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视顺层边坡岩体自重的法向分量为结构的初始缺陷,应用初始后屈曲理论和尖点突变模型探讨了缺陷结构在临界状态下的屈曲性态,建立了边坡岩体结构的平衡稳定模态幅值方程,给出了边坡岩体结构分叉点附近的邻域及其稳定性判据。研究结果表明,表征结构初始缺陷的修正项与尖点突变模型中的剖分因子之间具有确定的关系;与理想化完善结构不同的是,顺层边坡岩体结构屈曲的临界值远大于其分叉点处的载荷值,是由其突变模型的分叉集确定的;只有考虑了边坡的实际缺陷,才可得出边坡岩体结构在真正临界意义上的临界值。
The normal component of self-weight of rock mass in smooth cistern is the initial defect of the structure. The initial post-buckling theory and cusp catastrophe model are used to investigate the buckling behavior of the defect in the critical state and to establish the balance of slope rock mass structure The stability modal amplitude equation gives the neighborhoods and stability criteria of the rock mass near the bifurcation. The results show that there is a definite relationship between the correction term of the initial defect of the structure and the subdivision factor in the cusp catastrophe model. The difference with idealized perfect structure is that the critical value of the buckling of rock mass is much larger than The load value at the bifurcation point is determined by the bifurcation set of its abrupt model. The critical value of the slope rock mass structure in the real critical sense can be obtained only by considering the actual defects of the slope.