Solution of the Lame Problem by the Complete Systems Method

Autor:	G. Urusova, E. Bespalova
Rok vydání:	2013
Předmět:	Computational Mathematics Parallelepiped Feature (computer vision) Mathematical analysis Computational Mechanics Structure (category theory) medicine Applied mathematics Stiffness medicine.symptom Mathematics
Zdroj:	International Journal for Computational Methods in Engineering Science and Mechanics. 14:159-167
ISSN:	1550-2295 1550-2287
DOI:	10.1080/15502287.2012.711421
Popis:	The paper presents a solution of the Lame problem on equilibrium of an elastic parallelepiped using the complete systems method. The feature of the method lies in the fact that it makes it possible to reduce the initial three-dimensional problem to a new structure, which is the system of three interconnected one-dimensional problems. The solutions obtained by the technique developed reveal high accuracy compared with solutions of the Lame problem by other methods. This fact supports the efficiency of the approach used. The algorithm developed is employed to evaluate approximate models of the elasticity theory using, as an example, determining stiffness of vibroinsulators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c9a912b83aca624882aae4ae7affaa7f https://doi.org/10.1080/15502287.2012.711421 Zobrazit plný text záznamu