Nonlinear dynamics of flexible structures: geometrically exact formulation and stability

Author

Simo, J.C. ; Posbergh, T.A.

Author_Institution

Dept. of Mech. Eng., Stanford Univ., CA, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

1732

Abstract

The stability of flexible structures coupled with rigid bodies performing large overall motions is investigated. The analysis is based on geometrically exact models which have no restriction on the degree of flexibility and enjoy the exact satisfaction of all invariance requirements under superposed rigid body motions. For these models there is a natural decomposition which decouples the dynamics into a space of rigid body motions and its complement. The stability of relative equilibria are then explored by a method referred to as the energy-momentum method, which incorporates the conserved quantities of the system. By exploiting these invariants along with the underlying structure, stability criteria for the relative equilibria can be found

Keywords

distributed parameter systems; dynamics; stability criteria; distributed parameter systems; energy-momentum method; flexible structures; natural decomposition; nonlinear dynamics; relative equilibria; rigid bodies; stability criteria; Computer simulation; Contracts; Deformable models; Flexible structures; Mechanical engineering; Motion analysis; Numerical simulation; Solid modeling; Space vehicles; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194624

Filename

194624