基于微分求积法的印刷运动薄膜动力稳定性分析  

Dynamic stability of printing moving membrane based on differential quadrature method

作　　者：武吉梅[1] 陈媛[1] 王砚[1] 武秋敏[1] 

机构地区：[1]西安理工大学,西安710048

出　　处：《振动与冲击》2015年第20期57-60,73,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金(11272253;11202159);陕西省自然科学基金(2014JM7290);陕西省重点实验室项目(13JS081)

摘　　要：以印刷运动薄膜为研究对象进行横向振动特性及稳定性研究。建立抛物线型变密度运动薄膜计算模型。用微分求积法对运动薄膜横向振动方程进行离散,获得运动薄膜的复特征值方程。通过数值求解获得系统无量纲复频率与运动速度、密度系数、薄膜张力比的关系曲线,确定密度系数与临界速度的函数关系,分析密度系数、薄膜张力比对薄膜振动特性影响。结果表明,密度系数及张力比对薄膜稳定性有重要影响。A printing moving membrane was concerned and its transverse vibration characteristics and dynamic stability were analyzed. A calculation model of the moving membrane with parabolic density distribution was established.The transverse vibration equation of the printing membrane was discretized using the differential quadrature method,and the complex eigen value equation was obtained. The relation curves of the first three dimensionless complex frequencies versus the dimensionless velocity,the density coefficient and the tension ratio were derived by numerical calculation. The functional relationship between the density coefficient and the critical speed was determined. The effects of density coefficient and tension ratio on vibration characteristics of the membrane were discussed. The numerical results show that the density coefficient and the tension ratio have important impacts on the stability of moving membrane. The study provides a theoretical basis for optimizing the structure of printing press and improving the working stability of high-speed moving membranes.

关 键 词：印刷运动薄膜 动力稳定性 微分求积法 抛物线变密度 

分 类 号：TS803.6[轻工技术与工程]