2022
DOI: 10.3390/sym14050852
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Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core

Abstract: The purpose of this paper is to study the axisymmetric vibrations of circular three-layered sandwich plates with a frequency-dependent fractional viscoelastic core and elastic face sheets. First, the equations of motion and related boundary conditions are derived using the Hamilton’s principle for the free vibrations. Then, the governing equations obtained for various boundary conditions are solved and parametric studies are carried out to examine the vibration behavior of circular sandwich plates with a visco… Show more

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Cited by 3 publications
(1 citation statement)
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“…To explore the adjustable system dynamics, a direct numerical solution to the parameter-varying equations with random excitation is unsuitable for stochastic response statistics under various spatial parameters. An analytical solution to the equations is an alternative [22][23][24][25][26][27]. Therefore, the analysis method and dynamics adjustability of the partial and ordinary differential coupling system for the visco-elastomer sandwich plate coupled with supported masses under random excitation through spatial periodicity strategy need to be studied further for dynamic optimization or vibration control.…”
Section: Introductionmentioning
confidence: 99%
“…To explore the adjustable system dynamics, a direct numerical solution to the parameter-varying equations with random excitation is unsuitable for stochastic response statistics under various spatial parameters. An analytical solution to the equations is an alternative [22][23][24][25][26][27]. Therefore, the analysis method and dynamics adjustability of the partial and ordinary differential coupling system for the visco-elastomer sandwich plate coupled with supported masses under random excitation through spatial periodicity strategy need to be studied further for dynamic optimization or vibration control.…”
Section: Introductionmentioning
confidence: 99%