Abstract: Based on the stability characteristics of surrounding rock of deep roadway, the forming mechanism and stable mechanics model of crack plate structure are studied. With the application of cusp catastrophe model on nonlinear stable structure, the instability property of crack plate structure is analysized and the necessary and sufficient conditions under two different cases is put forward. The study proves that the catastrophe theory can effectively predict the dangerousness of slough roadway rock burst. By reinforcing surrounding rock on the top and bottom corner, the stiffness of surrounding rock is increased and its anti-buckling capacity is also enhanced, therefore rock-burst accident in spalling- type coal mine tunnel can be effectively prevented.

Key words: layered crack structure of the surrounding rock, stability, cusp catastrophe model, rock-burst