FEM-analysis of transverse vibrations of an axially moving membrane immersed in ideal fluid

1987 ◽  
Vol 24 (12) ◽  
pp. 2301-2313 ◽  
Author(s):  
J. Niemi ◽  
A. Pramila
Keyword(s):  
Ideal Fluid ◽  
Fem Analysis ◽  
Transverse Vibrations ◽  
Axially Moving

scholarly journals BOUNDARY CONTROL AND STABILIZATION OF AN AXIALLY MOVING VISCOELASTIC STRING UNDER A BOUNDARY DISTURBANCE

2017 ◽  
Vol 22 (6) ◽  
pp. 763-784 ◽  
Author(s):  
Abdelkarim Kelleche
Keyword(s):  
Boundary Control ◽  
Multiplier Method ◽  
Control Law ◽  
System Modelling ◽  
Unknown Boundary ◽  
Transverse Vibrations ◽  
Axially Moving ◽  
Boundary Disturbance ◽  
The Right

In this paper, we consider a system modelling an axially moving viscoelastic string subject to an unknown boundary disturbance. It is controlled by a hydraulic touch-roll actuator at the right boundary which is capable of suppressing the transverse vibrations that occur during the movement of the string. The multiplier method is employed to design a robust boundary control law to ensure the reduction of the transvesre vibrations of the string.

A numerical approach for analyzing the transverse vibrations of an axially moving viscoelastic string

2014 ◽  
Vol 05 (03) ◽  
pp. 1450005
Author(s):  
Ying Wu ◽  
Weijia Zhao ◽  
Jiang Zhu
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Memory Effect ◽  
Dynamical Behavior ◽  
Numerical Approach ◽  
Computation Cost ◽  
Viscoelastic Parameters ◽  
Transverse Vibrations ◽  
Fractional Differential ◽  
Axially Moving

In this paper, a fractional differential equation is introduced to describe the transverse vibrations of an axially moving viscoelastic string. An iterative algorithm is constructed to analyze the dynamical behavior. By conveying the memory effect of the fractional differential terms step by step, the computation cost can be greatly reduced. As a numerical example, the effects of the viscoelastic parameters on a moving string are investigated.

Exponential Stabilization of an Axially Moving Tensioned Strip by Passive Damping and Boundary Control

2004 ◽  
Vol 10 (5) ◽  
pp. 661-682 ◽  
Author(s):  
Ji-Yun Choi ◽  
Keum-Shik Hong ◽  
Kyung-Jinn Yang
Keyword(s):  
Boundary Control ◽  
Steel Strip ◽  
Active Vibration Control ◽  
Passive Damping ◽  
Control Laws ◽  
Transverse Vibrations ◽  
Control Objective ◽  
Boundary Force ◽  
Axially Moving ◽  
The Right

In this paper, we investigate an active vibration control of a translating tensioned steel strip in the zinc galvanizing line. The dynamics of the moving strip is modeled as a Euler-Bernoulli beam with non-linear tension. The control objective is to suppress the transverse vibrations of the strip via boundary control. A right boundary control law based upon the Lyapunov second method is derived. It is revealed that a time-varying boundary force and a suitable passive damping at the right boundary can successfully suppress the transverse vibrations. The exponential stability of the closed-loop system is proved. The effectiveness of the control laws proposed is demonstrated via simulations.

scholarly journals Transverse Vibrations and Stability of Axially Traveling Sandwich Beam With Soft Core

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Xiao-Dong Yang ◽  
Wei Zhang ◽  
Li-Qun Chen
Keyword(s):  
Critical Speed ◽  
Natural Frequencies ◽  
Sandwich Beam ◽  
Axial Loading ◽  
Core Layer ◽  
Soft Core ◽  
Axially Moving Beam ◽  
Transverse Vibrations ◽  
Axially Moving ◽  
The Galerkin Method

The transverse vibrations and stability of an axially moving sandwich beam are studied in this investigation. The face layers are assumed to be in the membrane state, which bears only axial loading but no bending. Only shear deformation is considered for the soft core layer. The governing partial equation is derived using Newton's second law and then transferred into a dimensionless form. The Galerkin method and the complex mode method are employed to study the natural frequencies. In comparison with the classical homogenous axially moving beam, the gyroscopic matrix is no longer skew-symmetric because of the introduction of the soft core. The critical speed for the divergence of the axially moving sandwich beam is analytically obtained. The contribution of the core layer shear modulus to the natural frequencies and critical speed is discussed.

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