Order reduction of nonlinear time periodic systems

S. C. Sinha, Sangram Redkar, Eric A. Butcher

Research output: Contribution to conferencePaperpeer-review

2 Scopus citations


This work reports new approaches for order reduction of nonlinear systems with time periodic coefficients. First, the equations of motion are transformed using the Lyapunov-Floquet (LF) transformation, which makes the linear part of new set of equations time invariant. At this point, either linear or nonlinear order reduction methodologies can be applied. The linear order reduction technique is based on classical technique of aggregation and nonlinear technique is based on 'Time periodic invariant manifold theory'. These methods do not assume the parametric excitation term to be small. The nonlinear order reduction technique yields superior results. An example of two degrees of freedom system representing a magnetic bearing is included to show the practical implementation of these methods. The conditions when order reduction is not possible are also discussed.

Original languageEnglish (US)
Number of pages8
StatePublished - 2003
EventProceedings of the Tenth International Congress on Sound and Vibration - Stockholm, Sweden
Duration: Jul 7 2003Jul 10 2003


OtherProceedings of the Tenth International Congress on Sound and Vibration

ASJC Scopus subject areas

  • General Engineering


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