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Buckling phenomenon for imperfect pipe under pure bending

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Abstract

The buckling phenomenon for imperfect pipe under bending has been investigated by nonlinear FEA, considering the effect of a cross sectional oval deformation by changing the variables of pipes, that is, L/D varying from 2.5 to 20, D/t varying from 50 to 200, and imperfection (δ o/t) varying from 0.05 to 0.5. As well as the elastic buckling, the elasto-plastic buckling was investigated. From the calculation results, the followings were found. The reduction of buckling moment due to imperfection is larger in short pipe than in long pipe. The effect of imperfection for pipes with large values of D/t is larger than those with small values of D/t if L/D of both pipes is same. The effects of imperfection for elastic analysis are larger than elasto-plastic analysis. The buckling moment reduces more by the imperfection of buckling mode than by that of oval mode.

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Abbreviations

D :

Diameter of cylinder

E :

Young’s modulus

L :

Length of pipe

M :

Applied moment

M b :

Buckling moment obtained by nonlinear calculation in elastic analysis

M cr :

Critical bending moment

M cr1 :

Critical bending moment, when the critical buckling stress of a cylinder under bending is same as the buckling stress of a cylinder under axial compression

M cr2 :

Critical bending moment by Timoshenko

M o :

Maximum buckling moment in elastic analysis without imperfection

M u :

Ultimate moment in elasto-plastic analysis

M Y :

Initial yield moment

β :

Parameter β = (D/t)(σ Y/E)

δ :

Amplitude of oval deformation

δ o :

Maximum amplitude of imperfection

ν :

Poisson’s ratio

σ cr :

Critical buckling stress under axial compression

σ Y :

Yield stress

M b/M cr1 :

Non-dimensional buckling moment in elastic analysis

M u/M Y :

Non-dimensional buckling moment in elasto-plastic analysis

References

  1. Timoshenko S, Gere J (1961) Theory of elastic stability, 2nd edn. McGraw-Hill International Book Company

  2. Yudo H, Yoshikawa T (2012) Mechanical behaviour of pipe under pure bending load. In: Proceedings of the 26th Asian technical exchange and advisory meeting on marine structures, pp 359–364

  3. Seide P, Weingarten VI (1961) On The buckling of circular cylindrical shells under pure bending. Trans ASME J Appl Mech 28:112–116

    Article  MathSciNet  Google Scholar 

  4. Odland J (1978) Buckling resistance of unstiffened and stiffened circular cylindrical shell structures. Nor Marit Res 6(3):2–21

    Google Scholar 

  5. Ju GT, Kyriakides S (1992) Bifurcation and localization instabilities in cylindrical shells under bending: part II predictions. Int J Solids Struct 29:1143–1171

    Article  Google Scholar 

  6. Yudo H, Yoshikawa T (2014) Buckling phenomenon for straight and curved pipe under pure bending. J Mar Sci Technol 20(1):94–103

    Article  Google Scholar 

  7. SUPERB (1996) Buckling and collapse limit state, December 1996

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Author information

Authors and Affiliations

  1. Department of Maritime Engineering, Graduate School of Engineering, Kyushu University, Fukuoka, Japan

    Hartono Yudo

  2. Naval Architecture, Faculty of Engineering, Diponegoro University, Semarang, Indonesia

    Hartono Yudo

  3. Department of Marine System Engineering, Faculty of Engineering, Kyushu University, Fukuoka, Japan

    Takao Yoshikawa

Authors
  1. Hartono Yudo
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  2. Takao Yoshikawa
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Corresponding author

Correspondence to Hartono Yudo.

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Yudo, H., Yoshikawa, T. Buckling phenomenon for imperfect pipe under pure bending. J Mar Sci Technol 20, 703–710 (2015). https://doi.org/10.1007/s00773-015-0324-3

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  • DOI: https://doi.org/10.1007/s00773-015-0324-3

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