dc.contributor.author | Banichuk, Nikolay | |
dc.contributor.author | Jeronen, Juha | |
dc.contributor.author | Ivanova, Svetlana | |
dc.contributor.author | Tuovinen, Tero | |
dc.date.accessioned | 2016-01-04T10:04:29Z | |
dc.date.available | 2016-01-04T10:04:29Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Banichuk, N., Jeronen, J., Ivanova, S., & Tuovinen, T. (2015). Analytical approach for the problems of dynamics and stability of a moving web. <i>Rakenteiden mekaniikka</i>, <i>48</i>(3), 136-163. <a href="http://rmseura.tkk.fi/rmlehti/2015/nro3/RakMek_48_3_2015_1.pdf" target="_blank">http://rmseura.tkk.fi/rmlehti/2015/nro3/RakMek_48_3_2015_1.pdf</a> | |
dc.identifier.other | CONVID_25407515 | |
dc.identifier.other | TUTKAID_68405 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/48234 | |
dc.description.abstract | Problems of dynamics and stability of a moving web, modelled as an elastic rod or
string, and axially travelling between rollers (supports) at a constant velocity, are studied using
analytical approaches. Transverse, longitudinal and torsional vibrations of the moving web are
described by a hyperbolic second-order partial differential equation, corresponding to the string
and rod models. It is shown that in the framework of a quasi-static eigenvalue analysis, for these
models, the critical point cannot be unstable. The critical velocities of one-dimensional webs,
and the arising non-trivial solution of free vibrations, are studied analytically. The dynamical
analysis is then extended into the case with damping. The critical points of both static and
dynamic types are found analytically. It is shown in the paper that if external friction is present,
then for mode numbers sufficiently high, dynamic critical points may exist. Graphical examples
of eigenvalue spectra are given for both the undamped and damped systems. In the examples,
it is seen that external friction leads to stabilization, whereas internal friction in the travelling
material will destabilize the system in a dynamic mode at the static critical point. The theory
and results summarize and extend theoretical knowledge of the class of models studied, and can
be used in various applications of moving materials, such as paper making processes. | |
dc.language.iso | eng | |
dc.publisher | Rakenteiden Mekaniikan Seura ry | |
dc.relation.ispartofseries | Rakenteiden mekaniikka | |
dc.relation.uri | http://rmseura.tkk.fi/rmlehti/2015/nro3/RakMek_48_3_2015_1.pdf | |
dc.subject.other | dynamical analysis | |
dc.subject.other | damping | |
dc.subject.other | instability | |
dc.subject.other | moving web | |
dc.subject.other | analytical approach | |
dc.subject.other | critical velocity | |
dc.subject.other | stability analysis | |
dc.subject.other | elastic web | |
dc.subject.other | axially moving | |
dc.title | Analytical approach for the problems of dynamics and stability of a moving web | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201601041000 | |
dc.contributor.laitos | Tietotekniikan laitos | fi |
dc.contributor.laitos | Department of Mathematical Information Technology | en |
dc.contributor.oppiaine | Tietotekniikka | fi |
dc.contributor.oppiaine | Mathematical Information Technology | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2016-01-04T07:15:05Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 136-163 | |
dc.relation.issn | 0783-6104 | |
dc.relation.numberinseries | 3 | |
dc.relation.volume | 48 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © The Authors 2015. This is an open access article under CC BY-SA 4.0 license. | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | kitka | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p6241 | |
dc.rights.url | https://creativecommons.org/licenses/by-sa/4.0/ | |