Vibration characteristics and stability of a moving membrane with variable speed subjected to follower force

摘要：

　　In this paper, the vibration characteristics and stability of a moving membrane with variable speed subjected to follower force were studied.The vibration differential equation of the moving membrane is deduced by the DAlembert principle.The intermediate variables of the differential equation are discretized by the differential quadrature method, the state equation with periodic coefficients is obtained.The state equation is solved by the implicit Runge-Kutta method.According to the Floquet theory, the dynamic stability region and unstable region of the membrane are obtained, and the influence of the tension ratio, aspect ratio, average moving velocity and the follower force on the unstable region of the moving membrane are analyzed.This result provides theoretical guidance and basis for the design, manufacture and stability of the printing press.

关键词： nonlinear vibration follower force moving membrane the implicit Runge-Kutta method the Floquet theory

作者: Jimei Wu Jiajuan Qing Mingyue Shao Yan Wang Ni Li

作者单位: Faculty of Printing.Packaging and Digital Media Engineering, Xian University of Technology, Xian 7 School of Mechanical and Precision Instrument Engineering, Xian University of Technology, Xian 710 School of civil engineering and architecture, Xian University of Technology, Xian 710048, China

会议类型: 国际会议

会议名称: Eighth Symposium on the Mechanics of Slender Structures(Moss 2019)(第八届国际细长结构力学论坛)

会议地点: 上海

会议语种:英文

页码: 115-117

在线出版日期: 2019-05-24（万方平台首次上网日期，不代表论文的发表时间）