高速动车组激励频率与固有频率关系对系统共振影响研究

The influence of excitation and natural frequency relationship on resonance in high-speed train

  • 摘要: 外界激励频率接近系统固有频率时,系统将发生共振并对车辆运行安全性和关键部件结构疲劳产生重要影响。为此需要深入分析这两种频率关系对车辆系统振动的影响。本文构建了包含车体、构架和轮对的车辆系统动力学模型,基于复模态分析法获得了系统的固有频率和主振型。构造不同波长谐波激励作为模型激扰输入,采用数值方法获得了系统在不同参数下的振动响应,探究了不同阻尼、刚度参数下,共振峰值与频率比的变化规律,解释了激励频率高于固有频率时系统振动加速度达到峰值的原因。结果表明,当一、二系阻尼由60 kN.s.m−1增至100 kN.s.m−1时,振动幅值降低了39%,共振带宽由2.42 Hz 增至5.69 Hz;构架加速度的共振频率比随着阻尼增大由1.04升至1.13,随着刚度增大由1.13降至1.06;建议频率比小于0.87或大于1.42以抑制转向架构架共振。利用部件间主振型模长的比值可以判断不同系统参数下部件间相对振动峰值的变化。研究结果对高速动车组悬挂参数的设计以及提出结构共振抑制方法等具有重要的参考意义。

     

    Abstract: When the external excitation frequency approaches the natural frequency of the system, resonance occurs, significantly affecting vehicle operational safety and causing structural fatigue in key components. To address this, an in-depth analysis of the relationship between these frequencies and their influence on vehicle system vibrations is required. This study constructs a dynamic model of the vehicle system, including the car body, bogie frame, and wheelset, and obtains the system’s natural frequencies and primary mode shapes using the complex modal analysis method. Harmonic excitations with different wavelengths are designed as input disturbances for the model, and numerical methods are employed to calculate the system’s vibration response under various parameter conditions. The variation patterns of resonance peaks and frequency ratios under different damping and stiffness parameters are explored. The reasons for peak vibration acceleration when the excitation frequency exceeds the natural frequency are also explained. Results show that when the primary and secondary damping increase from 60 kN.s.m−1 to 100 kN.s.m−1, the vibration amplitude decreases by 39%, and the resonance bandwidth expands from 2.42 Hz to 5.69 Hz. The resonance frequency ratio of bogie frame acceleration increases from 1.04 to 1.13 with increasing damping and decreases from 1.13 to 1.06 with increasing stiffness. It is recommended that the frequency ratio be maintained below 0.87 or above 1.42 to suppress bogie frame resonance. The ratio of mode shape magnitudes between components can be used to evaluate changes in relative vibration peaks under different system parameters. These findings provide significant insights for the design of high-speed train suspension parameters and the development of structural resonance suppression methods.

     

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