Solving Problem of Curved Surface Approximation by Layers with Constant and Variable Sections During Forming by Additive Methods

  • A. N. GrechukhinEmail author
  • V. V. Kuts
  • M. S. Razumov
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The paper considers the accuracy of the formation of engineering products’ surface layers using additive methods. It was determined that in case of additive forming, the accuracy characteristics of the surface layer differ significantly from the accuracy characteristics of the surface layers obtained using traditional methods. This is due to the high values of the error of forming (approximation) in additive methods. To improve the accuracy characteristics of products’ complex surfaces obtained using additive methods, it was proposed to ensure the dynamic spatial orientation of the final element of the additive equipment forming system. To control the spatial orientation of the forming system final element, it was proposed to use mechatronic 5 and 6 coordinate devices. The related area for solving the issues of improving the accuracy of additive forming methods was indicated. This area includes parallel control of the spatial orientation and section dimensions of a single layer, which, at certain values, will form the required value of approximation error at the specified performance. In this regard, the solutions of the problem of the parts’ curved surface approximation by layers with constant and variable sections were proposed. The results of geometric and computer simulation are given. A comparative assessment of the results of solving the above problems is provided. The proposed method will allow reducing the error in forming the products obtained with the help of additive methods.


Additive technologies Layer-by-layer synthesis Forming Error 



The study was supported by the grant of the President of the Russian Federation for young scientists MK-6406.2018.8


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • A. N. Grechukhin
    • 1
    Email author
  • V. V. Kuts
    • 1
  • M. S. Razumov
    • 1
  1. 1.Southwest State UniversityKurskRussia

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