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Dynamic stability of hybrid fiber/nanocomposite-reinforced toroidal shells subjected to the periodic axial and pressure loadings

Mohammad Amin Shahmohammadi, Sayed Mohamad Mirfatah, Hamzeh Salehipour, Fatemeh Azhari, Ömer Cívalek

2022Mechanics of Advanced Materials and Structures24 citationsDOI

Abstract

In this article, the dynamic instability of the hybrid fiber/nanocomposite-reinforced toroidal shells is investigated. By using the approximation of Fourier series and applying the Galerkin method, a semi-analytical solution is achieved. The proposed method provides an accurate assessment of the dynamic stability of the shell with no computational costs in comparison to the numerical methods. By comparing the obtained results for some examples with those available in the present literature, the accuracy of present formulation is approved. In order to evaluate the effects of geometrical and mechanical specifications on the dynamic instability of the proposed shells, a comprehensive parametric study is performed, as well.

Topics & Concepts

Galerkin methodMaterials scienceShell (structure)Parametric statisticsToroidNanocompositeInstabilityStability (learning theory)FiberFourier seriesComposite materialDynamic pressureStructural engineeringMechanicsFinite element methodComputer scienceMathematicsEngineeringMathematical analysisPhysicsPlasmaStatisticsQuantum mechanicsMachine learningComposite Structure Analysis and OptimizationStructural Analysis and OptimizationStructural Load-Bearing Analysis
Dynamic stability of hybrid fiber/nanocomposite-reinforced toroidal shells subjected to the periodic axial and pressure loadings | Litcius