Rotary motion of the parametric and planar pendulum under stochastic wave excitation

Anna Najdecka, S. Narayanan, Marian Wiercigroch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


In this paper a rotary motion of a pendulum subjected to a parametric and planar excitation of its pivot mimicking random nature of sea waves has been studied. The vertical motion of the sea surface has been modelled and simulated as a stochastic process, based on the Shinozuka approach and using the spectral representation of the sea state proposed by Pierson-Moskowitz model. It has been investigated how the number of wave frequency components used in the simulation can be reduced without the loss of accuracy and how the model relates to the real data. The generated stochastic wave has been used as an excitation to the pendulum system in numerical and experimental studies. For the first time, the rotary response of a pendulum under stochastic wave excitation has been studied. The rotational number has been used for statistical analysis of the results in the numerical and experimental studies. It has been demonstrated how the forcing arrangement affects the probability of rotation of the parametric pendulum. (C) 2015 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)30-38
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Early online date14 Jan 2015
Publication statusPublished - May 2015


  • parametric and planar pendulums
  • rotations
  • simulation of random processes
  • stochastic excitation
  • rotational number
  • excited pendulum
  • rotating-solutions
  • symmetry-breaking
  • bifurcations
  • orbits
  • escape
  • chaos
  • modeljavascript:void(0)


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