Inverted spring pendulum driven by a periodic force: Linear versus nonlinear analysis

A. Arinstein, M. Gitterman

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We analyse the stability of the spring inverted pendulum with the vertical oscillations of the suspension point. An important factor in the stability analysis is the interaction between radial and oscillating modes. In addition to the small oscillations near the upper position, the nonlinearity of the problem leads to the appearance of limit-cycle oscillations of finite amplitudes.

Original languageEnglish
Pages (from-to)385-392
Number of pages8
JournalEuropean Journal of Physics
Volume29
Issue number2
DOIs
StatePublished - 1 Mar 2008

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