Flexibility of axially symmetric bellows under axial loading

Abstract A simple energy method is used to find an expression for the flexibility of axially symmetric elastic bellows under axial loading. Results are expressed in terms of a single geometrical parameter, and are shown to be in good agreement with existing exact solutions for a range of values of the geometrical parameter from zero to a value large enough to include the most flexible designs. A simple analysis is also made of conditions under which the yield condition is reached. The results are useful for design purposes.