Open Access

ARTICLE

Fractional Order Derivative Model of Viscoelastic layer for Active Damping of Geometrically Nonlinear Vibrations of Smart Composite Plates

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1 Mechanical Engineering Department, Indian Institute of Technology, Kharagpur 721302, India

Computers, Materials & Continua 2015, 49-50(1), 47-80. https://doi.org/10.3970/cmc.2015.049.047

Abstract

This paper deals with the implementation of the one dimensional form of the fractional order derivative constitutive relation for three dimensional analysis of active constrained layer damping (ACLD) of geometrically nonlinear laminated composite plates. The constraining layer of the ACLD treatment is composed of the vertically/obliquely reinforced 1–3 piezoelectric composites (PZCs). The von Kármán type nonlinear strain displacement relations are used to account for the geometric nonlinearity of the plates. A nonlinear smart finite element model (FEM) has been developed. Thin laminated substrate composite plates with various boundary conditions and stacking sequences are analyzed to verify the effectiveness of the three-dimensional FDM for both the passive and active control authority of the ACLD patch located at the center of the laminates.

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