Title :
Study on main resonance bifurcations and grazing bifurcations of SDOF bilinear system
Author :
He, Qiwei ; Feng, Shaowei ; Zhang, Jing
Author_Institution :
Naval Univ. of Eng., Wuhan, China
Abstract :
The KBM method was applied to study the amplitude-frequency equation of SDOF bilinear system. The main resonance bifurcations and grazing bifurcations where deeply analyzed and the transform sets of the system were determined based on the singularity theory. The amplitude-frequency curves within different transition sets were analyzed, and then the excitation parameter regions where the amplitude-frequency curve jumping occurred were determined.
Keywords :
bifurcation; bilinear systems; SDOF bilinear system; amplitude frequency equation; grazing bifurcation; resonance bifurcation; transform set; Bifurcation; Harmonic analysis; Isolators; Mathematical model; Transforms; Vibrations;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2010 International Conference on
Conference_Location :
Dalian
Print_ISBN :
978-1-4244-7047-1
DOI :
10.1109/ICICIP.2010.5564295