On the parametric instability of multilayered conical shells using the FOSDT

John Lair, David Hui, Abdullah H. Sofiyev, Viktor Gribniak and Ferruh Turan

Abstract

This paper investigates the parametric instability (PI) of multilayered composite conical shells (MLCCSs) under axial load periodically varying the time, using the first order shear deformation theory (FOSDT). The basic equations for the MLCCSs are derived and then the Galerkin method is used to obtain the ordinary differential equation of the motion. The equation of motion converted to the Mathieu-Hill type differential equation, in which the DI is examined employing the Bolotin\'s method. The expressions for left and right limits of dimensionless parametric instability regions (PIRs) of MLCCSs based on the FOSDT are obtained. Finally, the influence of various parameters; lay-up, shear deformations (SDs), aspect ratio, as well as loading factors on the borders of the PIRs are examined.

Key Words

composite structures; dynamic analysis; instability; vibration; axial load

Address

(1) John Lair, David Hui: Department of Mechanical Engineering, University of New Orleans, New Orleans, Louisiana, USA; (2) Abdullah H. Sofiyev: Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, Isparta, Turkey; (3) Viktor Gribniak: Laboratory of Innovative Building Structures, Vilnius Gediminas Technical University, Vilnius, Lithuania; (4) Ferruh Turan: Department of Civil Engineering, Faculty of Engineering, Ondokuz Mayis University, Samsun, Turkey.

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