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Vibration and nonlinear dynamic analysis of sandwich FG-CNTRC plate with porous core layer

Ngo Dinh Dat, Nguyen Van Thanh, Vu MinhAnh, Nguyen Dình Duc

2020Mechanics of Advanced Materials and Structures91 citationsDOI

Abstract

This paper focuses on the influence of CNTs, porosity, mechanical and thermal loading on the vibration and dynamic response of the sandwich functionally graded carbon nanotube-reinforced composite (FG-CNTRC) composite plate. The plate is made by three layers in which the core layer is porous FGM materials, bottom and top surfaces are FG-CNTRC. The motion equations are given based on Hamilton’s principle, TSDT, Galerkin method and the fourth-order Runge–Kutta method. The numerical illustration is shown to examine the influence of various parameters such as porosity distribution, CNTs volume fraction, geometrical parameters, elastic foundations, temperature, mechanical loads on the dynamic behaviors of the plate.HighlightsThe FG-CNTRC plates with porous core layerThe vibration and nonlinear dynamic analysisElastic foundation and temperatureAnalytical solutions, Hamilton’s principle with the high-order shear deflection theory is usedGalerkin method and the fourth-order Runge–Kutta method are applied

Topics & Concepts

Galerkin methodVibrationMaterials sciencePorosityDeflection (physics)Volume fractionNonlinear systemMaterial propertiesComposite materialPlate theoryStructural engineeringComposite numberCore (optical fiber)Equations of motionCarbon nanotubeFinite element methodEngineeringClassical mechanicsPhysicsAcousticsQuantum mechanicsComposite Structure Analysis and OptimizationNonlocal and gradient elasticity in micro/nano structuresStructural Analysis and Optimization
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