Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Engineering & Technologies. 2016 9 (7)
- Authors
- Spirin, Evgeny A.; Golovin, Mikhail P.; Fediy, Konstantin S.
- Contact information
- Spirin, Evgeny A.: Siberian Federal University 79 Svobodny, Krasnoyarsk, 660041, Russia; Golovin, Mikhail P.: Siberian Federal University 79 Svobodny, Krasnoyarsk, 660041, Russia; Fediy, Konstantin S.: Siberian Federal University 79 Svobodny, Krasnoyarsk, 660041, Russia; E-mail:
- Keywords
- Lagrange function; dynamical systems; applied mathematics; calculus of variations; Hamilton’s principle
- Abstract
The article covers the basics of variational principles of mechanics applied to a material point is a brief historical background of variational methods mechanics, considered classical variational problem with fixed ends, shows the relationship of the law of conservation of energy to the principle of stationary action, as well as obtaining the characteristic function of a non-conservative system as an example of a mechanical system Linear friction. On the basis of Noether’s theorem, shows the relationship of the first integral of the mechanical system, with its characteristic function, and interpretation made the first integral non-conservative mechanical system with linear friction
- Pages
- 1068-1078
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/28086
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