The global bifurcations and multi-pulse chaotic dynamics for a nonlinear vibration absorber are studied in the case of one-to-one internal resonance using the energy-phase method.
利用能量-相位法分析了1:1内共振条件下非线性振动减震器的全局分叉和多脉冲混沌动力学。
参考来源 - 高维非线性系统的全局分叉和多脉冲混沌动力学的研究及应用Applying the normal form method of gyroscopic systems, the normal form of equations of motion with 0:1 internal resonance and second mode resonance are obtained.
应用陀螺系统的正规型推导方法,通过一系列的变换得到了系统在0:1内共振与支承激励频率等于第二阶固有频率时的正规型方程,推导出把无摄动正规型方程变换为哈密顿方程的条件。
参考来源 - 输流管道强迫振动的非线性动力学特性分析The vibration induced by dry friction is a very prevalent phenomenon in the engineering fields. Emphases on the internal resonant activities, the chatter of a cutting machine is descussedin this thesis using the analyse method of nonlinear dynamics.
干摩擦引起的振动问题是工程界极为普遍的现象，本文针对机床切削加工过程中存在的颤振问题，利用非线性动力学，着重讨论了机床系统的内共振现象。
参考来源 - 机床切削颤振的非线性振动研究·2,447,543篇论文数据，部分数据来源于NoteExpress
对圆弧拱面内自由振动的频率和非线性内共振现象进行了研究。
The in-plane free vibration frequencies and nonlinear internal resonance of circular arches were studied.
本文分析了轴向力和支承运动作用下梁的参数共振和内共振问题。
The parametric resonances and internal resonances of beams with axial force and supporting motion have been investigated.
本文探讨了两自由度系统在1：1内共振条件下的动力学演化过程。
The dynamics of a two-degree-of-freedom system with 1:1 internal resonance is discussed in this paper.
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