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Explanation of appearance and characteristics of intermittency chaos of the impact oscillator

✍ Scribed by František Peterka; Tadashi Kotera; Stanislav Čipera

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
575 KB
Volume
19
Category
Article
ISSN
0960-0779

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✦ Synopsis

Chaotic motion of an intermittency type of the impact oscillator appears near segments of saddle-node stability boundaries of subharmonic motions with two different impacts in motion period, which is n multiple ðn P 3Þ of excitation period. Chaotic motion arises due to an additional impact, which interrupts the process of instability. It is proved and shown by numerical simulations of the system motion. More detail characteristics of the intermittency chaos are evaluated. Described phenomena present a non-usual example, when transition cross special segments of saddle-node stability boundaries of subharmonic impact motions is reversible.

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This paper studies the non-linear dynamic response of a cracked rotor by taking the swing vibration of disc into consideration. The results show that if a small crack appears, the frequency of transverse oscillation is synchronous with rotating speed ratio (O), and the frequency of swing vibration i