VIBRATION ANALYSIS OF PRESTRESSED ROTATING THICK CIRCULAR CONICAL SHELL

Circular conical shells rotating about their axis of revolution are analyzed for the natural frequencies and the damping factor due to material damping by using moderately thick shell theory with shear deformation and rotatory inertia. Second order strains with the in-plane and transverse non-linear terms are used for the derivation of the geometric matrix. An isoparametric axisymmetric finite element with five degrees of freedom per node has been used for the solution. The complex form of the Fourier expansion is used in the circumferential direction to deal with the effects of material anisotropy, the Coriolis component and torque pre-stress. The effect of rotation on the frequencies of the shells is studied by incorporating the Coriolis acceleration, rotational energy, pre-stressing due to centrifugal force and torque and damping due to the material. (C) 1995 Academic Press Limited