摘要
本文研究了切向均布随从力作用下运动印刷薄膜的非线性振动特性。基于Von Karman薄板理论推导出轴向运动薄膜非线性振动方程,应用Galerkin方法对振动偏微分方程组进行离散,利用数值法对微分方程进行求解,得到薄膜非线性振动的频率表达式。分析了不同初始条件下,随从力和无量纲运动速度对薄膜振动复频率的影响。该研究可为印刷机的设计、制造以及印刷机的稳定性提供理论指导。
The nonlinear vibration characteristics of moving membrane subjected to follower force were investigated.Based on the Von Karman plate theory,the nonlinear vibration equation of motion of the axially moving membrane is deduced.The differential equation was divided by the Galerkin method,with the differential equation solved by the numerical method.The frequency expression of the nonlinear vibration was obtained.The effects of follower force and dimensionless velocity on the complex frequency of nonlinear vibration of moving membrane under different initial conditions were analyzed.The study provides a theoretical guidance for the design,manufacture and improvement of the stability of the press.
作者
邵明月
武吉梅
应戍狄
王砚
卢瑶
SHAO Mingyue;WU Jimei;YING Shudi;WANG Yan;LU Yao(School of Mechanical and Precision Instrument Engineering, Xi an University of Technology, Xi an 710048, China;School of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an 710048, China;School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China)
出处
《西安理工大学学报》
CAS
北大核心
2019年第1期17-22,共6页
Journal of Xi'an University of Technology
基金
陕西省自然科学基金资助项目(2018JM5023
2018JM1028
2018JM5119)
西安理工大学博士学位论文创新基金资助项目(310-252071702)
