Near the resonance behavior of a periodicaly forced partially dissipative three-degrees-of-freedom mechanical system

AUTOR(ES)

Pietrzak, Paweł, Ogińska, Marta, Krasuski, Tadeusz, Figueiredo, Kévin, Olejnik, Paweł

FONTE

Lat. Am. j. solids struct.

DATA DE PUBLICAÇÃO

14/06/2018

RESUMO

Abstract 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.

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