Bifurcation method of stability analysis and some applications
Published inReports of the Department of Mathematical Information Technology / University of Jyväskylä. Series B, Scientific computing
In this paper a new approach to the analysis of implicitly given function- als is developed in the frame of elastic stability theory. The approach gives an effective procedure to analyse stability behaviour, and to determine the bifur- cation points. Examples of application of the proposed approach for analysis of stability are presented, more precisely we consider the stability problem of an axially moving elastic panel, with no external applied tension, performing transverse vibrations. The analysis is applicable for many practical cases, for example, paper making and band saw blades.
MetadataShow full item record
Showing items with similar title or keywords.
Banichuk, Nikolay; Barsuk, Alexander; Tuovinen, Tero; Jeronen, Juha (Jyväskylän yliopisto, 2014)In this paper, the stability of a simply supported axially moving elastic panel is considered. A complex variable technique and bifurcation theory are applied. As a result, variational equations and a variational principle ...
Saksa, Tytti (University of Jyväskylä, 2013)
Kurki, Matti (University of Jyväskylä, 2014)
Banichuk, Nikolay; Barsuk, Alexander; Neittaanmäki, Pekka; Jeronen, Juha; Tuovinen, Tero (Jyväskylän yliopisto, 2015)This paper is devoted to a dynamic stability analysis of an axially moving elastic web, modelled as a panel (a plate undergoing cylindrical deformation). The results are directly applicable also to the travelling beam. ...
Solovyeva, Elena (University of Jyväskylä, 2013)