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Large amplitude free vibration analysis of laminated composite spherical shells embedded with piezoelectric layers
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  • Journal title : Smart Structures and Systems
  • Volume 16, Issue 5,  2015, pp.853-872
  • Publisher : Techno-Press
  • DOI : 10.12989/sss.2015.16.5.853
 Title & Authors
Large amplitude free vibration analysis of laminated composite spherical shells embedded with piezoelectric layers
Singh, Vijay K.; Panda, Subrata K.;
 Abstract
Numerical analysis of large amplitude free vibration behaviour of laminated composite spherical shell panel embedded with the piezoelectric layer is presented in this article. For the investigation purpose, a general nonlinear mathematical model has been developed using higher order shear deformation mid-plane kinematics and Green-Lagrange nonlinearity. In addition, all the nonlinear higher order terms are included in the present mathematical model to achieve any general case. The nonlinear governing equation of freely vibrated shell panel is obtained using Hamilton`s principle and discretised using isoparametric finite element steps. The desired nonlinear solutions are computed numerically through a direct iterative method. The validity of present nonlinear model has been checked by comparing the responses to those available published literature. In order to examine the efficacy and applicability of the present developed model, few numerical examples are solved for different geometrical parameters (fibre orientation, thickness ratio, aspect ratio, curvature ratio, support conditions and amplitude ratio) with and/or without piezo embedded layers and discussed in details.
 Keywords
nonlinear vibration;laminated composites;Green-Lagrange nonlinearity;PZT;HSDT;nonlinear finite element method;spherical shell panel;
 Language
English
 Cited by
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Nonlinear vibration analysis of piezoelectric plates reinforced with carbon nanotubes using DQM, Smart Structures and Systems, 2016, 18, 4, 787  crossref(new windwow)
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Free vibration analysis of a hard-coating cantilever cylindrical shell with elastic constraints, Aerospace Science and Technology, 2017, 63, 232  crossref(new windwow)
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Geometrical nonlinear free vibration responses of FG-CNT reinforced composite annular sector plates integrated with piezoelectric layers, Composite Structures, 2017, 171, 100  crossref(new windwow)
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