In this paper, the rotating machinery at high speed is studied . there are discussed about numerical calculating methods for non-linear dynamical system, the rotor system radial impact and rubbing dynamics behavior analysis having the nonlinear rigidity on the unsteady and non-linear oil film, the rotor system dynamics behavior analysis with bending-torsional-pendular coupling vibrations, application of wavelet, fractal and network in fault diagnosis . the main works in this paper are as follows : ( 1 ) 本文以高速旋轉機械為主要研究對象,系統(tǒng)、深入地研究了非線性動力學系統(tǒng)的數(shù)值計算方法、具有非線性剛度的轉子系統(tǒng)在非穩(wěn)態(tài)非線性油膜力作用下的徑向碰摩動力學行為、轉子彎扭擺耦合振動的動力學分析、小波和分形理論及人工神經(jīng)網(wǎng)絡在故障診斷中的應用問題。