Plastic collapse and bifurcation buckling analysis of bellows
- Lehigh Univ., Bethlehem, PA (United States)
This paper presents a theoretical analysis to both plastic collapse and in-plane squirm of bellows. The bellows is modeled as a closed-ended pressure vessel or shell, which is subjected to internal pressure loading and no axial extension. It is shown that in-plane squirm results from bifurcation buckling, when the bellows deforms from an axisymmetric state to one with additional non-axisymmetric deformation. The analysis shows that axisymmetric plastic collapse occurs when plastic hinges form at four locations within a convolute: at the root, crest, and both sidewalls. The analysis shows that the hoop stress varies significantly over a convolute from its average value, which is known as S{sub 2} in the EJMA Standards. The difference is more pronounced near the limit state than in the elastic state. The results of bifurcation analyses show that, for the geometries considered, bifurcation buckling occurs well into the plastic range, and that the pressure at bifurcation is slightly less than the plastic collapse pressure. The buckling mode calculated from the bifurcation analysis agrees with that observed in experiments reported in the literature.
- OSTI ID:
- 124714
- Report Number(s):
- CONF-950740--; ISBN 0-7918-1332-0
- Country of Publication:
- United States
- Language:
- English
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