Development of analytical and FEM solutions for static and dynamic analysis of smart piezoelectric laminated composite plates on elastic foundation

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dc.contributor.author Chanda, Aniket Gopa
dc.contributor.author Kontoni, Denise-Penelope N.
dc.contributor.author Sahoo, Rosalin
dc.date.accessioned 2024-02-27T10:46:47Z
dc.date.available 2024-02-27T10:46:47Z
dc.date.issued 2023-01-31
dc.identifier.issn 00220833
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/2974
dc.description This paper published with affiliation IIT (BHU), Varanasi in open access mode. en_US
dc.description.abstract This paper proposes new analytical and finite element solutions for studying the effects of elastic foundations on the uncontrolled and controlled static and vibration responses of smart multi-layered laminated composite plates with integrated piezoelectric layers, acting as actuators and sensors. A non-polynomial higher-order plate theory with zigzag kinematics involving a trigonometric function and a local segmented zigzag function is adopted for the first time for modeling the deformation of a smart piezoelectric laminated composite plate supported on an elastic foundation. This model has only five independent primary variables like that of the first-order shear deformation theory, yet it considers the realistic parabolic behavior of the transverse shear stresses across the thickness of the laminated composites plates, and also maintains the continuity conditions of transverse shear stresses at the interfaces of the laminated plates. A two-parameter foundation model, namely Pasternak’s foundation, is used to model the deformation and shear interactions of the elastic foundation. The governing set of equations is derived by implementing Hamilton’s principle and variational calculus. Two different solution methods, namely, a generalized closed-form analytical solution of Navier-type, and a C0 isoparametric finite element (FE) formulation, are developed for solving the governing set of equations. The solutions in the time domain are obtained with Newmark’s average acceleration method. Comprehensive parametric studies are presented to investigate the influence of elastic foundation parameters, piezoelectric layers, loading, and boundary conditions on the static and dynamic responses of the smart composite plates with piezoelectric layers. The effects of the elastic foundations on the vibration control of the smart composite plates are also presented by coupling the piezoelectric actuator and sensor with a feedback controller. Several benchmark results are presented to show the influence of the various material and geometrical parameters on the controlled and uncontrolled responses of the smart plates, and also the significant effect of the elastic foundations on the static and dynamic responses of the smart structures. The results obtained are in very good agreement with the available literature, and it can be concluded that the proposed analytical solution and FE formulation can be efficiently used to model the static and dynamic electro-elastic behavior of smart laminated plates supported on elastic foundations. en_US
dc.description.sponsorship Open access funding provided by HEAL-Link Greece. No funding was received for conducting this study. en_US
dc.language.iso en en_US
dc.publisher Springer Science and Business Media B.V. en_US
dc.relation.ispartofseries Journal of Engineering Mathematics;138
dc.subject Analytical solution en_US
dc.subject Elastic foundation en_US
dc.subject Finite element method (FEM) en_US
dc.subject Laminated plates en_US
dc.subject Navier’s method en_US
dc.subject Newmark’s time integration en_US
dc.subject Pasternak’s foundation model en_US
dc.subject Smart composites en_US
dc.subject Vibration control; Zigzag theory en_US
dc.title Development of analytical and FEM solutions for static and dynamic analysis of smart piezoelectric laminated composite plates on elastic foundation en_US
dc.type Article en_US


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