Reversible dynamical systems: Dissipation-induced destabilization and follower forces

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Abstract

This paper uses results from the theory of reversible dynamical systems to examine the nonlinear stability of undamped follower force systems. The well-known dissipation-induced destabilization found in these systems is also examined and it is indicated how the postdestabilization dynamics can be determined using normal forms and an eigenvalue splitting criterion.

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Cited by (3)

Presented at the Sixth Workshop on Dynamics and Control, held July 5–7, 1993 at the Technical University of Vienna, Austria.

1

The work of N. K. Malhotra and N. S. Namachchivaya was supported by the AFOSR (grant no. 93-0063).

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