Nonlinear finite element analysis of thermal post-buckling vibration of laminated composite shell panel embedded with SMA fibre
Authors: Subrata Kumar Panda, B.N. Singh
Abstract:
Numerical investigation of nonlinear free vibration of thermally post-buckled laminated composite spherical shell panel embedded with shape memory alloy (SMA) fibre is presented. The mathematical model is proposed for the first time by taking the geometric nonlinearity in Green–Lagrange sense and the panel kinematics based on higher order shear deformation theory. In addition to the above the material nonlinearity in SMA fibres due to the temperature field is also considered in the present analysis. The system governing differential equation of the shell panel is obtained using Hamilton’s principle. A direct iterative method in conjunction with nonlinear finite element is used to discretise and solve the system of equations. Effects of various parameters such as curvature ratios, thickness ratios, amplitude ratios, aspect ratios, support conditions, lamination schemes, SMA prestrains and SMA volume fractions on the nonlinear free vibration behaviour on post-buckled laminated panels are examined in detail and discussed. The results obtained are compared with those available in the literature.
Keywords:
Nonlinear vibration
Computational modelling
Nonlinear finite element analysis
Shell panel
Laminated composite
SMA
Published in: Aerospace Science and Technology (Volumes 29, issue 1, August 2013)
Publisher: Elsevier
ISSN Information: 1270-9638
Nonlinear finite element analysis of thermal post-buckling vibration of laminated composite shell panel embedded with SMA fibre
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