A study of the dynamic stability of anisotropic thin-walled beams

Autor:	F.H. Ling, Jun Li, Renjie Mao
Rok vydání:	1992
Předmět:	Mechanical Engineering Numerical analysis Geometry Building and Construction Mechanics Parameter space Dynamic load testing symbols.namesake Mathieu function Shear (geology) symbols Anisotropy Galerkin method Beam (structure) Civil and Structural Engineering Mathematics
Zdroj:	Thin-Walled Structures. 13:197-215
ISSN:	0263-8231
DOI:	10.1016/0263-8231(92)90041-t
Popis:	The dynamic stability of an anisotropic thin-walled beam subjected to harmonically varying axial compression is studied in this paper. The analysis is based on the assumption that the shape of the cross-section of the beam does not change during deformation. The shear of the middle surface of the beam is taken into account. The dynamic equations are reduced to a set of coupled Mathieu equations by using the Galerkin method. Then Hill's infinite-determinant method and a shooting-type numerical method are used to investigate the Mathieu equations to determine the stability regions of the beam in the parameter space. Two examples, one of which is a complete circular tube and the other is a circular tube with a longitudinal seam, are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::863d7d6c56edf563bbbb0003d8e5c6cc https://doi.org/10.1016/0263-8231(92)90041-t Zobrazit plný text záznamu