J. Baillieul, Mark Levi

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The purpose of this paper is to briefly describe recent research aimed at developing a theory of the rotational dynamics of complex elastic and articulated structures. There are two main sections to this paper. Section 2 presents a derivation of the hybrid system of equations describing the rotational dynamics of a wide class of complex structures. These extend both the classical field equations of solid mechanics and the Euler equations for rotating rigid bodies. Section 3 describes the qualitative dynamical theory of a simple prototype structure consisting of a rigid hub with an elastic appendage undergoing a one degree of freedom rotation. The model includes structural damping, and the focus is on the interplay between energy dissipation and the nonlinear dynamics.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
Number of pages9
ISBN (Print)0444700552
StatePublished - Dec 1 1986

All Science Journal Classification (ASJC) codes

  • General Engineering


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