, Volume 47, Issue 4, pp 835–844 | Cite as

Dynamics of the shift in resonance frequency in a triple pendulum



We propose a general model for pendular systems with an arbitrary number of links arranged sequentially. The form of this model is easily adaptable to different settings and operating conditions. The main subject of analysis is a system obtained as a specific case taken from the general analysis, a three-links pendulum with damping subject to periodic perturbation. We performed a theoretical analysis of the frequency response and compared it with results from temporal integration. Moreover, a law was obtained explaining the behavior of the shift of the resonant frequencies due to a change in a parameter.


Triple pendulum Resonance frequency Frequency shift Friction 


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© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.División de IngenieríasUniversidad Politécnica de TulancingoTulancingo HidalgoMexico
  2. 2.Centro de Investigación Avanzada en Ingeniería IndustrialUniversidad Autónoma del Estado de HidalgoPachuca HidalgoMexico

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