非均匀张力作用下运动薄膜的稳定性研究  

The study of stability of the moving membrane under non-uniform tension

作　　者：王砚[1] 聂子恒 武吉梅[2] 陈媛[2] 景涛[2] 郭旭侠[3] 

机构地区：[1]西安理工大学土木建筑工程学院,陕西西安710048 [2]西安理工大学印刷包装与数字媒体学院,陕西西安710048 [3]宝鸡文理学院机械工程学院,陕西宝鸡721016

出　　处：《西安理工大学学报》2016年第1期58-62,共5页Journal of Xi'an University of Technology

基　　金：国家自然科学基金资助项目(11272253;11202159;11302003)

摘　　要：文章研究了非均匀张力作用下运动薄膜的动力特性及其稳定性问题。以轴向运动薄膜为模型,建立非均匀张力作用下运动薄膜的计算模型,推导运动薄膜在面内非均匀张力作用下的运动微分方程,采用微分求积法,建立运动系统的复特征值方程。通过数值求解,得到了系统复频率的实部与薄膜长宽比、速度及张力变化系数的关系曲线,并分析了张力变化系数、长宽比和运动速度等参数对薄膜动力特性及稳定性的影响。The dynamic characteristics and stability of the moving membrane under non-uniform tension are studied in this paper. The axially moving membrane is taken as a model. The calculation model of the moving membrane under non-uniform tension is established. The motion differential equation of the membrance under inhomogeneous tension is derived,and the complex special value equation in motion system is established using differential quadrature method. The relation curves of the aspect ratio,speed and tension variation coefficient of the real part and membrane of the complex frequencies in the system can be obtained through numerical calculation. The effects of the tension variation coefficient,the aspect ratio and the speed on the dynamic characteristics of the membrane are analyzed.

关 键 词：非均匀张力 运动薄膜 稳定性 

分 类 号：O321[理学—一般力学与力学基础]