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In this paper, a nonlinear three‐degrees‐of‐freedom dynamical system con‐ sisting of a variable‐length pendulum mass attached by a massless spring to the forced slider is investigated. Numerical solution is preceded by applica‐ tion 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 con‐ cluded that near the resonance the influence of coupling of bodies on the system dynamics can lead to unpredictable dynamical behavior.

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