Geodesic
Numerical methods for solving «rigid systems» applied for the problem of the dynamics of heavy-loaded bearings
Journal of computational and engineering mathematics, Tome 2 (2015) no. 1, pp. 11-20

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The problem of the dynamics of fluid friction bearings was formulated in the article. For «rigid system» the classical methods of integration of the system of differential equation of movement proved to be unsuitable because of the need to reduce the next step of integration in some parts of the journal center trajectory to very small values. We have described the main approaches that used for solving the problem. We also presented the main methods that have proven themselves in the solution of problems of the dynamics of rapidly rotating rotors and autonomous bearings of heat engines. Numerical methods for «rigid system» and algorithms for solving the problems of the dynamics were given. With the help of numerical experiments coefficients of the equations was performed. The step for calculating adjusted to the minimum value of the discrepancy.
Keywords: heavy-loaded bearings, correction, the problem of dynamics, «rigid system», methods of prediction, order of convergence. 
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     title = {Numerical methods for solving {\guillemotleft}rigid systems{\guillemotright} applied for the problem of the dynamics of heavy-loaded bearings},
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Yu. V. Rozhdestvensky; E. A. Zadorozhnaya; R. O. Chuchelov; D. I. Raskatov. Numerical methods for solving «rigid systems» applied for the problem of the dynamics of heavy-loaded bearings. Journal of computational and engineering mathematics, Tome 2 (2015) no. 1, pp. 11-20. http://geodesic.mathdoc.fr/item/JCEM_2015_2_1_a1/