Abstract
On the basis of paper [1], assuming the logarithm of thickness at arbitrary point on a U-shaped bellows meridian is linear with the logarithm of distance between that point and axis of symmetry, perturbation solutions of the corresponding problems of large axisymmetrical deflection are given. The effects of thickness distribution variation, which result from technology factors, on stiffness of bellows are discussed.
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Hu, L., On problems of U-shaped bellows with nonlinear deformation of large axisymmetric deflection (I)—Counting nonlinear deformations of ring shells and compressed angle of bellows,Appl. Math. and Mech. (English Ed.),14, 3 (1993), 253–267.
Axelrad, E. L., Periodic solution of axisymmetric problems in theory of shells,Inzh Zhur. Mekh Tverd, 2 (1966), 77–83 (in Russian)
Xu Z. Q., et al., Large deflection of a U-shaped bellows with varing thickness,J. of Qinghua University,25, 1 (1985), 39–51 (in Chinese)
Beijing Institute of Technology Publishing House (1988). (in Chinese)
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Communicated by Pan Li-zhou
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Liang, H. On problems of U-shaped bellows with nonlinear deformation of large axisymmetrical deflection (II) —Counting variation of thickness distribution. Appl Math Mech 14, 559–564 (1993). https://doi.org/10.1007/BF02451365
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DOI: https://doi.org/10.1007/BF02451365