Mathematical Modeling

Dynamic Problem for the Spirally-Multilayered Non-Uniform Cylinder Taking into Account Forces of Viscous Resistance

V. V. Epishkin

Dept. of Resistance of Materials and Construction Mechanics, Samara State Academy of Architecture and Construction, Samara

Abstract: The structural algorithm of a method of final integral transformations constructs closed solution of the task on axes symmetrical oscillation of the spirally-multilayered non-uniform cylinder with the account of forces of viscous resistance. The cylinder is formed by winding of preliminary tense metal tape on elastic pliable tube. The spectrum of circular frequencies free axes symmetrical oscillations is analyzed.

Keywords: dynamic problem, loading, non-uniform, cylinder, spirally-multilayered, forces of viscous resistance, a method of final integrated transformations.

UDC: 539.219.3

MSC: 74D05, 74S20

Original article submitted 27/XII/2009
revision submitted – 29/III/2010

DOI: 10.14498/vsgtu749

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