Classical thin shell theories and modal superposition principle are used to investigate the dynamic response of isotropic circular cylindrical shells with both ends shear diaphragms supported. The contribution of non-radial vibration components and responses of sinusoidal and cosine modes are taken into account. The force, moment and coupling mobility functions of a circular cylindrical shell which simultaneously subjected to harmonic point force and moment excitations are derived. It is shown that non-radial vibration components have remarkable effects on the prediction accuracy for modes and mobility frequency spectrum, and the real parts of coupling mobility functions may be negative. It can provide a theoretical guidance for the vibration and noise reduction of cylindrical shell structures and for designing active and passive vibration isolation systems with circular cylindrical shell foundations.