Abstract: In order to investigate the application of complex eigenvalue analysis (CEA) and dynamic transient analysis (DTA) on brake squeal prediction, both CEA and DTA are applied to predict the squeal instability of a disc brake system. The investigation is focused on the comparison of computational efficiencies, analysis characteristics and analysis results. The investigation results show that both methods are available to predict the potential brake squeal at about 7.5 kHz of the investigated disc brake, but the number of unstable frequencies predicted by CEA is larger than that predicted by DTA. Nevertheless, the CEA is far more efficient than DTA on squeal instability analysis. Furthermore, all the system eigenvalues and the unstable modes can be obtained by performing CEA on one run, while the system vibration accelerations (velocities or displacements), contact forces and contact areas can be calculated by carrying out DTA. The investigation results also show that friction coefficient has great influence on system stability, and the squeal instability increases with the increase of friction coefficient.

Key words: Complex eigenvalue analysis; Dynamic transient analysis; Brake squeal; Instability

摘要： 为探讨复特征值分析（CEA）和瞬态动力学分析（TDA）在制动尖叫研究中的应用， 将两种方法分别应用于同一汽车盘式制动器的尖叫不稳定性分析中，对其分析效率、分析特 点和分析结果开展了对比研究。结果表明，两种方法均能对某制动器系统 7.5 kHz 附近的潜在 制动尖叫进行有效预测，但 CEA 预测的尖叫频率数目多于 TDA；CEA 的计算效率远高于 TDA；CEA 可求解系统的不稳定特征值及不稳定模态，而 TDA 则可求解系统的振动加速度 （速度或位移）、接触力和接触面积等；摩擦因数对系统的稳定性有显著影响，摩擦因数越大， 尖叫不稳定性越突出。

关键词: 复特征值分析；瞬态动力学分析；制动尖叫；不稳定性