An approach to the modal analysis of a spinning cylindrical shell with interior multipoint or circular-line supports is developed. Receptance theory is applied for joining the shell and supports. The frequency equation and mode shapes are then formulated. Conjugate pairing in cross receptances is found in the point support case, but not in the circular line support case. Numerical results for various numbers of point supports are illustrated, and physical interpretation of those results is given. Effects of rotational speed on frequency changes are also addressed.

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