Title :
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
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;
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
DOI :
10.1109/ISSCAA.2010.5633382