Time-delay control for non-linear dynamic cantilever beam

Author

Liu, Canchang ; Ren, Chuanbo

Author_Institution

Sch. of Transp. & Vehicle Eng., Shandong Univ. of Technol., Zibo, China

fYear

2010

fDate

8-10 June 2010

Firstpage

1388

Lastpage

1391

Abstract

Based on spring time-delay feedback controller, the excited cantilever beam modeled as an inextensible Euler-Bernoulli beam is investigated for the primary resonance. The spring controller is designed to control the dynamic behavior of the nonlinear dynamic system. The method of multiple scales is utilized directly to obtain the linear equations. The effect of the feedback gain and time-delay on the steady state response is investigated. It is found that proper selection of the feedback gain and time-delay can enhance the control performance. The bifurcation can be eliminated or the position of bifurcation point can be changed.

Keywords

beams (structures); bifurcation; cantilevers; delays; feedback; nonlinear dynamical systems; Euler-Bernoulli beam; bifurcation; feedback gain; nonlinear dynamic cantilever beam; spring controller; spring time delay feedback controller; steady state response; Bifurcation; Delay effects; Eigenvalues and eigenfunctions; Nonlinear dynamical systems; Springs; Structural beams; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control in Aeronautics and Astronautics (ISSCAA), 2010 3rd International Symposium on

Conference_Location

Harbin

Print_ISBN

978-1-4244-6043-4

Electronic_ISBN

978-1-4244-7505-6

Type

conf

DOI

10.1109/ISSCAA.2010.5633382

Filename

5633382