Problems of U-shaped bellows with nonlinear deformation of large axisymmetrical deflection (I)-counting nonlinear deformations of ring shells and compressed angle of bellows

This paper follows the work of [1,2]. There are some progress in dealing with moderately small rotations (the squares of rotation angles are the order of magnitude of strains) of middle surface normals of inside and outside ring shells and compressed angle of bellows. Calculation results agree with experiments well. To bellow design, the method given in this paper is of practical value and the discussion of the influence of compressed angle on characteristic relation is helpful.