Study on chaotic characteristics of horizontal nonlinear roller system with fractional order

被引：0
作者：
Li Jiang
Tao Wang
Qing-Xue Huang
Wei Shi
机构：
[1] Taiyuan University of Science and Technology,School of Mechanical Engineering
[2] Chengdu Technological University,College of Intelligent Manufacturing
[3] Taiyuan University of Technology,College of Mechanical and Vehicle Engineering
[4] Taiyuan University of Technology,Engineering Research Center of Advanced Metal Composites Forming Technology and Equipment of Ministry of Education
来源：
Archive of Applied Mechanics | 2023年 / 93卷
关键词：
Roller system; Fractional order; Melnikov method; Chaotic characteristics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, Duffing oscillator is introduced to study the chaotic characteristics of nonlinear roller system in detail. Firstly, the horizontal nonlinear dynamics equations of the roller system with fractional derivative terms were established . Secondly, amplitude–frequency characteristics of the system by the multi-scale method were solved and the influence relationship of various parameters on the system was discussed. Thirdly, according to the perturbation theory and the Melnikov method, the necessary conditions were studied for generating chaos under the Smale horseshoe meaning of the roller system. Finally, the coincidence of the analytical and numerical solutions was verified . And the chaotic characteristics of the system are studied by numerical simulation.
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页码：2435 / 2447
页数：12
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