Active Control of Nonlinear Transient Vibration of Laminated Composite Beams using Triangular SCLD Treatment and Fractional Order Derivative Viscoelstic Model

[+] Author and Article Information
Soumya Sahoo

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

M. C. Ray

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

1Corresponding author.

ASME doi:10.1115/1.4043928 History: Received September 02, 2018; Revised May 23, 2019


This paper is concerned with the analysis of the effectiveness of triangular shaped smart constrained layer damping (SCLD) treatment in attenuating geometrically nonlinear transient vibrations of laminated composite beams. The SCLD treatment is comprised of an advanced vertically reinforced 1-3 piezoelectric composite (PZC) as the constraining layer and an isotropic viscoelastic layer as the constrained layer which is modelled using a proposed two dimensional fractional order derivative (FOD) model with Grünwald definition of the fractional order derivatives. A nonlinear meshfree model of the smart composite beam is developed for analyzing its nonlinear transient response within the framework of a layerswise shear normal deformation theory considering von-Kármán type geometric nonlinearity. Cantilever type composite beams having different lamination sequences integrated with regular rectangular/triangular type of SCLD treatments are considered for the presenting the numerical results. For comparison purpose, a geometrical constraint has been imposed such that both the rectangular and triangular shaped SCLD treatments will cover the equal surface area over the beam. The numerical analyses demonstrate the effectiveness of the triangular shaped SCLD patches over the rectangular SCLD treatment in controlling the nonlinear vibration of laminated composite beams. The two-dimensional FOD model of the viscoelastic material has been efficiently implemented for the active damping analysis of smart composite beam.

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