Stability of an autoparametric pendulum system with impacts

Research output: Contribution to journalArticlepeer-review


Colleges, School and Institutes

External organisations

  • Heriot-Watt University
  • Jan Kochanowski University, Kielce


This paper considers a small oscillatory motion of a pendulum suspended on a single-degree-of-freedom system subjected to a narrow band excitation and impacts due to a barrier located at a certain distance from the system's equilibrium position. The influence of a impacting motion of the single-degree-of-freedom system onto the instability boundaries of the pendulum is investigated. It is demonstrated that the impacting motion significantly changes the shape of the instability domain compared to the traditional one inherent to the Mathieu equation.


Original languageEnglish
Pages (from-to)7233-7247
Number of pages15
JournalJournal of Sound and Vibration
Issue number26
Early online date11 Sep 2014
Publication statusPublished - 22 Dec 2014