On Axial Constant Acceleration Movement and Small Transverse Vibrations of Membrane Panel

Autor:	Nikolay Banichuk, V. S. Afanas’ev, S. Yu. Ivanova
Rok vydání:	2019
Předmět:	Acceleration Transverse plane Inertial frame of reference Differential equation Tension (physics) General Mathematics Mechanics Hypergeometric function Axial symmetry Constant (mathematics) Mathematics
Zdroj:	Lobachevskii Journal of Mathematics. 40:274-277
ISSN:	1818-9962 1995-0802
DOI:	10.1134/s1995080219030053
Popis:	An axially movement of the elastic web with small transverse vibrations is considered. It is supposed that the web movement described by the model of continuous elastic membrane panel is with a constant acceleration and is under action of centripetal, Coriolis, transverse inertial and in-plane tension forces. There are presented the transformations reduced the considered defining differential equation to Gauss hypergeometric equation. The total solution of this equation is presented by the help of hypergeometric series, the analysis of panel movement with a constant acceleration and arising vibrations is performed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ff22f86d33a484241128f5573e49eaff https://doi.org/10.1134/s1995080219030053 Zobrazit plný text záznamu Full text from SpringerLink