FREE VIBRATIONS OF CIRCULAR CYLINDRICAL SHELLS WITH AN INTERIOR PLATE USING THE RECEPTANCE METHOD

This paper describes the method to analyze the free vibrations of simply supported cylindrical shells with an interior rectangular plate by using the receptance method. This method is based on the ratio of a deflection (or slope) response to a harmonic force (or moment) at the joint. After finding the free vibrational characteristics of the simply supported plate and shell before combination, the frequency equation of the combined system is obtained by considering the continuity conditions at the joint between the plate and the shell. When the line load and moment applied along the joint are assumed as the Dirac delta and sinusoidal function, the continuity conditions at the joint are proven to be satisfied. The numerical results are compared with published works and experimental results in order to show the validity of the formulation, and that the analytical results agree with those from other methods.