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Exact solutions of the problem of the vibro-impact oscillations of a discrete system with two degrees of freedom

โœ Scribed by M.A.F. Aziz; A.F. Vakakis; L.I. Manevich

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
309 KB
Volume
63
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

Non-smooth time transformations are used to investigate strongly non-linear periodic free oscillations of a vibro-impact system with two degrees of freedom. Allowance for the boundary conditions at collision times enables the singularities induced by these transformations to be eliminated. The smoothed equations of motion turn out to be linear. Investigation of the periodic solutions reveals vibro-impact states with one-an two-sided collisions, including localized states (only one of the masses experiences collisions with stopping devices), and their bifurcation structure,

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