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

Ескіз

Дата

2014

Автори

Bazhenov, V. A.
Pogorelova, O. S.
Postnikova, T. G.

Заголовок журналу

Журнал ISSN

ISSN журналу

0132-1471

Назва тому

Видавець

КНУБА

Анотація

Authors 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.

Опис

Ключові слова

vibro-impact system, parametric continuation technique, shooting method, Instability, monodromy matrix, multipliers, bifurcation points, the department building mechanics

Кафедра авторів

кафедра будівельної механіки

Бібліографічний опис

Bazhenov 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.

УДК

539.3

Зібрання

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