Abstract: The free vibrations of thick circular cylindrical shells and rings are discussed in this paper. The well-known energy method, which is based on the three-dimensional theory of elasticity, is ...

Abstract: A comprehensive analytical procedure based on the superposition method is described for establishing the free vibration frequencies and mode shapes of thin plates resting on rigid point supports ...

Abstract: In this paper the in-plane free vibrations of both thick and thin circular annular discs are studied. The well-known energy method, which is based on the three-dimensional theory of elasticity, ...