Near the resonance behavior of a periodicaly forced partially dissipative three-degrees-of-freedom mechanical system
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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| Main Authors: | , , , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Associação Brasileira de Ciências Mecânicas
2018
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000500505 |
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