Analysis of parametrically excited laminated shells (Q1206033)

The dynamic stability of a shear-deformable circular cylindrical shell subjected to a periodic axial loading \(P(t)=P_ s+P_ d \cos\omega t\) is investigated. The simply-supported laminated shell of finite length is analyzed within Love's first-approximation theory, with the addition of transverse shear deformation and rotary inertia. Using the method of multiple scales, analytical expressions for the instability regions are obtained at \(\omega=\Omega_ j\pm\Omega_ i\), where \(\Omega_ i\) are the natural frequencies of the shell.