In this paper non-homogeneous characteristics and special fluctuation structures of gas-solid slugging fluidized bed is analysed. Based on analysis of fluctuation mechanism

a method of discrete analysis of fluctustion dynamics is proposed and a random model of multivariant vibration is set up for slugging bed. By combining spectual and statistic analysis

the model solution is obtained in the form of matrix equation GΔjΔk (ω) = H * (ω)Gδjδk(ω)HT(ω) It can be used to express the vibration structure and the power spectrum of pressure fluctuations in slugging bed.