FREE VIBRATION OF LAMINATED SPHERICAL PANELS WITH RANDOM MATERIAL PROPERTIES

Randomness in the material properties is inherent in all engineering materials. Composites exhibit a greater scatter compared to conventional materials because of the larger number of parameters associated with its fabrication and manufacturing. For accurate prediction of its behavior, the composite material properties have been modelled as random variables in the present study. Higher order shear deformation theory including rotatory inertia effects has been employed in developing the system equations and first order perturbation technique has been adopted for the solution. An approach has been presented for obtaining the analytical solution for generalized eigenvalue problem associated with free vibrations. Mean and variance of the natural frequency have been obtained for cross-ply spherical laminates projected in rectangular plan form with different boundary conditions.