非线性动力学系统中由拟周期运动走向混沌的道路在理论上已为人们所公认。
The route of transition from quasi-periodicity to chaotic motion in nonlinear dynamical systems has been well accepted theoretically.
裂纹转子轴刚度变化对油膜失稳点及油膜失稳之后转子的运动影响不大,转子系统作拟周期运动。
Stiffness change has little effect on the critical instability and motion of the cracked-rotor, and the system motion is quasi-period motion.
分析表明,系统除了具有各种形式的周期运动、拟周期运动外,还具有丰富的混沌运动与分叉现象。
The equations are calculated numerically and the results are analyzed. The results reveal that the system possesses varied chaotic motions and bifurcation phenome…
研究结果发现,组合共振区域内发生两种不同的拟周期运动和组合周期运动,而且第一振型次谐波共振曲线延伸到组合共振区域。
The results obtained show that several motions may occur in the region of combination resonance, including two kinds of quasi-periodic vibrations and combined periodic motion.
非线性系统的长期规则运动除了平衡点和周期解以外,概周期解,或有时表现为拟周期解也是一种长期规则运动。
Besides the equilibrium and periodic solution, the almost periodic solution, which sometimes appears as quasi-periodic solution, is also a long term regular motion of nonlinear system.
当系统发生粘滑运动时,系统响应随激励速度、系统刚度及阻尼的变化而呈周期、拟周期及混沌运动交替变化的形式。
When system is in stick-slip motion, the system response can be periodic, quasi-periodic and chaos with the change of pulling velocities, system stiffness and viscous.
由结果发现:响应进入混沌的道路有拟周期环面破裂、周期3运动失稳和阵发性混沌进入混沌三条。
The response results show that there are three ways leading to chaos: quasi-periodic bifurcation, intermittent bifurcation and unstable period-3 motion.
转子转速与不平衡量被用来作为控制参数以研究进入和离开混沌区域的各种路径以及系统的各种形式的周期、拟周期与混沌运动。
Rotating speed and unbalance are used as control parameters to investigate routes to and out of chaos, and various forms of periodic, quasiperiodic and chaotic vibrations of the system.
在超临界转速区,系统响应以混沌、周期分频和拟周期为主要运动形式。
But the main responses are chaotic, periodical and quasi-periodical motions in supercritical speed range.
在超临界转速区,系统响应以混沌、周期分频和拟周期为主要运动形式。
But the main responses are chaotic, periodical and quasi-periodical motions in supercritical speed range.
应用推荐