@Article{icces.2021.08233,
AUTHOR = {Shichao Ma, Xin Ning, Pengbi Cui, Lili Ren, Liang Wang},
TITLE = {Global Analysis of Crisis in a Non-smooth Vibration Oscillator},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {23},
YEAR = {2021},
NUMBER = {1},
PAGES = {7--8},
URL = {http://www.techscience.com/icces/v23n1/42023},
ISSN = {1933-2815},
ABSTRACT = {Vibration isolation design is essential for the spacecraft
capture operation in the on-orbit servicing missions. And contact impact is also inevitable in this process, which can be simplified as
piece-smooth ordinary differential equations and generate abundant
dynamics phenomena. Therefore, it is especially important to study
the contact dynamics responses. And global behavior research can
be visualized the characteristics of system. Aiming to this issue, the 
global dynamics of a single-degree-of-freedom non-smooth 
mechanical system in a vibration isolation experiment is studied by
using advanced numerical procedure in this paper. For this non- smooth impact and friction oscillator, the forcing frequency is used as a bifurcation parameter. We discussed the crisis phenomenon with the
forcing frequency changing near the point of the grazing
bifurcation. The small range of the forcing frequency decrease from
0.7954 to 0.794 and increase from 0.8000 to 0.8001 which are
included the internal crisis (the attractor colliding with the internal
saddle), the boundary crisis (the attractor colliding with the
boundary saddle), the combined crisis (the multiple attractors colliding with the boundary saddle at the same time). Different from the chaotic transient, the crisis phenomena of steady state caused
by a small range of external force frequency indicates the sensitivity
of system stability. And research of global dynamics have certain
significances for the reliability and stability analysis of practical engineering},
DOI = {10.32604/icces.2021.08233}
}