The stability of cracky roof system is analyzed by catastrophic theory and its instability model belongs to cusp catastrophic model of catastrophic theory.

• 对裂纹顶板系统的稳定性运用突变理论分析,其失稳模式可归结为突变理论中的尖点突变模型,并由该模型的分叉集方程导得顶板大面积冒落的临界条件。