M. H. Toorani

TL;DR: In this article, a semi-analytical analysis of laminated multi-layered anisotropic, open and closed cylindrical shells has been developed by taking into account the shear deformation and rotary inertia effects.

TL;DR: In this paper, a semi-analytical approach to dynamic analysis of a fluid-filled horizontal cylindrical shell taking into account free surface motion; sloshing is presented.

TL;DR: In this paper, a semi-analytical investigation of a fluid-structure system is presented, where the hybrid finite element approach, shearable shell theory and velocity potential flow theory have been combined to establish the dynamic equations of the coupled system.

Abstract: A semi-analytical method is developed in conjunction with shearable shell theory and modal expansion approach to predict the influence of geometrical non-linearities on free vibrations of anisotropic laminated cylindrical shells. The shear deformation and rotary inertia effects are taken into account in the equations of motion. The hybrid method developed in this theory is a combination of classical finite element approach, shearable shell theory and modal coefficient procedure. The displacement functions are obtained by the exact solution of the equilibrium equations of anisotropic cylindrical shells and thereafter, the mass and linear stiffness matrices are derived by exact analytical integration. Green's exact strain-displacement relations are used to obtain the modal coefficients for these displacement functions. The second- and third-order non-linear stiffness matrices are then calculated by precise analytical integration and superimposed on the linear part of equations to establish the non-linear modal equations. The linear and non-linear natural frequency variations are determined as a function of shell parameters for different cases. The comparison shows that the numerical analysis is of good reliability on the prediction of the experimental results.

TL;DR: In this article, the axi-symmetric and lateral (beam-like, n=1) vibration modes of anisotropic cylindrical shells were derived from a refined shell theory by taking into account the shear deformation effects.