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Optimum design of pipe bending based on high-frequency induction heating using dynamic reverse moment

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Abstract

Pipe bending by high-frequency local induction heating is an advanced technique used to bend pipes having a small bending radius and a large diameter. Although pipe bending is a widely used engineering process, the optimum process parameters are decided on the basis of a trial and error method by highly experienced field engineers. Hence, it is necessary to develop an integrated methodology for the optimum design of the pipe bending process. During hot-pipe bending using induction heating, the thickness of the outer wall of the pipe decreases because of tensile stress, but the thickness is not allowed to decrease by more than 12.5%. The use of the DOE method and a dynamic reverse moment is proposed for maintaining the thickness reduction ratio to within 12.5%, when D/t is high. The results of the proposed approach are found to be in good agreement with those of FEA.

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Abbreviations

D :

outer diameter of pipe (mm)

M b :

bending moment (kN · m)

M c :

reverse moment (kN · m)

R :

bending radius (mm)

r :

pipe radius (mm)

r m :

average radius of pipe (mm)

t :

pipe thickness (mm)

t 0 :

initial thickness of pipe (mm)

β :

angle of neutral axis (°)

ΔR :

distance between neutral axis and x-axis

ρ :

radius of curvature

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Correspondence to Chul Kim.

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Lee, HW., Bae, JH., Kim, MS. et al. Optimum design of pipe bending based on high-frequency induction heating using dynamic reverse moment. Int. J. Precis. Eng. Manuf. 12, 1051–1058 (2011). https://doi.org/10.1007/s12541-011-0140-6

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  • DOI: https://doi.org/10.1007/s12541-011-0140-6

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