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Information × Registration Number 2114U007171, Article popup.category Стаття Title Application of parameter continuation method for investigation of vibroimpact systems dynamic behavior. short survey of world scientific literature (AI translated) popup.author Bazhenov V. A.Pogorelova O. S.Postnikova T. G.Bazhenov V. A.Pogorelova O. S.Postnikova T. G. popup.publication 01-01-2014 popup.source_user Київський національний університет будівництва і архітектури popup.source https://repositary.knuba.edu.ua/handle/987654321/2495 popup.publisher КНУБА Description 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. popup.nrat_date 2026-04-20 Close