On torsional stiffness and natural frequency of bellows

Abstract

Simplified formulae for torsional natural frequencies of bellows are developed using an equivalent thin-walled pipe model. To do this the torsional stiffness of bellows needs to be worked out. The torsional stiffness of bellows is determined using Chien's integration method. Accordingly, the Expansion Joint Manufactures Association (EJMA) formula for torsional stiffness calculation is modified using two different equivalent radii. The torsional natural frequencies of bellows are calculated using the simplified formulae based on the equivalent thin-walled pipe model and the modified formulae for torsional stiffness of bellows. The results from the simplified formuale are verified by those from a finite element (FE) model and good agreement is shown between the simplified formulae and the FE model.