Rare Dangerous Attractors in the Nonlinear Vibroprotecting System with Elastic Constrains

Proceedings of International Scientific-Practical Student Conference “The Role and Opportunities of Young People in the Development of Engineering Education” 2007
Aleksejs Klokovs, Mihails Zakrževskis

The paper considers the script of appearance of rare dangerous attractors in typical dissipative oscillation systems with one degree of freedom and with nonlinear elastic characteristic of hard type at harmonic excitation. Two types of elastic symmetric nonlinear suspension are examined: with trilinear characteristic and with cubic characteristic of Duffing type. The bifurcations diagrams with rare attractors and their domains of attraction are plotted, as well as exact analytical solution of rare attractors and their stability for trilinear system are produced.

Keywords
нелинейная виброзащитная система, трилинейная упругая характеристика, редкий аттрактор, бифуркация, устойчивость.

Klokovs, A., Zakrževskis, M. Rare Dangerous Attractors in the Nonlinear Vibroprotecting System with Elastic Constrains. In: Proceedings of International Scientific-Practical Student Conference “The Role and Opportunities of Young People in the Development of Engineering Education”, Latvia, Daugavpils, 19-20 April, 2007. Daugavpils: RTU Daugavpils filiāle, 2007, pp.53-61.

Publication language
Russian (ru)