Numerical simulation of separation processes in mechanical working
- Authors: Ivanov K.M.1, Vinnik P.M.1, Ivanov V.N.2
-
Affiliations:
- Baltic State Technical University «Voenmekh» named after D. F. Ustinov, Saint Petersburg
- Saint-Petersburg Institute of Machine Building
- Issue: Vol 11, No 2 (2012)
- Pages: 192-199
- Section: MECHANICAL ENGINEERING AND POWER ENGINEERING
- URL: https://journals.ssau.ru/vestnik/article/view/1977
- DOI: https://doi.org/10.18287/2541-7533-2012-0-2(33)-192-199
- ID: 1977
Cite item
Full Text
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 FederationP. 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 FederationV. 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 FederationReferences
- Тихонов, А.Н. Методы решения некорректных задач [Текст] / А.Н. Тихонов, В.Я. Арсенин. ─ М.: Наука, 1986. ─ 288 с.
- Фаддеев, Д.К. Вычислительные методы линейной алгебры [Текст] / Д.К. Фаддеев, В.Н. Фаддеева. ─ СПб.: Лань. 2009. ─ 736 с.
- 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.