一引言叶片断裂是汽轮机和压气机运行中经常遇到的重大问题,而造成这种故障又往往是叶片共振所引起的。因此,在叶片设计、制造和使用过程中,清楚地了解叶片共振频率,把握其共振振型,无疑是十分必要的。过去,研究叶片振动一般采用砂型法。显然,砂 I. INTRODUCTION Blade breakage is a major problem often encountered in the operation of steam turbines and compressors, and this failure is often caused by blade resonance. Therefore, in the blade design, manufacture and use of the process, a clear understanding of blade resonance frequency, to grasp the resonance mode, no doubt is very necessary. In the past, the study of blade vibration generally use the sand method. Obviously, sand