Based on the lumped parameter model of a bladed disk with grouped blades, sensitivity of natural frequency and modal shape to random mistuning were analyzed by using Monte Carlo simulation method, and the connection between mistuning strength and sensitivity of vibration localization to random mistuning was also investigated. The simulation results show that natural frequency is insensitive to random mistuning, but in the closely spaced modal region, modal shape is much sensitive to random mistuning, and minor change of standard deviation of natural frequency reflects the sensitivity of blades modal localization to random mistuning. Furthermore, the sensitivity increases with increasing random mistuning strength, but it maintains at a relatively stable state when mistuning strength reaches to a high level.

bladed disk, vibration localization, grouped blade, random mistuning, Monte Carlo simulation

基于成组叶片-轮盘的集中参数模型，应用Monte Carlo Simulation统计分析方法，研究了系统的固有频率和模态振型对随机失谐的敏感性，分析了固有振动局部化对失谐的敏感性与失谐强度之间的关系。结果表明，对于具有成组叶片的叶盘系统，其固有频率对随机失谐不敏感，但在模态密集区内，各阶模态振型对随机失谐极为敏感，且固有频率标准差的微弱变化直接反映了叶片模态对随机失谐的敏感性;此外，固有振动局部化对失谐的敏感性会随着失谐强度的增大而增大，但当失谐量增加到一定程度后，敏感性会保持在一个相对稳定的水平。

叶盘系统, 振动局部化, 成组叶片, 随机失谐, Monte Carlo 仿真