A new approach for constructing equivalent approximate time-invariant forms for general multi-dimensional dynamical systems subjected to periodic parametric excitations is presented. The technique is based on the application of the Liapunov-Floquet transformation and normal form theory. It is shown that a dynamical system described by a set of second order differential equations with periodic coefficients can be transformed to a similar set of equations which is time-invariant.
|Number of pages
|American Society of Mechanical Engineers, Applied Mechanics Division, AMD
|Published - 1994
|Proceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA
Duration: Nov 6 1994 → Nov 11 1994
ASJC Scopus subject areas
- Mechanical Engineering