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针对在非刚性加载条件下岩石失稳破裂过程中变形突跳的特性，根据时间的不可逆性，研究了岩石试样在普通试验机下的变形规律及突跳特性，得到了与尖点突变模式相似的突变机构。再利用突变理论中尖点突变模型研究由试验机和岩石试样组成的力学系统的失稳机制，结果表明：两者得到的岩石变形突变量非常相似，且具有同一变化趋势。最后用ＨＰ７０９０绘图测试系统测出了岩石试样在失稳破裂时荷载、位移的突跳特征，验证了突变理论和变形理论分析应用于岩石失稳破裂的可靠性
Aiming at the characteristics of deformation and kicking during rock instability and rupture under non-rigid loading conditions, according to the irreversibility of time, the deformation and kicking characteristics of rock samples under normal testing machine were studied. A similar mutation mechanism. The catastrophic mechanism of the mechanical system composed of the test machine and the rock specimen is studied by using the catastrophe model in the catastrophe theory. The results show that the amount of the catastrophic catastrophe of the rock deformation is very similar and has the same trend. Finally, with the HP7090 plotting test system, the sudden load characteristics and the sudden jump characteristics of the rock samples during instability and rupture are measured. The reliability of the rock theory is verified by the catastrophe theory and deformation theory.