Transverse vibration characteristics of axially moving viscoelastic plate

周银锋,; 王忠民,

doi:10.1007/s10483-007-0209-1

Cited by 35 publications

(25 citation statements)

References 11 publications

(4 reference statements)

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“…When delay time H=10 −5 , moving speed = 2, scratch depth = 0, the problem degenerates into a vibration problem of a moving viscoelastic hard membrane without scratches. The vibration natural frequency of the nonscratched moving viscoelastic hard membrane is solved and then compared with [12] as shown in Table 1.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches

Shao

Wang

et al. 2019

Mathematical Problems in Engineering

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The transverse vibration and stability of a moving viscoelastic hard printing membrane containing scratches are investigated. Based on the viscoelastic differential constitutive relation, thin plate theory, and d' Alembert principle, the differential equation of a moving viscoelastic hard membrane with a straight scratch through the surface is derived by using the continuity condition of the scratches. The complex characteristic equation is obtained by using the differential quadrature method. The effects of the scratch depth and scratch position on the critical instability speed of the moving hard membrane were highlighted by solving the differential equation and numerical calculation, and the coupling effects of speed and scratch depth on vibration characteristics of the hard membrane are also analyzed. Numerical calculation results show that the hard membrane experiences divergence instability when the actual printing speed is v=23.2 m/s, and the membrane is stable when v<23.2 m/s. The theoretical guidance and method for scratches detection of the precision coated hard membrane are provided.

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Section: Numerical Resultsmentioning

confidence: 99%

“…Comparison between the natural frequencies of a moving viscoelastic hard membrane and[12](c=2, H=10 −5 ).…”

mentioning

confidence: 99%

Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches

Shao

Wang

et al. 2019

Mathematical Problems in Engineering

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“…1 Because of the complexity of the mathematical model of an axially moving plate, many types of numerical methods, such as the mixed Finite Element Method (FEM), modal spectral element method, and finite strip method have been used. [2][3][4][5][6][7][8] In addition, Ghayesh and Amabili reported the geometrical nonlinear dynamics of an axially moving plate based on the direct time integration method. 9 Using the pseudo-arclength continuation technique, Ghayesh et al investigated the nonlinear dynamics of the forced motion of an axially moving plate and the effect of system parameters, such as the axial speed and pretension on resonant responses.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of an Axially Moving Plate Based on Sound Time-Frequency Analysis

Lu¹,

Shao²,

Wu³

et al. 2018

IJAV

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In some types of non-contact measuring systems, vibrating motion has negative effects on accuracy. Therefore, there is a need to analyze and monitor the motion state of a moving part using a low-cost scheme. This study focused on the vibration analysis and monitoring of a poly-crystalline silicon solar wafer carried by a pair of parallel moving strings, separated by a distance. Based on the sound data series picked up by a low-cost microphone and using a time-frequency analysis method, namely, the Hilbert-Huang transform (HHT) method, the low frequency features of the moving wafer could be determined quantitatively. The results showed that the motion of the moving wafer was sensitive to speed and string tension. By comparison, the average marginal spectrum should be treated as the basis for quantitative vibration monitoring, especially for a system with a strict requirement in terms of motion smoothness.

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“…A few researchs on transverse vibrations and Stability of axially moving viscoelastic plates have also been done. Zhou and Wang [5][6] studied transverse vibration characteristics of axially moving viscoelastic rectangular plates and parabolically varying thickness plate.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characteristics and Stability of Axially Moving Viscoelastic Plate with Piezoelectric Layer

Wang

Cao

Tao

et al. 2014

Journal of Low Frequency Noise, Vibration and Active Control

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The dynamic stability of the moving viscoelastic plate with the piezoelectric layer is studied. On the basis of the thin plate theory and the two-dimensional viscoelastic differential constitutive relation, the differential equation of the axially moving viscoelastic rectangular plate with piezoelectric layer in the Laplace domain is formulated, the equation is suitable for various viscoelastic differential models. Then, the differential equation of motion of the viscoelastic plate with elastic dilatation and Kelvin-Voigt distortion in time domain is derived, with the piezoelectric effect. The complex eigenvalue equations of axially moving viscoelastic plate are established by the differential quadrature method. The generalized eigenvalue equations are solved, and the force excited by the piezoelectric layer due to external voltage is modeled as the follower tensile force; this force is used to improve the stability of the axially moving viscoelastic plate. Via numerical calculation, the results for the instability type and the corresponding critical moving speed of viscoelastic plate are presented to show the variations in these factors with respect to the dimensionless moving speed, the dimensionless delay time and the applied voltages. The dynamic stability of the axially moving viscoelastic plates can be effectively improved by the determination of the optimal location for the piezoelectric layers and the most favorable voltage assignment.

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Transverse vibration characteristics of axially moving viscoelastic plate

Cited by 35 publications

References 11 publications

Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches

Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches

Vibration Analysis of an Axially Moving Plate Based on Sound Time-Frequency Analysis

Dynamic Characteristics and Stability of Axially Moving Viscoelastic Plate with Piezoelectric Layer

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