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Journal Title: Вестник московского государственного областного университета. Серия: Физика-математика

ISSN: 2072-8387 (Print); 2310-7251 (Online)

Publisher: Moscow Region State University Editorial Office

Society/Institution: Moscow Region State University

LCC Subject Category: Science: Mathematics

Country of publisher: Russian Federation

Language of fulltext: Russian

Full-text formats available: PDF

 

AUTHORS


Гладков Сергей Октябринович

Богданова Софья Борисовна

EDITORIAL INFORMATION

Peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 13 weeks

 

Abstract | Full Text

Due to the construction of the Lagrange function L and calculated dissipative function a general system of dynamic equations describing the motion a cylindrical body completely immersed in the fluid is obtained. Its fixation is expected to be hinged at one end, where the origin is selected. The free end can perform virtually any movement and is resiliently held at an arbitrary point by a spring. The problem is solved in a spherical coordinate system r, θ, ϕ, in which differential equations of motion are derived by using two independent angular variables θ and ϕ taking into account the viscosity of the continuum η.