Nonlinear free vibration of multifunctional sandwich plates with auxetic core and magneto-electro-elastic facesheets of different micro-topological textures: FE approach

Abstract

This work aims to assess the nonlinear free vibration characteristics of multifunctional sandwich composite plates with auxetic core and magneto-electro-elastic (MEE) facesheets. The novelty of this work is that the combined effects of the electromagnetic (EM) circuits, micro-topological arrangements of MEE material on the coupled frequency response of multifunctional sandwich composite plates with auxetic cores has been investigated for the first time. To this end a higher order finite element (FE) formulation has been developed. The global equations of motion are arrived through Hamilton’s principle and Reddy’s higher order shear deformation theory (HSDT). The C1 continuity requirement of HSDT is fulfilled by considering second order derivative terms as higher order rotational degrees of freedom. Hence, the computational efficiency of this unique FE formulation is found to be better than the commercial numerical software in terms of computational time and costs. Also, the multi-physics field interactions are accurately established. In addition, emphasis has been placed on the geometrical skewness as well which is cumbersome to evaluate through the analytical modeling. Special attention is paid on assessing the influence of coupling fields and EM circuits associated with the auxetic inclination angle, skew angle, micro-topological arrangement of MEE facesheets, core-to-facesheet thickness ratio, length-to-thickness ratio and mechanical boundary conditions on the natural frequency of multifunctional sandwich composite plates, which is first of its kind.