不同激励频率比下复合模态振荡的结构特性分析
发布时间：2018-11-11 13:00
【摘要】：研究多频激励下不同激励频率比时快慢耦合系统的各种复合模态振荡的动力特性及其产生机制.以广义BVP(Bonhoffer-van der Pol)耦合电路为例,通过引入两个电压源控制的电路模块,建立了具有双周期激励的五阶动力模型.选定适当的参数,使得两个激励频率均远小于系统的固有频率,以此考察不同激励频率比下系统的快慢动力学行为.将两个外激励项转化为一个慢变量表达形式,从而将系统分为快慢耦合两子系统.分析了快子系统的平衡点及其分岔条件,探讨了不同激励频率比对复合模态振荡结构的影响,得出系统可能产生原点中心对称,轴对称和非对称的复合模态振荡.给出了系统在6组激励频率下的不同复合模态振荡行为,并进一步揭示了其相应的产生机理.
[Abstract]:The dynamic characteristics and generation mechanism of various complex mode oscillations of fast-slow coupling systems with different excitation frequency ratios under multi-frequency excitation are studied. Taking the generalized BVP (Bonhoffer-van der Pol) coupling circuit as an example, a five-order dynamic model with double periodic excitation is established by introducing two voltage source control circuit modules. The proper parameters are chosen so that the two excitation frequencies are far less than the natural frequency of the system, so as to investigate the dynamic behavior of the system under different excitation frequency ratios. Two external excitation terms are transformed into a slow variable expression form, and the system is divided into two subsystems of fast and slow coupling. The equilibrium point and bifurcation conditions of the fast subsystem are analyzed. The influence of different excitation frequency ratios on the complex mode oscillation structure is discussed. It is concluded that the system may produce complex mode oscillation with centrosymmetric axisymmetric and asymmetric origin. The oscillatory behavior of different complex modes of the system at six excitation frequencies is given, and the corresponding mechanism is revealed.
【作者单位】： 江苏大学土木工程与力学学院;
【基金】：国家自然科学基金(批准号:21276115,11572141)资助项目
【分类号】：O175
，
本文编号：2324914
[Abstract]:The dynamic characteristics and generation mechanism of various complex mode oscillations of fast-slow coupling systems with different excitation frequency ratios under multi-frequency excitation are studied. Taking the generalized BVP (Bonhoffer-van der Pol) coupling circuit as an example, a five-order dynamic model with double periodic excitation is established by introducing two voltage source control circuit modules. The proper parameters are chosen so that the two excitation frequencies are far less than the natural frequency of the system, so as to investigate the dynamic behavior of the system under different excitation frequency ratios. Two external excitation terms are transformed into a slow variable expression form, and the system is divided into two subsystems of fast and slow coupling. The equilibrium point and bifurcation conditions of the fast subsystem are analyzed. The influence of different excitation frequency ratios on the complex mode oscillation structure is discussed. It is concluded that the system may produce complex mode oscillation with centrosymmetric axisymmetric and asymmetric origin. The oscillatory behavior of different complex modes of the system at six excitation frequencies is given, and the corresponding mechanism is revealed.
【作者单位】： 江苏大学土木工程与力学学院;
【基金】：国家自然科学基金(批准号:21276115,11572141)资助项目
【分类号】：O175
，
本文编号：2324914
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