Chaotic Behavior of a Cantilever Beam Subjected to Magnetic Force

Qin Zhu, Dariusz Gafka, Junji Tani, Toshiyuki Takagi, Kikuo Otomo

Research output: Contribution to journalArticlepeer-review


The chaotic vibration of a cantilever beam with a permanent magnet and an additional mass on its free tip was studied experimentally. The beam was installed vertically and its clamped end was excited by harmonic force. Another permanent magnet was fixed under the free tip of the beam. Experimental evidence for the existence of a strange attractor in this deterministic dynamic system was presented. It is found that chaotic responses of the beam are much larger than its resonant ones. The range of chaotic vibrations changes obviously with the decrease in the distance between two magnets. The bifurcation diagram shows that the response of the beam suddenly comes into chaos from the regular vibration with the increase in the exciting amplitude. Experimental Poincaré maps agree well with the numerical results.

Original languageEnglish
Pages (from-to)2057-2061
Number of pages5
Journaltransactions of the japan society of mechanical engineers series c
Issue number551
Publication statusPublished - 1992
Externally publishedYes


  • Cantilever Beam
  • Chaos
  • Experiment
  • Magnetic Force
  • Nonlinear Vibration

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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