| Issue |
MATEC Web Conf.
Volume 415, 2025
International Colloquium on Mechanical and Civil Engineering (ICMCE’2025)
|
|
|---|---|---|
| Article Number | 02005 | |
| Number of page(s) | 7 | |
| Section | Analysis and Structural Calculations in Mechanical Engineering | |
| DOI | https://doi.org/10.1051/matecconf/202541502005 | |
| Published online | 27 October 2025 | |
Jump threshold in a forced and time-delayed Hertzian contact oscillator near the 2-subharmonic resonances
1 Department of Engineering Sciences Laboratory of MMESA FSTE Moulay Ismail University, Morocco.
2 Department of Education, Sciences and Techniques LEST, ESEFB, Hassan First University, Morocco.
3 Laboratory of Mechanics FSAC University Hassan II, Casablanca, Morocco.
4 Department of Engineering Sciences LIMSIS, ENES, Moulay Ismail University, Morocco.
* Corresponding author: amine.bichri@gmail.com
In this problem we analyze the influence of external feedback time on the threshold in a forced nonlinear Hertzian contact system nearby the sub-harmonic resonance. A perturbation method is performed to approximate vibration amplitudes and their stability near the secondary resonance. The influence of delay state feedback presents in the posi-tion, in the velocity or in both cases are studied. The analytical results shown that for appropriate values of the gain and time delay, the fre-quency amplitudes shift in the direction of high or low frequencies where the softening bistability persists.
Key words: Hertzian Contact / Time Delay feedback / Perturbation method / Bistability / Page layout
© The Authors, published by EDP Sciences, 2025
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