Application of parameter continuation method for investigation of vibroimpact systems dynamic behaviour. problem state. short survey of world scientific literature

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dc.contributor.authorBazhenov, V. A.
dc.contributor.authorPogorelova, O. S.
dc.contributor.authorPostnikova, T. G.
dc.date.accessioned2020-04-13T17:05:19Z
dc.date.available2020-04-13T17:05:19Z
dc.date.issued2014
dc.description.abstractAuthors in their works study vibroimpact system dynamic behaviour by numerical parametric continuation technique combined with shooting and Newton-Raphson’s methods. The technique is adapted to two-mass two-degree-of-freedom vibroimpact system under periodic excitation. Impact is simulated by nonlinear contact interaction force based on Hertz’s contact theory. Stability or instability of obtained periodic solutions is determined by monodromy matrix eigenvalues (multipliers) based on Floquet’s theory. In the present paper we describe the state of problem of parameter continuation method using for nonlinear tasks solution. Also we give the short survey of numerous contemporary literature in English and Russian about parameter continuation method application for nonlinear problems. This method is applied for vibroimpact problem solving more rarely because of the difficulties connected with repeated impacts.uk_UA
dc.identifier.citationBazhenov V. A. Application of parameter continuation method for investigation of vibroimpact systems dynamic behaviour. problem state. short survey of world scientific literature / V. A. Bazhenov, O. S. Pogorelova, O. S. Pogorelova // Опір матеріалів і теорія споруд : наук.- техн. зб. / Київ. нац. ун-т буд-ва і архіт. ; відп. ред. В. А. Баженов. – Київ, 2014. – Вип. 93. – С. 110-117. - Бібліогр. : 45 назв.uk_UA
dc.identifier.issn0132-1471
dc.identifier.urihttps://repositary.knuba.edu.ua/handle/987654321/2495
dc.language.isoenuk_UA
dc.publisherКНУБАuk_UA
dc.subjectvibro-impact systemuk_UA
dc.subjectparametric continuation techniqueuk_UA
dc.subjectshooting methoduk_UA
dc.subjectInstabilityuk_UA
dc.subjectmonodromy matrixuk_UA
dc.subjectmultipliersuk_UA
dc.subjectbifurcation pointsuk_UA
dc.subjectthe department building mechanicsuk_UA
dc.subjectкафедра будівельної механікиuk_UA
dc.subject.udc539.3uk_UA
dc.titleApplication of parameter continuation method for investigation of vibroimpact systems dynamic behaviour. problem state. short survey of world scientific literatureuk_UA
dc.typeArticleuk_UA

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