节点文献

分数阶Ver Del Pol-Duffing系统的非线性动力学行为分析

Nonlinear dynamic behavior of a fractional-order ver del pol-duffing system

  • 推荐 CAJ下载
  • PDF下载
  • 不支持迅雷等下载工具,请取消加速工具后下载。

【作者】 李媛萍张卫

【Author】 LI Yuan-ping1,2,ZHANG Wei3(1.Key Lab of Disaster Forecast and Control in Engineering,Ministry of Education,Jinan University,Guangzhou 510632,China;2.Department of Mechanics and Civil Engineering,Jinan University,Guangzhou 510632,China;3.Department of Electronic Engineering,Jinan University,Guangzhou 510632,China)

【机构】 重大工程灾害与控制教育部重点实验室(暨南大学)暨南大学力学与土木工程系暨南大学信息科学技术学院电子工程系

【摘要】 利用分数导数本构模型模拟系统的阻尼特性,构造了分数阶Ver Del Pol-Duffing系统,探讨了系统的动力特性随特征参数的变化规律。分析发现:该非线性振子具有与经典Ver Del Pol系统相似的自激振动特性,但其非线性强弱受分数导数阶值以及阻尼系数和非线性大位移系数的影响;在简谐荷载作用下,随着外荷载幅值的增大或阻尼系数的减小,系统由拟周期振动变为周期三振动最后发展为单周期振动;在地震荷载作用下,分数导数阶值的变化能改变系统的输出能量。

【Abstract】 A fractional-order Ver Del Pol-Duffing system,a fractional derivative model was introduced to simulate the system’s damping characteristics,was proposed.The numerical computation scheme of fractional derivative was deduced.The dynamic characteristics influenced by the feature parameters under different external loads were investigated.The results showed that this nonlinear system has the same self-excited vibration characteristics as those of the classic Ver Del Pol system,the q-order derivative has a large impact upon the system dynamic behavior;on the other hand,as expected,the higher the values of damping coefficient and the nonlinear displacement coefficient,the more nonlinear the system becomes;under harmonic load,with increase in amplitude or decrease in damping coefficient,the system motion changes from quasi periodic motion to period-three vibration until to single period vibration;under seismic load,the q-order derivative has a large impact upon the output energy.

【基金】 国家自然科学基金10872079
  • 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,2011年07期
  • 【分类号】TH113
  • 【被引频次】2
  • 【下载频次】185
节点文献中: 

本文链接的文献网络图示:

本文的引文网络