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Vibration Response of Shear Deformable Gradient Plate with Geometric Imperfection

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Abstract

The vibration analysis of the geometrically imperfect functionally gradient (FGM) plate has been performed using hybrid higher order deformation theory. The present theory contains the nonlinear variation of thickness coordinate in in-plane and transverse displacement. The equation of motion for FGM plates are obtained through variational principle. The solution has been performed using a finite element method by employing C0 continuous isoparametric formulation with 72 DOF/element. The parametric study has been done to examine the influence of geometric configurations, volume fraction index and various modes of geometric imperfection on the vibration characteristics of the FGM plate.

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Correspondence to Ankit Gupta .

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Gupta, A., Talha, M. (2020). Vibration Response of Shear Deformable Gradient Plate with Geometric Imperfection. In: Singh, B., Roy, A., Maiti, D. (eds) Recent Advances in Theoretical, Applied, Computational and Experimental Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-1189-9_17

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  • DOI: https://doi.org/10.1007/978-981-15-1189-9_17

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-1188-2

  • Online ISBN: 978-981-15-1189-9

  • eBook Packages: EngineeringEngineering (R0)

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