Effects of the thickness on the stability of axially moving viscoelastic rectangular plates

Robinson, Mouafo Teifouet Armand; Adali, Sarp

doi:10.1016/j.apacoust.2018.05.005

Cited by 11 publications

(2 citation statements)

References 17 publications

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“…Armand Robinson et al [10] used differential quadrature method to solve the differential equations of concave and convex plane moving viscoelastic rectangular plate. Marynowski et al [11] solved the motion equation of axially moving plate by using the extended Galerkin method and analyzed axially moving aluminum plate under thermal load.…”

Section: Introductionmentioning

confidence: 99%

Modeling and dynamic analysis of axially moving variable fractional order viscoelastic plate

Hao,

Zhang,

Sun

et al. 2023

Math Methods in App Sciences

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By the constitutive model of variable fractional order, in the time domain, the partial differential equation of axially moving variable fractional order viscoelastic plate is established. From the known definition of the shifted Legendre polynomials, the partial differential equation is solved numerically directly in the time domain. Through error analysis and solution of dimensionless equation, the feasibility and accuracy of the shifted Legendre algorithm are proved. Then, the dynamic analyses of axially moving viscoelastic plate are carried out, and the displacement changes of moving plate at different speeds and different external excitations are analyzed.

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Section: Introductionmentioning

confidence: 99%

Modeling and dynamic analysis of axially moving variable fractional order viscoelastic plate

Hao,

Zhang,

Sun

et al. 2023

Math Methods in App Sciences

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“…Tang et al [6] examined the vibration and dynamic stability of axially viscoelastic plates with variable tension by using the method of multiple scales and the Routh-Hurwitz criterion. Robinson and Adali [7] investigated the influence of the thickness ratio and the cross-section on the vibration of in-plane moving viscoelastic plates. The effects of aspect ratio and viscosity of plates on the vibration frequencies are presented by applying the differential quadrature method in [8].…”

Section: Introductionmentioning

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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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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Primary parametric resonance, stability analysis and bifurcation characteristics of an axially moving ferromagnetic rectangular thin plate under the action of air-gap field*

Hu,

Tian

2024

Nonlinear Dyn

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Effects of the thickness on the stability of axially moving viscoelastic rectangular plates

Cited by 11 publications

References 17 publications

Modeling and dynamic analysis of axially moving variable fractional order viscoelastic plate

Modeling and dynamic analysis of axially moving variable fractional order viscoelastic plate

Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches

Primary parametric resonance, stability analysis and bifurcation characteristics of an axially moving ferromagnetic rectangular thin plate under the action of air-gap field*

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