapping of carbon fiber monofilament was discussed, and got the statistics relationship between the average length, density, number of carbon fiber; on the assumption that the fiber random uniform distributed in the felt and the lap points normal distribution, the resistances of 4 different sizes carbon fiber composite layer was estimated, and through the box plot analysis showed that the measured value in the corresponding estimation range, which showed that this model could be good for estimating the resistances of carbon felt composite layer who’s fiber random distributed; finally, basic on the statistics model of carbon felt resistance network, the force resistance effects of carbon felt composite layer was researched. Through the comparison of theory resistance change rate and the measured resistance change rate, find that composite layer force-resistance effects sensitivity coefficient the model gave is comparatively stable, and the simulated result shows that random resistance network model can imitate the resistance behavior when the carbon felt is loaded well.
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