Stabilization of a rotating geometrically exact rod

Author

Posbergh, Thomas A. ; Pu, Yong-Ren ; Zhao, Rongze

Author_Institution

Dept. of Aerosp. Eng. & Mech., Minnesota Univ., Minneapolis, MN, USA

Volume

4

fYear

1995

fDate

21-23 Jun 1995

Firstpage

2483

Abstract

The problem of stabilization of the uniform rotation of a geometrically exact rod is investigated. A three dimensional, geometrically exact rod model including shear, extension, torsion and flexure is stabilized by means of a feedback torque applied to the boundary. The energy-momentum method of stability analysis is used as the basis of the feedback control design. The result shows that there exist critical rotation rates associated with the internal vibrations which cannot be removed by torque feedback. An example is presented for the case of uniform axial rotation

Keywords

distributed parameter systems; feedback; flexible structures; stability; critical rotation rates; energy-momentum method; extension; feedback control design; feedback torque; flexure; internal vibrations; shear; stabilization; three dimensional geometrically exact rod model; torsion; uniform axial rotation; uniform rotation; Context modeling; Control systems; Damping; Deformable models; Feedback control; Robust control; Solid modeling; Stability analysis; Torque; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.532291

Filename

532291