Numerical simulation of separation processes in mechanical working

Abstract

The paper deals with the methodological peculiarities of numerical simulation of separation processes in the context of the finite element method. It is shown that a poorly conditioned global stiffness matrix reflects the essence of the separation process. A method for monitoring the reliability and accuracy of the calculated data by means of the spectrum of a non-regularized global stiffness matrix is put forward. The possibility of assessing the spectrum of a global stiffness matrix through the sums of local matrices is shown.

About the authors

K. M. Ivanov

Baltic State Technical University «Voenmekh» named after D. F. Ustinov, Saint Petersburg

Author for correspondence.
Email: Rector@bstu.spb.su

Doctor of Engineering, Professor

Rector, Head of Department

Russian Federation

P. M. Vinnik

Baltic State Technical University «Voenmekh» named after D. F. Ustinov, Saint Petersburg

Email: vinnik.pm@gmail.com

Candidate of Physics and Mathematics

Associate Professor of the Department of Higher Mathematics

Russian Federation

V. N. Ivanov

Saint-Petersburg Institute of Machine Building

Email: v.n.ivanov098@gmail.com

Candidate of Engineering

Professor of the Department ”Machines and Technologies of Plastic Working of Metals”

Russian Federation

References

  1. Тихонов, А.Н. Методы решения некорректных задач [Текст] / А.Н. Тихонов, В.Я. Арсенин. ─ М.: Наука, 1986. ─ 288 с.
  2. Фаддеев, Д.К. Вычислительные методы линейной алгебры [Текст] / Д.К. Фаддеев, В.Н. Фаддеева. ─ СПб.: Лань. 2009. ─ 736 с.
  3. Chang, T. M., Swift H. W. Shearing of metal bars [Текст] / T. M. Chang, H. W. Swift // Journal of the Institute of Metals // vol. 78, 1950. - 119-146 p.

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