• 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.

    非线性系统长期规则运动除了平衡点周期以外,概周期解,或有时表现周期解也是一种长期规则运动。

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  • 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.

    研究结果发现组合共振区域发生种不同周期运动组合周期运动,而且第一振型次谐波共振曲线延伸到组合共振区域。

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  • The rotating number is generally an irrational number and only in some special conditions is a rational one, from which it can be known that the motion of the system is quasi-periodic or periodic.

    在此基础上分析系统转动,发现转动数一般无理数,某些特定条件下存在有理旋转数,从而系统作准周期运动或者周期运动。

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  • The diagrams of bifurcation, sub-harmonic, quasi-periodic and chaotic motion with typical parameters are numerically created.

    数值计算得到了转子系统特定参数范围内的分叉,系统存在亚谐波概周期混沌等非协调运动

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  • The response results show that there are three ways leading to chaos: quasi-periodic bifurcation, intermittent bifurcation and unstable period-3 motion.

    结果发现:响应进入混沌道路周期环面破裂、周期3运动失稳阵发性混沌进入混沌三条。

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  • 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.

    系统发生粘滑运动时,系统响应随激励速度、系统刚度阻尼变化而呈周期周期及混沌运动交替变化的形式。

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  • The results show that the coupled bending-torsional vibration range increases and the motion changes from periodic motion to quasi-periodic motion as the mass eccentricity rises;

    结果表明随着质量偏心增加,弯耦合区的范围增大,系统运动周期运动变为概周期运动;

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  • It is indicated that besides periodic and quasi periodic vibrations the system shows different forms of chaotic motion and bifurcation phenomena. Chaotic motion and various related...

    分析表明系统具有各种形式周期周期振动以外,还具有丰富的混沌运动与分叉现象

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  • It is indicated that besides periodic and quasi periodic vibrations the system shows different forms of chaotic motion and bifurcation phenomena. Chaotic motion and various related...

    分析表明系统具有各种形式周期周期振动以外,还具有丰富的混沌运动与分叉现象

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