Open AccessExperience of using the variational principle of Hamilton-Ostrogradskiy to practical issues of compilation of differential equations of autonomous small oscillations
Author(s) -
М. В. Серов,
G. M Averyanova,
E. V. Karnacheva
Publication year - 2014
Publication title -
izvestiâ mgtu "mami"
Language(s) - English
Resource type - Journals
eISSN - 2949-1428
pISSN - 2074-0530
DOI - 10.17816/2074-0530-67383
Subject(s) - differential equation , differential (mechanical device) , mechanism (biology) , computer science , control theory (sociology) , mathematics , physics , mathematical analysis , control (management) , artificial intelligence , quantum mechanics , thermodynamics
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.