Active Vibration Control of Moving Web with Varying Density

Journal of Low Frequency Noise, Vibration and Active Control

et al. 2019

Self Cite

An axially moving printing web with variable density in a printing process causes a geometric nonlinear vibration, and a nonlinear vibration system is established using the von Karman nonlinear plate theory and the D'Alembert principle. The time and displacement variables are separated using the Galerkin method. The ordinary differential equation of a web is solved using the method of multiple scales. The amplitude-frequency response equation of a moving web is obtained. The time histories, phase-plane portraits, and amplitude-frequency curves of the system are obtained by numerical calculations. The influence of different dimensionless speeds and variable density coefficients on the nonlinear vibration characteristics of the printing web is analyzed. The results show that the overprinting accuracy can be ensured by making a reasonable choice of web speed in the stable region.

Section: Introductionmentioning

confidence: 99%

“…Ma et al. 27 employed a sub-optimal control method to control the linear vibration of a moving web with variable density.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration and stability of a moving printing web with variable density based on the method of multiple scales

Journal of Low Frequency Noise, Vibration and Active Control

et al. 2019

Self Cite

“…Also, the influence of system parameters on the stability region was developed. Parametric vibration and dynamic stability of the printing paper web with multi-roller supports and the active vibration control of the web were also studied by Wu et al 35 and Ma et al 36 Nonlinear dynamical analysis of interaction between a three-dimensional rubberlike membrane and liquid in a rectangular tank was studied in Parasil and Watanabe. 37 The large deflection vibration characteristics and stability of the moving membrane are researched.…”

Section: Introductionmentioning

confidence: 99%

“…35 and Ma et al. 36 Nonlinear dynamical analysis of interaction between a three-dimensional rubberlike membrane and liquid in a rectangular tank was studied in Parasil and Watanabe. 37…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration characteristics and stability of the printing moving membrane

Journal of Low Frequency Noise, Vibration and Active Control

et al. 2017

Self Cite

Most studies on the membrane vibration are limited to discussing small deflection linear problems, but rarely on the study of nonlinear large deflection problems. In practice, however, membrane deflection is not necessarily far less than the thickness, so it is necessary to research the large deflection vibration problems of moving membrane. In this paper, the large deflection vibration characteristics and stability of the moving printing membrane are analyzed. Large deflection vibration equation of an axially moving membrane is derived by using Von Karman nonlinear plate theory. The large deflection vibration of rectangle moving membrane with four edges fixed boundary is studied by using the Bubnov-Galerkin method which is a semi-analytical-weighted residual method, and the large deflection vibration complex frequency curves along with the change of speed and aspect ratio in the different initial conditions are obtained. The results show that the large deflection nonlinear vibration can be effectively avoided by increasing membrane aspect ratio and decreasing the membrane dimensionless velocity. The study provides theoretical basis for improving the operation stability of the printing equipment.

“…Gupta and Khanna [17] and Zhou and Wang [18] studied the vibration characteristics of the viscoelastic plate with parabolic variable thickness. The suboptimal control method was applied to control the variable density of the moving web by Ma and her coworkers [19]. Sheet flutter and the interaction between sheet and air were analyzed by Pramila [20]; the results showed that surrounding air had an impact on the critical velocities and the eigenfrequencies.…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction

et al. 2017

Shock and Vibration

Self Cite

The vibration model of moving membrane with variable density distribution is established, and the density distribution of the moving membrane varies along the lateral direction. The transverse vibration differential equations of moving membrane are established based on D' Alembert's principle and discretized by using the differential quadrature method (DQM). The relationships of the first three dimensionless complex frequencies between dimensionless speed, density coefficient, and tension ratio of the membrane are analyzed by numerical calculation. The effects of the density coefficient and the tension ratio on transverse vibration characteristics of the membrane are investigated. The relationship between density coefficient and critical speed is obtained. The numerical results show that the density coefficient and the tension ratio have important influence on the stability of moving membrane. So the study provides a theoretical basis for improving the working stability of the membrane in the high-speed printing process.