Vibration analysis of functionally graded porous plates resting on Kerr elastic foundations
Authors: Long N.V, Tu T.M, Hai L.T, Thuc P.X
Conference on Advances in Civil Engineering (ICACE 2022) Vinh University, Vietnam
: Tập 1 : 150-158
Publishing year: 5/2022
This paper presents the free vibration analysis of functionally graded porous materials (FGPMs)
plates,intheframeworkofclassicalplatetheory(CPT).TheplateisrestedonKeer’selasticfoundationwiththe
three-parameter elastic model. Functional graded porous material, in particular, open-cell metal foam with
porositiesthatvarysmoothlyalongthicknessdirectionaccordingtothreeporositydistributionpatterns:uniform,
nonuniform symmetric and nonuniform asymmetric are considered. Based on Hamilton’s principle, the
equationsofmotionarederived.Thenumericalexamplesareperformedandcomparedwiththoseavailablein
theliteraturetoshowtheaccuracyofthepresentresults.Theeffectofporositycoefficient,porositydistribution
patterns,geometricalandKerrelasticfoundationparametersonnaturalfrequenciesareinvestigated.
Vibrationanalysis,functionallygradedporousplate,classicalplatetheory,Kerrelasticfoundations.