Nonlinear response of the mass-spring model with non-smooth stiffness
Artykuł w czasopiśmie
Status: | |
Autorzy: | Litak Grzegorz, Seoane Jesus M., Zambrano Samuel, Sanjuan Miguel A. F. |
Rok wydania: | 2012 |
Wersja dokumentu: | Drukowana | Elektroniczna |
Język: | angielski |
Numer czasopisma: | 1 |
Wolumen/Tom: | 22 |
Strony: | 1 - 11 |
Impact Factor: | 0,921 |
Web of Science® Times Cited: | 9 |
Scopus® Cytowania: | 10 |
Bazy: | Web of Science | Scopus |
Efekt badań statutowych | NIE |
Materiał konferencyjny: | NIE |
Publikacja OA: | NIE |
Abstrakty: | polski |
In this paper we study the nonlinear response of the nonlinear mass-spring model with non- smooth stiffness. For this purpose, we take as prototype model, a system that consist in thedouble-well smooth potential with an additional spring component acting into the system onlyfor large enough displacement. We focus our study in the analysis of the homoclinic orbits forsuch nonlinear potential for which we observe the appearance of chaotic motion in the presenceof damping effects and an external harmonic force, analyzing the crucial role of the linear springin the dynamics of our system. The results has been shown by using both the Melnikov analysisand numerical simulations. We expect our work to have implications in problems concerning tosuspension of vehicles, among others. |