MECHANICS OF ROTATING STRUCTURES.

J. Baillieul, Mark Levi

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

Abstract

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
PublisherNorth-Holland
Pages497-505
Number of pages9
ISBN (Print)0444700552
StatePublished - 1986

Fingerprint

Mechanics
Euler equations
Degrees of freedom (mechanics)
Hybrid systems
Energy dissipation
Damping

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Baillieul, J., & Levi, M. (1986). MECHANICS OF ROTATING STRUCTURES. In Unknown Host Publication Title (pp. 497-505). North-Holland.
Baillieul, J. ; Levi, Mark. / MECHANICS OF ROTATING STRUCTURES. Unknown Host Publication Title. North-Holland, 1986. pp. 497-505
@inproceedings{1b5dd0369c9346588cf4ca0a249d9c87,
title = "MECHANICS OF ROTATING STRUCTURES.",
abstract = "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.",
author = "J. Baillieul and Mark Levi",
year = "1986",
language = "English (US)",
isbn = "0444700552",
pages = "497--505",
booktitle = "Unknown Host Publication Title",
publisher = "North-Holland",

}

Baillieul, J & Levi, M 1986, MECHANICS OF ROTATING STRUCTURES. in Unknown Host Publication Title. North-Holland, pp. 497-505.

MECHANICS OF ROTATING STRUCTURES. / Baillieul, J.; Levi, Mark.

Unknown Host Publication Title. North-Holland, 1986. p. 497-505.

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

TY - GEN

T1 - MECHANICS OF ROTATING STRUCTURES.

AU - Baillieul, J.

AU - Levi, Mark

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0022985778&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022985778&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0444700552

SP - 497

EP - 505

BT - Unknown Host Publication Title

PB - North-Holland

ER -

Baillieul J, Levi M. MECHANICS OF ROTATING STRUCTURES. In Unknown Host Publication Title. North-Holland. 1986. p. 497-505