, Volume 47, Issue 4, pp 835-844

First online:

Dynamics of the shift in resonance frequency in a triple pendulum

  • Ivan Rivas-CamberoAffiliated withDivisión de Ingenierías, Universidad Politécnica de Tulancingo
  • , Jose M. Sausedo-SolorioAffiliated withCentro de Investigación Avanzada en Ingeniería Industrial, Universidad Autónoma del Estado de Hidalgo Email author 

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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