The paper presents the results of investigation of transverse vibrations of single bellows expansion joint restrained against rotation on either end. A theoretical model is developed based on the Bernoulli-Euler beam theory and includes added mass of the fluid flowing inside the pipe-bellow-pipe assembly. Neglecting effects of shear and rotary inertia an exact frequency equation is derived for the transverse vibrations of single bellows expansion joint including the effects of end elastic restraints against rotation. Numerical results are presented for an example bellow showing the effects of variation of elastic restraints and internal pressure on the first four modes of vibration.

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