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      <abstractText>In this study, the numerical bifurcation analysis of a shimmying wheel is performed with a non-smooth, time-delayed model of the tyre-ground contact. This model is capable of reproducing the bistable behaviour often observed in experiments: a stable equilibrium and a stable periodic orbit coexisting for the same set of system parameters, that the simpler quasi-steady tyre models fail to capture. In the bistable parameter domain, there also exists an unstable periodic orbit within the separatrix between the domains of attractions of the two stable steady-state solutions. Although this solution never appears in a real-life system, one may still gain valuable information from tracing it as it gives an indication about the level of perturbation that would drive the system from one stable solution to the other. However, the complexity of the laws governing partial sticking and sliding in the tyre-ground contact makes the numerical bifurcation analysis with the traditional, collocation-based techniques infeasible. Instead, this study is based on numerical simulations and the technique of control-based continuation (CBC) to track the stable and unstable periodic solutions of the system allowing for the assessment of the accuracy of the non-smooth, delayed tyre model in replicating the dynamics observed in experiments. In the meantime, the physics-based model provides an insight into the relationship between the sticking and sliding regions appearing in the tyre-ground contact and the global dynamics of the system.</abstractText>
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      <label>Beregi Sandor. Nonlinear analysis of the delayed tyre model with control-based continuation. (2022) NONLINEAR DYNAMICS 0924-090X 1573-269X 110 3151-3165</label><template>&lt;div class=&quot;JournalArticle Publication short-list&quot;&gt; &lt;div class=&quot;authors&quot;&gt; &lt;span class=&quot;author-name&quot; mtid=&quot;10049622&quot;&gt; &lt;a href=&quot;/gui2/?type=authors&amp;mode=browse&amp;sel=10049622&quot; target=&quot;_blank&quot;&gt;Beregi, Sandor ✉&lt;/a&gt; &lt;/span&gt; &lt;span class=&quot;author-type&quot;&gt; &lt;/span&gt; &lt;/div &gt;&lt;div class=&quot;title&quot;&gt;&lt;a href=&quot;/gui2/?mode=browse&amp;params=publication;33169041&quot; mtid=&quot;33169041&quot; target=&quot;_blank&quot;&gt;Nonlinear analysis of the delayed tyre model with control-based continuation&lt;/a&gt;&lt;/div&gt; &lt;div class=&quot;pub-info&quot;&gt; &lt;span class=&quot;journal-title&quot;&gt;NONLINEAR DYNAMICS&lt;/span&gt; &lt;span class=&quot;journal-volume&quot;&gt;110&lt;/span&gt; &lt;span class=&quot;page&quot;&gt; pp. 3151-3165. , 15 p. &lt;/span&gt; &lt;span class=&quot;year&quot;&gt;(2022)&lt;/span&gt; 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&lt;/span&gt; &lt;/div&gt; &lt;div class=&quot;short-pub-prop-list&quot;&gt; &lt;span class=&quot;short-pub-mtid&quot;&gt; Közlemény:33169041 &lt;/span&gt; &lt;span class=&quot;status-holder&quot;&gt;&lt;span class=&quot;status-data status-VALIDATED&quot;&gt; Egyeztetett &lt;/span&gt;&lt;/span&gt; &lt;span class=&quot;pub-core&quot;&gt;Forrás Idéző &lt;/span&gt; &lt;span class=&quot;pub-type&quot;&gt;Folyóiratcikk (Szakcikk ) &lt;/span&gt; &lt;!-- &amp;&amp; !record.category.scientific --&gt; &lt;span class=&quot;pub-category&quot;&gt;Tudományos&lt;/span&gt; &lt;div class=&quot;publication-citation&quot; style=&quot;margin-left: 0.5cm;&quot;&gt; &lt;span title=&quot;Nyilvános idézőközlemények összesen, említések nélkül&quot; class=&quot;citingPub-count&quot;&gt;Nyilvános idéző összesen: 7&lt;/span&gt; | Független: 6 | Függő: 1 | Nem jelölt: 0 | WoS jelölt: 7 | Scopus jelölt:&amp;nbsp;3 | WoS/Scopus jelölt:&amp;nbsp;7 | DOI jelölt:&amp;nbsp;7 &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt;</template><template2>&lt;div class=&quot;JournalArticle Publication long-list&quot;&gt; &lt;div