banner.jpg 137 Control of Geometrically Nonlinear Vibrations of Functionally Graded Multiferroic Composite Doubly Curved Shells S. C. Kattimani1 and M. C. Ray2 1Department of Mechanical Engineering, N. I.T. K-Surathkal, Karnataka, India. subhas_katti@yahoo.com 2Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, India. mcray@mech.iitkgp.ernet.in ABSTRACT

This article deals with the analysis of smart damping of geometrically nonlinear vibrations of functionally graded multiferroic or magneto-electro-elastic (FGMEE) doubly curved shells. The FGMEE doubly curved shells are integrated with the patches of the active constrained layer damping (ACLD) treatment. The constraining layer of the ACLD treatment is composed of the vertically/obliquely reinforced 1-3 piezoelectric composite (PZC). The Golla-Hughes-McTavish (GHM) method in time domain is employed for modeling the constrained viscoelastic layer of the ACLD treatment. Layer-wise shear deformation theory has been used for a three-dimensional finite element model of the overall FGMEE doubly curved shells. The geometric nonlinearity has been incorporated by considering the von Kármán type nonlinear strain displacement relations and the effects of electro-elastic and magneto-elastic couplings. Influence of the curvature ratio, the curvature aspect ratio, the thickness aspect ratio on the nonlinear frequency ratios of the FGMEE doubly curved shells has been investigated.

Keywords: Magneto-electro-elastic, Active Constrained Layer Damping (ACLD), Doubly curved shells, Geometrically nonlinear vibrations.

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