On bifurcation analysis of implicitly given functionals in the theory of elastic stability

Banichuk Nikolay; Barsuk Alexander A.; Jeronen J.; Neittaanmaki Pekka; Tuovinen Tero

Articolul precedent

Articolul urmator

244

SM ISO690:2012

BANICHUK, Nikolay, BARSUK, Alexander A., JERONEN, J., NEITTAANMAKI, Pekka, TUOVINEN, Tero. On bifurcation analysis of implicitly given functionals in the theory of elastic stability. In: Computational Methods in Applied Sciences, 6-7 martie 2014, Jyvaskyla. Berlin, Germania: Springer Science and Business Media B.V., 2016, Volume 40, pp. 175-188. ISSN 18713033. DOI: https://doi.org/10.1007/978-3-319-23564-6_11

EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core

Computational Methods in Applied Sciences
Volume 40, 2016

Conferința "International Conference for Mathematical Modeling and Optimization in Mechanics"
Jyvaskyla, Finlanda, 6-7 martie 2014

On bifurcation analysis of implicitly given functionals in the theory of elastic stability

DOI:https://doi.org/10.1007/978-3-319-23564-6_11

Pag. 175-188

Banichuk Nikolay¹, Barsuk Alexander A.², Jeronen J.³, Neittaanmaki Pekka³, Tuovinen Tero³

¹ Institut pe Probleme Mecanice, Academia de Stiinte a Rusiei,
² Moldova State University,
³ Department of Mathematical Information Technology, University of Jyvaskyla

Disponibil în IBN: 7 iulie 2022

Vezi articolul

Rezumat

In this paper, we analyze the stability and bifurcation of elastic systems using a general scheme developed for problems with implicitly given functionals. An asymptotic property for the behaviour of the natural frequency curves in the small vicinity of each bifurcation point is obtained for the considered class of systems. Two examples are given. First is the stability analysis of an axially moving elastic panel, with no external applied tension, performing transverse vibrations. The second is the free vibration problem of a stationary compressed panel. The approach is applicable to a class of problems in mechanics, for example in elasticity, aeroelasticity and axially moving materials (such as paper making or band saw blades).

Cuvinte-cheie
Axially moving, bifurcation, Eigenvalue problem, Elastic beam, Elastic panel, stability

Cerif XML Export

<?xml version='1.0' encoding='utf-8'?>
<CERIF xmlns='urn:xmlns:org:eurocris:cerif-1.5-1' xsi:schemaLocation='urn:xmlns:org:eurocris:cerif-1.5-1 http://www.eurocris.org/Uploads/Web%20pages/CERIF-1.5/CERIF_1.5_1.xsd' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' release='1.5' date='2012-10-07' sourceDatabase='Output Profile'>
<cfResPubl>
<cfResPublId>ibn-ResPubl-160485</cfResPublId>
<cfResPublDate>2016</cfResPublDate>
<cfVol>Volume 40</cfVol>
<cfStartPage>175</cfStartPage>
<cfISBN></cfISBN>
<cfURI>https://ibn.idsi.md/ro/vizualizare_articol/160485</cfURI>
<cfTitle cfLangCode='EN' cfTrans='o'>On bifurcation analysis of implicitly given functionals in the theory of elastic stability</cfTitle>
<cfKeyw cfLangCode='EN' cfTrans='o'>Axially moving; bifurcation; Eigenvalue problem; Elastic beam; Elastic panel; stability</cfKeyw>
<cfAbstr cfLangCode='EN' cfTrans='o'><p>In this paper, we analyze the stability and bifurcation of elastic systems using a general scheme developed for problems with implicitly given functionals. An asymptotic property for the behaviour of the natural frequency curves in the small vicinity of each bifurcation point is obtained for the considered class of systems. Two examples are given. First is the stability analysis of an axially moving elastic panel, with no external applied tension, performing transverse vibrations. The second is the free vibration problem of a stationary compressed panel. The approach is applicable to a class of problems in mechanics, for example in elasticity, aeroelasticity and axially moving materials (such as paper making or band saw blades).&nbsp;</p></cfAbstr>
<cfResPubl_Class>
<cfClassId>eda2d9e9-34c5-11e1-b86c-0800200c9a66</cfClassId>
<cfClassSchemeId>759af938-34ae-11e1-b86c-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfResPubl_Class>
<cfClassId>e601872f-4b7e-4d88-929f-7df027b226c9</cfClassId>
<cfClassSchemeId>40e90e2f-446d-460a-98e5-5dce57550c48</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfPers_ResPubl>
<cfPersId>ibn-person-56530</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfPers_ResPubl>
<cfPersId>ibn-person-42872</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfPers_ResPubl>
<cfPersId>ibn-person-56533</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfPers_ResPubl>
<cfPersId>ibn-person-86987</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfPers_ResPubl>
<cfPersId>ibn-person-56534</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfPers_ResPubl>
</cfResPubl>
<cfPers>
<cfPersId>ibn-Pers-56530</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-56530-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
<cfFamilyNames>Banichuk</cfFamilyNames>
<cfFirstNames>Nikolay</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfPers>
<cfPersId>ibn-Pers-42872</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-42872-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
<cfFamilyNames>Barsuk</cfFamilyNames>
<cfFirstNames>Alexander A.</cfFirstNames>
<cfFamilyNames>Барсук</cfFamilyNames>
<cfFirstNames>Александр</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfPers>
<cfPersId>ibn-Pers-56533</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-56533-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
<cfFamilyNames>Jeronen</cfFamilyNames>
<cfFirstNames>J.</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfPers>
<cfPersId>ibn-Pers-86987</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-86987-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
<cfFamilyNames>Neittaanmaki</cfFamilyNames>
<cfFirstNames>Pekka</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfPers>
<cfPersId>ibn-Pers-56534</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-56534-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
<cfFamilyNames>Tuovinen</cfFamilyNames>
<cfFirstNames>Tero</cfFirstNames>
</cfPersName_Pers>
</cfPers>
</CERIF>