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·2,447,543篇论文数据，部分数据来源于NoteExpress
As internal resonance is insufficient detuning, response curves demonstrate soft characteristics;
在内共振欠调谐时，系统的频响曲线呈软特性；
The dynamics of a two-degree-of-freedom system with 1:1 internal resonance is discussed in this paper.
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 in-plane free vibration frequencies and nonlinear internal resonance of circular arches were studied.
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。
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