Abstract
By reducing the boundary value problem in stress analysis of bellows into initial value problem, this paper presents a numerical solution of stress distribution in semi-circular arc type bellows based upon the toroidal shell equation of V. V. Novozelov[8]. Throughout the computation, S. Gill's method[10] of extrapolation is used. The stresses and deformations of bellows under axial load and internal pressure are calculated, the results of which agree completely with those derived from the general solution of Prof. Chien Wei-zang[1–4]. The extrapolation formula presented in this paper greatly promotes the accuracy of discrete calculation.
The computer program in BASIC language of Wang 2200 VS computer is included in the appendix.
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Communicated by Chien Wei-zang.
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Chien, H. Calculation of stresses and deformations of bellows by initial parameter method of numerical integration. Appl Math Mech 3, 99–112 (1982). https://doi.org/10.1007/BF01897390
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DOI: https://doi.org/10.1007/BF01897390