class=&quot;authors&quot;&gt; &lt;img title=&quot;Forrásközlemény&quot; style=&quot;float: left&quot; src=&quot;/frontend/resources/grid/publication-core-icon.png&quot;&gt; &lt;img title=&quot;Idézőközlemény&quot; style=&quot;float: left&quot; src=&quot;/frontend/resources/grid/publication-citation-icon.png&quot;&gt; &lt;div class=&quot;autype autype0&quot;&gt; &lt;span class=&quot;author-name&quot; mtid=&quot;10049622&quot;&gt;&lt;a href=&quot;/gui2/?type=authors&amp;mode=browse&amp;sel=10049622&quot; target=&quot;_blank&quot;&gt;Beregi Sandor ✉ (&lt;span class=&quot;authorship-author-name&quot;&gt;Beregi Sándor&lt;/span&gt; &lt;span class=&quot;authorAux-mtmt&quot;&gt; műszaki mechanika&lt;/span&gt;) &lt;/a&gt; &lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&quot;title&quot;&gt;&lt;a href=&quot;/gui2/?mode=browse&amp;params=publication;33169041&quot; target=&quot;_blank&quot;&gt;Nonlinear analysis of the delayed tyre model with control-based continuation&lt;/a&gt;&lt;/div&gt; &lt;div&gt; &lt;span class=&quot;journal-title&quot;&gt;NONLINEAR DYNAMICS&lt;/span&gt; &lt;span class=&quot;journal-issn&quot;&gt;(&lt;a target=&quot;_blank&quot; href=&quot;https://portal.issn.org/resource/ISSN/0924-090X&quot;&gt;0924-090X&lt;/a&gt; &lt;a target=&quot;_blank&quot; href=&quot;https://portal.issn.org/resource/ISSN/1573-269X&quot;&gt;1573-269X&lt;/a&gt;)&lt;/span&gt;: &lt;span class=&quot;journal-volume&quot;&gt;110&lt;/span&gt; &lt;span class=&quot;page&quot;&gt; pp 3151-3165 &lt;/span&gt; &lt;span class=&quot;year&quot;&gt;(2022)&lt;/span&gt; &lt;/div&gt; &lt;div class=&quot;pub-footer&quot;&gt;  &lt;span class=&quot;language&quot; xmlns=&quot;http://www.w3.org/1999/html&quot;&gt;Nyelv: Angol | &lt;/span&gt; &lt;span class=&quot;identifiers&quot;&gt; &lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt; &lt;a style=&quot;color:blue&quot; title=&quot;10.1007/s11071-022-07796-7&quot; target=&quot;_blank&quot; href=&quot;https://doi.org/10.1007/s11071-022-07796-7&quot;&gt; DOI &lt;/a&gt; &lt;/span&gt; &lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt; &lt;a style=&quot;color:blue&quot; title=&quot;000850387100004&quot; target=&quot;_blank&quot; href=&quot;https://www.webofscience.com/wos/woscc/full-record/000850387100004&quot;&gt; WoS &lt;/a&gt; &lt;/span&gt; &lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt; &lt;a style=&quot;color:blue&quot; title=&quot;85137506200&quot; target=&quot;_blank&quot; href=&quot;http://www.scopus.com/record/display.url?origin=inward&amp;eid=2-s2.0-85137506200&quot;&gt; Scopus &lt;/a&gt; &lt;/span&gt; &lt;/span&gt; &lt;OnlyViewableByAuthor&gt;&lt;div class=&quot;ratings&quot;&gt; &lt;div class=&quot;journal-subject&quot;&gt;Folyóirat szakterülete: Scopus - Aerospace Engineering&amp;nbsp;&amp;nbsp;&amp;nbsp;SJR indikátor:&amp;nbsp;D1&lt;/div&gt; &lt;div class=&quot;journal-subject&quot;&gt;Folyóirat szakterülete: Scopus - Mechanical Engineering&amp;nbsp;&amp;nbsp;&amp;nbsp;SJR indikátor:&amp;nbsp;D1&lt;/div&gt; 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  &lt;div class=&quot;publication-citation&quot;&gt; &lt;a target=&quot;_blank&quot; href=&quot;/api/publication?cond=citations.related;eq;33169041&amp;sort=publishedYear,desc&amp;sort=title&quot;&gt; Idézett közlemények száma: 10 &lt;/a&gt; &lt;/div&gt; &lt;div class=&quot;mtid&quot;&gt;&lt;span class=&quot;long-pub-mtid&quot;&gt;Közlemény: 33169041&lt;/span&gt; | &lt;span class=&quot;status-data status-VALIDATED&quot;&gt; Egyeztetett &lt;/span&gt; Forrás Idéző | &lt;span class=&quot;type-subtype&quot;&gt;Folyóiratcikk ( Szakcikk ) &lt;/span&gt; | &lt;span class=&quot;pub-category&quot;&gt;Tudományos&lt;/span&gt; | &lt;span class=&quot;publication-sourceOfData&quot;&gt;WoS-XML&lt;/span&gt; &lt;/div&gt; &lt;div class=&quot;lastModified&quot;&gt;Utolsó módosítás: 2022.12.13. 10:34 Fülöp Tamás (BME GPK admin5) &lt;/div&gt; &lt;/div&gt;&lt;/div&gt;</template2>
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