Investigation on the influence of the equivalent bending stiffness of the thin-walled parts on the machining deformation

  • Bianhong Li
  • Hanjun Gao
  • Hongbin DengEmail author
  • Hai Pan
  • Baoguo Wang


A semi-analytical model considering the biaxial blank residual stress is proposed to predict the machining deformation of the thin-walled parts. Machining deformations of five thin-walled parts with different stiffening rib layouts are calculated using the proposed model, and the accuracy of the model is validated by FEM simulations and machining experiments. In comparison with the experimental results, the relative errors of the final vertex deformations calculated by the proposed model for specimens 1–5 are 3.08%, 5.66%, 9.15%, 3.60%, and 8.43%, respectively. Then, the influence of the equivalent bending stiffness on the machining deformation is investigated. Results show that, compared with specimen 1, the equivalent bending stiffness in the X direction of specimens 2–5 are increased by 35.48%, 94.02%, 96.29%, and 100.15%, respectively; meanwhile, the maximum deformations are decreased by 23.42%, 30.92%, 30.66%, and 17.72%, respectively. The machining deformation decreases with the increase of equivalent bending stiffness in the length direction, and the equivalent stiffness in the width direction has no significant influence on the overall machining deformation. Stiffening ribs can be added to increase the bending stiffness and decrease the deformation in machining process. The deformation can be further reduced when the stiffening ribs are placed closer to the maximum deformation point.

Graphical abstract


Machining deformation Equivalent bending stiffness Residual stress Semi-analytical prediction model FEM 


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This work is financially supported by the China National Natural Science Foundation (No. 5177041109).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • Bianhong Li
    • 1
    • 2
  • Hanjun Gao
    • 3
    • 2
  • Hongbin Deng
    • 1
    Email author
  • Hai Pan
    • 4
  • Baoguo Wang
    • 4
  1. 1.School of Mechatronical EngineeringBeijing Institute of TechnologyBeijingPeople’s Republic of China
  2. 2.Institute of Orthopaedics and Musculoskeletal Science, Division of Surgery and Interventional Science, The Royal National Orthopaedic HospitalUniversity College LondonLondonUK
  3. 3.State Key Laboratory of Virtual Reality Technology and Systems, School of Mechanical Engineering and AutomationBeihang UniversityBeijingPeople’s Republic of China
  4. 4.China Weaponry Huaihai Industrial GroupChangzhi CityPeople’s Republic of China

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