时变参数下非线性扭振系统的Hopf分岔研究
- 文件大小:272.39KB
- 浏览次数:
- 发布时间:2014-03-26
本资料包含pdf文件1个,下载需要1积分
建立了一类含时变刚度和非线性阻尼的两自由度非线性扭振系统动力学方程,利用多尺度方法推导出了系统的平均方程。根据Hopf分岔理论分析了系统稳定性,给出了系统发生Hopf分岔的充要条件及系统周期运动稳定性的判别方法,分析了主共振情况下超临界Hopf分岔和亚临界Hopf分岔对系统振荡的影响。最后通过数值仿真验证了结论的正确性,对确保该类扭振系统的稳定运行有一定指导意义。 The nonlinear dynamic equation of torsional vibration system with two degrees of freedom is established including the time-varying stiffness and nonlinear damping. The average equation of system is deduced with the aid of multi-scale time method. Besides, according to Hopfbifurcation theory, the stability of system is analyzed, the necessary and sufficient condition of Hopf bifurcation and the judgment method of periodic motion's stability are given, and the influence ofsupercritical and subcritical Hopf bifurcation on vibration of system is analyzed under the condition of primary resonance. Last, the numerical simulation verifies the results. A significant contribution of this study is to ensure smooth running of this kind of torsional vibration system.
- 1高等级公路监理数据仓库
- 2DB41/T 1769-2019 代料香菇秋栽生产技术规程
- 3电厂灰场及灰场道路工程施工设计方案
- 4301放样下料工艺
- 5钢肋点支撑节点 (1)
- 6百瑞住宅小区鸟瞰设计效果图
- 7DB41/T 1092-2015 商城炖菜烹饪技艺 鲇鱼山砂锅鱼
- 8预应力工程全套资料
- 9绘制角接触球轴承(7210C)
- 10浙江省杭州市2012年建筑安装工程竣工档案移交书
- 11DB23/T 2375-2019 马铃薯抗晚疫病田间鉴定技术规范
- 12CB 714-1968 集散式播风器
- 13托辊旋转阻力测试仪使用说明书
- 14135mw热力系统图q.dwg
- 15粤10J/T215 SGK屋面节能隔热板建筑构造