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Journal of Marine Science and Technology

, Volume 20, Issue 4, pp 703–710 | Cite as

Buckling phenomenon for imperfect pipe under pure bending

  • Hartono YudoEmail author
  • Takao Yoshikawa
Original article

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.

Keywords

Imperfect pipe Buckling moment Oval deformation Elastic buckling Elasto-plastic buckling 

Abbreviations

D

Diameter of cylinder

E

Young’s modulus

L

Length of pipe

M

Applied moment

Mb

Buckling moment obtained by nonlinear calculation in elastic analysis

Mcr

Critical bending moment

Mcr1

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

Mcr2

Critical bending moment by Timoshenko

Mo

Maximum buckling moment in elastic analysis without imperfection

Mu

Ultimate moment in elasto-plastic analysis

MY

Initial yield moment

β

Parameter β = (D/t)(σ Y/E)

δ

Amplitude of oval deformation

δo

Maximum amplitude of imperfection

ν

Poisson’s ratio

σcr

Critical buckling stress under axial compression

σY

Yield stress

Mb/Mcr1

Non-dimensional buckling moment in elastic analysis

Mu/MY

Non-dimensional buckling moment in elasto-plastic analysis

References

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Copyright information

© JASNAOE 2015

Authors and Affiliations

  1. 1.Department of Maritime Engineering, Graduate School of EngineeringKyushu UniversityFukuokaJapan
  2. 2.Naval Architecture, Faculty of EngineeringDiponegoro UniversitySemarangIndonesia
  3. 3.Department of Marine System Engineering, Faculty of EngineeringKyushu UniversityFukuokaJapan

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