https://m2.mtmt.hu/ hun 2026-05-01 02:15 JournalArticle 34855016 APPROVED true 0 false 2026-01-01T18:18:17.787+0000 2024-06-17T11:19:32.572+0000 2024-05-15T10:11:21.286+0000 true 10053835 Sykora Henrik Tamás /api/author/10053835 Author Sykora Henrik Tamás (Műszaki mechanika) true 10053835 2024-06-17T11:19:32.859+0000 2024-06-17T11:19:32.859+0000 true false true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Szakcikk (Folyóiratcikk) 101 true 10000059 true 1 /api/category/1 Category Tudományos true 1 Sykora, Henrik T. true true /api/journal/14303 REVIEWED NONLINEAR DYNAMICS 0924-090X 1573-269X true false 14303 false 14303 true 0924-090X 1573-269X Journal FOREIGN 112 11 9095 9116 9095 22 2024 In this work we propose the Step Matrix Multiplication based Path Integration method (SMM-PI) for nonlinear vibro-impact oscillator systems. This method allows the efficient and accurate deterministic computation of the time-dependent response probability density function by transforming the corresponding Chapman–Kolmogorov equation to a matrix–vector multiplication using high-order numerical time-stepping and interpolation methods. Additionally, the SMM-PI approach yields the computation of the joint probability distribution for response and impact velocity, as well as the time between impacts and other important characteristics. The method is applied to a nonlinear oscillator with a pair of impact barriers, and to a linear oscillator with a single barrier, providing relevant densities and analysing energy accumulation and absorption properties. We validate the results with the help of stochastic Monte-Carlo simulations and show the superior ability of the introduced formulation to compute accurate response statistics. true 2024 true true true false true false NONE 2026-01-01 false 6 0 6 6 0 6 6 6 1 6 6 6 6 6 0 0 6 6 6 6 0 3 3 Folyóiratcikk Journal Article 24 6 Könyvrészlet Chapter in Book 25 0 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2024 0 1 1 1 1 2025 0 5 5 5 5 D1 false 10053835 false false false 2024-08-13T10:14:09.231+0000 Műszaki Mechanikai Tanszék (BME / GPK) 1 4 1 3 0 true Language 10002 /api/language/10002 Angol Angol English true 2 true PersonAuthorship 116604618 /api/authorship/116604618 Sykora, Henrik T. [Sykora, Henrik Tamás (Műszaki mechanika), szerző] Műszaki Mechanikai Tanszék (BME / GPK) 1 0.33333334 true false false Author 10053835 /api/author/10053835 Sykora Henrik Tamás (Műszaki mechanika) Sykora Henrik Tamás true 10053835 true Sykora Henrik T. true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 116604619 /api/authorship/116604619 Kuske, Rachel 2 0.33333334 false false false Kuske Rachel true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 116604620 /api/authorship/116604620 Yurchenko, Daniil 3 0.33333334 false true false Yurchenko Daniil true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PublicationIdentifier 26608621 /api/publicationidentifier/26608621 DOI: 10.1007/s11071-024-09513-y PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true IDENTICAL 10.1007/s11071-024-09513-y https://doi.org/10.1007/s11071-024-09513-y false true PublicationIdentifier 26608620 /api/publicationidentifier/26608620 WoS: 001227463800046 PlainSource 1 /api/publicationsource/1 WoS PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true IDENTICAL 001227463800046 https://www.webofscience.com/wos/woscc/full-record/001227463800046 false true PublicationIdentifier 26608622 /api/publicationidentifier/26608622 Scopus: 85190552778 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 85190552778 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85190552778 false true PublicationIdentifier 26183713 /api/publicationidentifier/26183713 Egyéb URL: https://link.springer.com/10.1007/s11071-024-09513-y PlainSource 40 /api/publicationsource/40 Egyéb URL PublicationSourceType 10006 /api/publicationsourcetype/10006 Link true true true Egyéb URL Other URL @@@ true true 40 true https://link.springer.com/10.1007/s11071-024-09513-y https://link.springer.com/10.1007/s11071-024-09513-y false true Classification 10984 /api/classification/10984 Gépészmérnöki tudományok true true Keyword 6052 /api/keyword/6052 Probability density function true 6052 true Keyword 1090558 /api/keyword/1090558 Stochastic differential equations true 1090558 true Keyword 1377113 /api/keyword/1377113 Nonsmooth dynamics true 1377113 true Keyword 1580867 /api/keyword/1580867 random dynamical system true true Keyword 3446345 /api/keyword/3446345 Vibroimpact systems true true Keyword 3446346 /api/keyword/3446346 Path integration method true true Keyword 3446347 /api/keyword/3446347 Chapman Kolmogorov equation true true SjrRating 11488462 /api/sjrrating/11488462 sjr:D1 (2024) Scopus - Ocean Engineering NONLINEAR DYNAMICS 0924-090X 1573-269X 9 0.1 journal RatingType 10002 /api/ratingtype/10002 sjr sjr true true ClassificationExternal 2212 /api/classificationexternal/2212 Scopus - Ocean Engineering true 2212 true D1 DIRECT true true Reference 52961956 /api/reference/52961956 1. 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(2024) NONLINEAR DYNAMICS 0924-090X 1573-269X 112 11 9095-9116<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="10053835"><a href="/gui2/?type=authors&mode=browse&sel=10053835" target="_blank">Sykora Henrik T. (<span class="authorship-author-name">Sykora Henrik Tamás</span> <span class="authorAux-mtmt"> Műszaki mechanika</span>) </a> </span> <span class="author-affil"><span title="Budapesti Műszaki és Gazdaságtudományi Egyetem">BME</span>/<span title="Gépészmérnöki Kar">GPK</span>/Műszaki Mechanikai Tanszék</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Kuske Rachel </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Yurchenko Daniil </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;34855016" target="_blank">Stochastic dynamics of mechanical systems with impacts via the Step Matrix multiplication based Path Integration method</a></div> <div> <span class="journal-title">NONLINEAR DYNAMICS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0924-090X">0924-090X</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1573-269X">1573-269X</a>)</span>: <span class="journal-volume">112</span> <span class="journal-issue">11</span> <span class="page"> pp 9095-9116 </span> <span class="year">(2024)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1007/s11071-024-09513-y" target="_blank" href="https://doi.org/10.1007/s11071-024-09513-y"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="001227463800046" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/001227463800046"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85190552778" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85190552778"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://link.springer.com/10.1007/s11071-024-09513-y" target="_blank" href="https://link.springer.com/10.1007/s11071-024-09513-y"> Egyéb URL </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Ocean Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Aerospace Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Applied Mathematics&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Control and Systems Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Electrical and Electronic Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Mechanical Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 6</span> | Független: 6 | Függő: 0 | Nem jelölt: 0 | WoS jelölt: 6 | Scopus jelölt:&nbsp;1 | WoS/Scopus jelölt:&nbsp;6 | DOI jelölt:&nbsp;6 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;34855016&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 3 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 34855016</span> | <span class="status-data status-APPROVED"> Nyilvános </span> Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Utolsó módosítás: 2024.06.17. 13:19 Fülöp Tamás (BME GPK admin5) </div> </div></div>