An impact oscillator with a grazing cycle
Discontinuity, Nonlinearity, and Complexity, cilt.6, sa.2, ss.105-111, 2017 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 6 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.5890/dnc.2017.06.001
- Dergi Adı: Discontinuity, Nonlinearity, and Complexity
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.105-111
- Anahtar Kelimeler: Asymptotic stability, Grazing periodic solution, Grazing point, Linearization at a grazing point, Variable coefficient of restitution
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
© 2017 L&H Scientific Publishing, LLC.An oscillator which impacts against a rigid barrier is taken into account. A cycle with zero impact velocity is discussed. The main result of this article concerns stability of the grazing cycle. A significant attention to a model with the variable coefficient of restitution depending on velocity is paid. The mechanical reasons for that are provided as well as new theo- retical advantages have been discovered for the investigation of dynamics near a grazing cycle. The W-map which reduces the system with variable moments of impacts to that with fixed moments and simplifies the analy- sis, is defined. A new type of linearization system with two compounds is applied to investigate the stability of the grazing cycle whose existence is easily examined. A new approach to suppress a singularity, caused by the tangency, in linearization has been developed. Simulations are provided to visualize the stability of the grazing cycle.