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Latin American Journal of Solids and Structures

versão impressa ISSN 1679-7817versão On-line ISSN 1679-7825


PIETRZAK, Paweł et al. Near the resonance behavior of a periodicaly forced partially dissipative three-degrees-of-freedom mechanical system. Lat. Am. j. solids struct. [online]. 2018, vol.15, n.5, e43.  Epub 14-Jun-2018. ISSN 1679-7825.

In this paper, a nonlinear three-degrees-of-freedom dynamical system consisting of a variable-length pendulum mass attached by a massless spring to the forced slider is investigated. Numerical solution is preceded by application of Euler-Lagrange equation. Various techniques like time histories, phase planes, Poincaré maps and resonance plots are used to observe and identify the system responses. The results show that the variable-length spring pendulum suspended from the periodically forced slider can exhibit quasi-periodic, and in a resonance state, even chaotic motions. It was concluded that near the resonance the influence of coupling of bodies on the system dynamics can lead to unpredictable dynamical behavior.

Palavras-chave : Euler-Lagrange equation; time history; phase plane; Poincaré map; resonance plot; dynamical analysis; quasi-periodic motion; chaos.

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