The Effect of Viscosity of a Fluid on the Frequency Response of a Viscoelastic Plate Loaded by This Fluid
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DOI: 10.1007/s11029-018-9716-x
Abstract: A hydroviscoelastic system consisting of a viscoelastic plate and a half-plane filled with a viscous fluid is considered. The effect of viscosity of the fluid on the frequency response of the system and its dependence… read more here.
Keywords: fluid frequency; fluid; viscoelastic plate; viscosity fluid ... See more keywords
Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory
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DOI: 10.1007/s40065-020-00295-w
Abstract: In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some… read more here.
Keywords: dissipative viscoelastic; infinite memory; equation infinite; viscoelastic plate ... See more keywords
Decay of an Extensible Viscoelastic Plate Equation with a Nonlinear Time Delay
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DOI: 10.1007/s40840-018-0602-4
Abstract: An extensible viscoelastic plate equation with a nonlinear time-varying delay feedback and nonlinear source term is considered. Under suitable assumptions on relaxation function, nonlinear internal delay feedback, and source term, we establish a general decay… read more here.
Keywords: equation nonlinear; plate equation; viscoelastic plate; delay ... See more keywords
Chaotic vibrations of nonlinear viscoelastic plate with fractional derivative model and subjected to parametric and external excitations
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DOI: 10.1016/j.mechrescom.2019.04.001
Abstract: Abstract This paper deals with the analysis of chaotic vibrations of simply supported nonlinear viscoelastic plate with fractional derivative model and subjected to parametric and external excitations. The Galerkin decomposition is used to obtain the… read more here.
Keywords: viscoelastic plate; plate fractional; nonlinear viscoelastic; derivative model ... See more keywords
Analytical solution for a viscoelastic plate on a Pasternak foundation
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DOI: 10.1080/14680629.2018.1530693
Abstract: This work contributed an analytical quasistatic solution to the problem of an infinite viscoelastic plate supported on a Pasternak foundation and subjected to axisymmetric normal loading. The derivation was based on defining a set of… read more here.
Keywords: pasternak foundation; viscoelastic plate; plate; solution ... See more keywords
Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity
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DOI: 10.1186/s13661-020-01382-9
Abstract: In this paper, we are concerned with the decay rate of the solution of a viscoelastic plate equation with infinite memory and logarithmic nonlinearity. We establish an explicit and general decay rate results with imposing… read more here.
Keywords: logarithmic nonlinearity; viscoelastic plate; plate equation;
Viscoelastic plate equation with boundary feedback
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DOI: 10.3934/eect.2017014
Abstract: In this paper we consider a viscoelastic plate equation with a nonlinear weakly dissipative feedback localized on a part of the boundary. Without imposing restrictive assumptions on the boundary frictional damping, we establish an explicit… read more here.
Keywords: equation boundary; viscoelastic plate; feedback; plate equation ... See more keywords