论文部分内容阅读
分析了当外激励频率等于吸振器的固有频率且是曲轴的固有频率的2倍的条件下,系统发生1:2内共振时的吸振器的分岔特性。首先由复规范形法得到了平均方程,结果表明曲轴的零点不是系统的唯一解,系统还可能有其他的解。再由奇异性理论分析了当曲轴的振幅为零时吸振器系统的分岔特性。得到了吸振器系统的转迁集和转迁集上相应的分岔图。对吸振器系统分岔行为研究,有助于内燃机曲轴的吸振器参数的优化设计。
The bifurcation characteristics of the vibration absorber with 1: 2 internal resonance are analyzed under the condition that the external excitation frequency is equal to the natural frequency of the vibration absorber and twice the natural frequency of the crankshaft. First, the average equation is obtained from the complex normal form. The results show that the zero point of the crankshaft is not the only solution to the system and the system may have other solutions. The singularity theory is also used to analyze the bifurcation characteristics of the vibration absorber system when the amplitude of the crankshaft is zero. The corresponding bifurcation diagram of the vibration absorber system is obtained. Research on the bifurcation behavior of the vibration absorber system is helpful to the optimization design of the vibration absorber parameters of the crankshaft of the internal combustion engine.