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Nonlinear vibration and instability of a randomly distributed CNT-reinforced composite plate subjected to localized in-plane parametric excitation

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dc.contributor.author Patel, S. N.
dc.contributor.author Kumar, Rajesh
dc.date.accessioned 2022-12-17T13:48:36Z
dc.date.available 2022-12-17T13:48:36Z
dc.date.issued 2022-01
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S0307904X21003930
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/7899
dc.description.abstract This study presents a semi-analytical formulation for the nonlinear vibration and dynamic instability of a randomly distributed carbon nanotube-reinforced composite (RD-CNTRC) plate. Three cases of localized in-plane periodic loadings are studied. The analytical stress fields within the RD-CNTRC plate for all the in-plane stress components (σij, (i, j = x, y)) are developed by solving the in-plane elastic problem using Airy's stress approach. The effective mechanical properties of the RD-CNTRC plate are evaluated by the Eshelby-Mori-Tanaka technique. The plate is modeled based on higher-order shear deformation theory (HSDT) in conjunction with the von-Kármán nonlinearity. Using Hamilton's principle, the governing partial differential equations (PDEs) are derived, whose approximate solution is sought, referring to the Galerkin method. The resulting nonlinear ODEs are solved using the Incremental Harmonic Balance (IHB) Method to compute the nonlinear vibration response of the RD-CNTRC plate. Further dropping the nonlinear terms, these ODEs are solved by Bolotin's method to trace the instability region. The proposed semi-analytical method is an effective strategy for studying the influence of different parameters such as agglomeration models, CNT mass fraction, pre-loading, and boundary conditions on the nonlinear vibration and dynamic instability characteristics of the RD-CNTRC plates. The reduced computational effort allows the design phase to be supported in selecting parameters when designing RD-CNTRC plates with stability and vibration requirements. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Civil Engineering en_US
dc.subject RD-CNTRC plate en_US
dc.subject Localized in-plane loading en_US
dc.subject Eshelby-Mori-Tanaka technique en_US
dc.subject Dynamic instability en_US
dc.subject Nonlinear vibration en_US
dc.title Nonlinear vibration and instability of a randomly distributed CNT-reinforced composite plate subjected to localized in-plane parametric excitation en_US
dc.type Article en_US


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