Dynamics of a Autonomous Fractional-Order Viscoelastic System

摘要：

The vibration characteristics of a autonomous viscoelastic system described by fractional-order differential, combined with nonlinear damping of Van Der Pol system and cubic nonlinear resilience of Duffing system are researched in this paper. The background of research is based upon two engineering practices: one is that the viscoelastic behaviors of some advanoed polymeric materials can be accurately modeled by the fractional calculus constiutine model;the other is that nonlinear restoring force cannot be neglected in case of large displacement vibration. The results show that the self-excited vibration character of this FrOVS is to some extent similar with the classical Van Der Pol system, meanwhile, the system can exhibit different output behavior depending on the fractional-order and the cubic nonlinear resilience coefficient and the damping coefficient.

关键词： Fractional Derivative Mode Nonlinear Viscoelastic System Self-excited Vibration

作者: Yuan-ping LI Wei ZHANG

作者单位: Key Lab of Disaster Forecast and Control in Engineering,Ministry of Education,China Jinan University Guangzhou 510632,China Department of Electronic Engineering,Jinan University

会议类型: 国际会议

会议名称: The Third International Conference on Modelling and Simulation(第三届国际建模、计算、仿真、优化及其应用学术会议 ICMS 2010)

会议地点: 无锡

会议语种:英文

页码: 129-132

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）