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The transient and steady-state response of an oscillator with hysteretic restoring force and sinusoidal excitation are investigated. Hysteresis is modeled by using the bilinear model of Caughey with a hybrid system formulation. A novel method for obtaining the exact transient and steady-state response of the system is discussed. Stability and bifurcations of periodic orbits are studied using Poincaré maps. Results are compared with asymptotic expansions obtained by Caughey. The bilinear hysteretic element is found to act like a ‘soft spring’. Several sub-harmonic resonances are found in the system, however, no chaotic behavior is observed. Away from the sub-harmonic resonance the asymptotic expansions and the exact steady-state response of the system are seen to match with good accuracy.
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" mtid="10048329"> <a href="/gui2/?type=authors&mode=browse&sel=10048329" target="_blank">Kalmár-Nagy, Tamás</a> </span> <span class="author-type"> </span> ; <span class="author-name" > Shekhawat, Ashivni </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;2826465" mtid="2826465" target="_blank">Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation</a></div> <div class="pub-info"> <span class="journal-title">PHYSICA D: NONLINEAR PHENOMENA</span> <span class="journal-volume">238</span> : <span class="journal-issue">17</span> <span class="page"> pp. 1768-1786. , 19 p. </span> <span class="year">(2009)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1016/j.physd.2009.06.016" target="_blank" href="https://doi.org/10.1016/j.physd.2009.06.016"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="S0167278909001699" target="_blank" href="http://www.sciencedirect.com/science/article/pii/S0167278909001699"> ScienceDirect </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000269296000004" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000269296000004"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="67651202324" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67651202324"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="http://www.sciencedirect.com/science/article/pii/S0167278909001699" target="_blank" href="http://www.sciencedirect.com/science/article/pii/S0167278909001699"> Teljes dokumentum </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="http://www.sciencedirect.com/science/article/pii/S0167278909001699?via=ihub" target="_blank" href="http://www.sciencedirect.com/science/article/pii/S0167278909001699?via=ihub"> Other URL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="8230836375646959054" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=8230836375646959054"> Google scholar </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="PObbenuzcxgJ" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=PObbenuzcxgJ"> Google scholar hash </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="zvXMJhPOOXIJ" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=zvXMJhPOOXIJ"> Google scholar hash </a> </span> </span> </div> <div class="short-pub-prop-list"> <span class="short-pub-mtid"> Publication:2826465 </span> <span class="status-holder"><span class="status-data status-ADMIN_APPROVED"> Admin approved </span></span> <span class="pub-core">Core Citing </span> <span class="pub-type">Journal Article (Article ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Scientific</span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="" class="citingPub-count">Citing papers: 31</span> | Independent citation: 30 | Self citation: 1 | Unknown citation: 0 | Number of citations in WoS: 25 | Number of citations in Scopus: 19 | WoS/Scopus assigned: 27 | Number of citations with DOI: 26 </div> </div> </div> </div><div class="JournalArticle Publication long-list">
<div class="authors">
<img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png">
<img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png">
<div class="autype autype0"> <span class="author-name" mtid="10048329"><a
href="/gui2/?type=authors&mode=browse&sel=10048329" target="_blank">Kalmár-Nagy Tamás
(<span class="authorship-author-name">Kalmár-Nagy Tamás</span>
<span class="authorAux-mtmt"> Áramlástan, Elméleti és alkalmazott mechanika</span>)
</a>
</span>
<span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Mechanical Engineering">FME</span>/Department of Fluid Mechanics</span>
;
<span class="author-name" >Shekhawat Ashivni
</span>
</div>
</div>
<div class="title"><a href="/gui2/?mode=browse¶ms=publication;2826465" target="_blank">Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation</a></div> <div> <span class="journal-title">PHYSICA D: NONLINEAR PHENOMENA</span>
<span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0167-2789">0167-2789</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1872-8022">1872-8022</a>)</span>:
<span class="journal-volume">238</span> <span class="journal-issue">17</span>
<span class="page">
pp 1768-1786
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Teljes dokumentum
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<span class="id identifier oa_none" title="none">
<a style="color:black" title="http://www.sciencedirect.com/science/article/pii/S0167278909001699?via=ihub" target="_blank" href="http://www.sciencedirect.com/science/article/pii/S0167278909001699?via=ihub">
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<a style="color:black" title="8230836375646959054" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=8230836375646959054">
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<div class="publication-citation" style="margin-left: 0.5cm;">
<span title="" class="citingPub-count">Citing papers: 31</span>
| Independent citation: 30
| Self citation: 1
| Unknown citation: 0
| Number of citations in WoS: 25
| Number of citations in Scopus: 19
| WoS/Scopus assigned: 27
| Number of citations with DOI: 26
</div>
<div class="publication-citation">
<a target="_blank" href="/api/publication?cond=citations.related;eq;2826465&sort=publishedYear,desc&sort=title">
Number of cited publications: 1
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<div class="mtid"><span class="long-pub-mtid">Publication: 2826465</span>
| <span class="status-data status-ADMIN_APPROVED"> Admin approved
</span>
<span class="oldId">Old id: 2826465</span> |
Core Citing
| <span class="type-subtype">Journal Article
( Article
)
</span>
| <span class="pub-category">Scientific</span>
| <span class="publication-sourceOfData">WOS</span>
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<div class="lastModified">Last Modified: 2018.12.03. 10:20 Bendegúz Bak (BME Áramlástan admin5)
</div>
<pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Comments</u>: Admin megjegyzés-24791014
#JournalID1#
Name: Physica D: Nonlinear Phenomena
ISSN: 0167-2789
#JournalID2#</pre>
</div></div>