Email this article Experience of using the variational principle of Hamilton-Ostrogradskiy to practical issues of compilation of differential equations of autonomous small oscillations
- Authors: Serov M.V.1, Averyanova G.M.1, Karnacheva E.V.1
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Affiliations:
- Moscow State University of Mechanical Engineering (MAMI)
- Issue: Vol 8, No 4-4 (2014)
- Pages: 84-89
- Section: Articles
- URL: https://journals.rcsi.science/2074-0530/article/view/67383
- DOI: https://doi.org/10.17816/2074-0530-67383
- ID: 67383
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Abstract
The article discusses the possibility of using integral variational principle of Hamilton-Ostrogradskiy to the practical issues of compilation of differential equations of autonomous small oscillations for a system with two degrees of freedom. System of differential equations of autonomous small oscillations and crystal pulling mechanism in the apparatus for growing silicon was obtained and solved, which allows to achieve elimination of resonance frequencies while designing an installation for silicon growing.
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##article.viewOnOriginalSite##About the authors
M. V. Serov
Moscow State University of Mechanical Engineering (MAMI)
Email: tm@mami.ru
Ph.D.; +7 495 223-05-23
G. M. Averyanova
Moscow State University of Mechanical Engineering (MAMI)
Email: tm@mami.ru
+7 495 223-05-23
E. V. Karnacheva
Moscow State University of Mechanical Engineering (MAMI)
Email: tm@mami.ru
+7 495 223-05-23
References
- Интернет-ресурс: http://www.bibliofond.ru/view.aspx?id=43201
- Щербаков А.В., Серов М.В. Сб. тр. МНК ММТТ-27, Т. 5. Тамбов: ТГТУ, 2014.
- Кильчевский Н.А. Курс теоретической механики: Учебное пособие. Т. 2. - М. Наука, 1977. - 544 с. ил.
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