Atıf İçin Kopyala
AKHMET M., Cag S.
NONLINEAR DYNAMICS, cilt.90, sa.4, ss.2797-2812, 2017 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
90
Sayı:
4
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Basım Tarihi:
2017
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Doi Numarası:
10.1007/s11071-017-3840-3
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Dergi Adı:
NONLINEAR DYNAMICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.2797-2812
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Anahtar Kelimeler:
Singularity in impact moments, Chattering, Singular perturbation, PERTURBED SYSTEMS, EXPONENTIAL STABILITY, NONLINEAR DYNAMICS, OSCILLATOR, BEHAVIOR, SLOW
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Orta Doğu Teknik Üniversitesi Adresli:
Evet
Özet
This paper presents the chattering through the singularity point of view for the first time. The main novelty of this article is that impact moments are considered as a singularity phenomenon. A bouncing ball, an inverted pendulum and a hydraulic relief valve models are considered for the study. Moreover, the behavior of solutions of a spring-mass system is studied for the small mass. Simulations are given to support the theoretical analysis.