On the instability of an axially moving elastic plate
Banichuk, N., Jeronen, J., Neittaanmäki, P., & Tuovinen, T. (2010). On the instability of an axially moving elastic plate. International Journal of Solids and Structures, 47(1), 91-99. https://doi.org/10.1016/j.ijsolstr.2009.09.020
Published in
International Journal of Solids and StructuresDate
2010Copyright
© Elsevier. This is an author's final draft version of an article whose final and definitive version has been published by Elsevier.
Problems of stability of an axially moving elastic band travelling at constant velocity between two supports and experiencing small transverse vibrations are considered in a 2D formulation. The model of a thin elastic plate subjected to bending and tension is used to describe the bending moment and the distribution of membrane forces. The stability of the plate is investigated with the help of an analytical approach. In the frame of a general dynamic analysis, it is shown that the onset of instability takes place in the form of divergence (buckling). Then the static forms of instability are investigated, and critical regimes are studied as functions of geometric and mechanical problem parameters. It is shown that in the limit of a narrow strip, the 2D formulation reduces to the classical 1D model. In the limit of a wide band, there is a small but finite discrepancy between the results given by the 1D model and the full 2D formulation, where the discrepancy depends on the Poisson ratio of the material. Finally, the results are illustrated via numerical examples, and it is observed that the transverse displacement becomes localised in the vicinity of free boundaries.
...


Publisher
ElsevierISSN Search the Publication Forum
0020-7683Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/20067076
Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
Learning analytics with learning and analytics : advancing student agency analytics
Heilala, Ville (2022)Pedagogically meaningful, research-based, and ethical learning analytics could foster the values and learning aims we want to advance in our society and educational system. However, it is essential to combine knowledge of ... -
Student agency analytics : learning analytics as a tool for analysing student agency in higher education
Jääskelä, Päivikki; Heilala, Ville; Kärkkäinen, Tommi; Häkkinen, Päivi (Taylor & Francis, 2021)This paper presents a novel approach and a method of learning analytics to study student agency in higher education. Agency is a concept that holistically depicts important constituents of intentional, purposeful, and ... -
Exponential instability in the fractional Calderón problem
Rüland, Angkana; Salo, Mikko (Institute of Physics, 2018)In this paper we prove the exponential instability of the fractional Calderón problem and thus prove the optimality of the logarithmic stability estimate from Rüland and Salo (2017 arXiv:1708.06294). In order to infer this ... -
Theoretical study on travelling web dynamics and instability under non-homogeneous tension
Banichuk, Nikolay; Jeronen, Juha; Neittaanmäki, Pekka; Saksa, Tytti; Tuovinen, Tero (Elsevier, 2013)Problems of dynamics and stability of a moving web, travelling between two rollers at a constant velocity, are studied using analytical approaches. Transverse vibrations of the web are described by a partial differential ... -
Lead evaporation instabilities and failure mechanisms of the micro oven at the GTS-LHC ECR ion source at CERN
Kövener, T.; Küchler, D.; Toivanen, V. A. (American Institute of Physics, 2020)The GTS-LHC ECR ion source (named after the Grenoble Test Source and the Large Hadron Collider) at CERN provides heavy ion beams for the chain of accelerators from Linac3 up to the LHC for high energy collision experiments ...