Title: Nonlinear vibration analysis of piezolaminated functionally graded cylindrical shell

Authors: C.K. Susheel; Rajeev Kumar; Vishal Singh Chauhan

Addresses: School of Engineering, Indian Institute of Technology Mandi, Mandi, 175001, Himachal Pradesh, India ' School of Engineering, Indian Institute of Technology Mandi, Mandi, 175001, Himachal Pradesh, India ' School of Engineering, Indian Institute of Technology Mandi, Mandi, 175001, Himachal Pradesh, India

Abstract: In the present work, study of geometric nonlinear vibration analysis of thin piezolaminated functionally graded cylindrical shell is presented. Material properties are graded in the thickness direction of the shell according to power law distribution in terms of volume fraction of the constituents. The shell is modelled using degenerated shell element to predict the deformation under electric voltage and thermal gradient across the thickness of the shell. Modelling is based on the first order shear deformation theory. Second-Piola stress and Green-Lagrange strain tensor are used to perform the large deformation analysis. The accuracy of the developed finite element modelling is validated by comparing numerical results with the published results in the literature. The influence of electric voltage, thermal gradient and gradient index on the vibrational behaviour of cylindrical shell is studied.

Keywords: functionally graded material; FGM; geometric nonlinear; smart structures; vibration control.

DOI: 10.1504/IJNDC.2017.083627

International Journal of Nonlinear Dynamics and Control, 2017 Vol.1 No.1, pp.27 - 50

Received: 14 Jan 2015
Accepted: 14 Jul 2015
Published online: 13 Apr 2017 *