Deflection vector diagrams for a mass under PD control

Author

Robertson, Michael J. ; Singhose, William E.

Author_Institution

Woodruff Sch. of Mech. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

4

fYear

2003

fDate

4-6 June 2003

Firstpage

2815

Abstract

This paper documents a new tool for both eliminating the residual vibration and reducing the transient deflection of a flexible system. A deflection vector diagram has been developed to graphically predict both the residual vibration and the transient deflection for a mass under PD control, or equivalently, a mass-printing-damper system with position input. The deflection vector diagram leads to the creation of specified-deflection, zero vibration command shapers. These specified-deflection shapers limit the transient deflection to a predetermined ratio of the unshaped command for an arbitrary reference command.

Keywords

PD control; flexible structures; vectors; vibration control; PD control; arbitrary reference command; deflection vector diagrams; flexible system; mass-spring damper system; residual vibration; specified-deflection shapers; transient deflection; zero vibration command shapers; DVD; Delay effects; Equations; Frequency; Mechanical engineering; Oscillators; PD control; Robustness; Shape control; Vibration control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1243749

Filename

1243749