滑塌式危岩尖点突变模型研究

Study on Cusp Catastrophe Model for Unstable Sliding Rock

通过建立滑塌式危岩地质力学模型,应用尖点突变理论综合考虑了影响危岩体稳定性的内外因素,并建立了尖点突变力学模型,分析了各因素对危岩体稳定性的影响,推导出危岩失稳崩塌的力学判据.经万州太白岩W12危岩体计算分析,比较了传统刚性极限平衡法的不足,验证了应用尖点突变理论分析各种复杂影响因素的危岩时,可得到比刚性极限平衡法更好的结果.

Through the establishment of geological mechanical model for unstable sliding rock,and applying of cusp catastrophe theory method,a cusp catastrophe mechanics model for unstable sliding rock is established overall considering the internal and external factors affecting the stability of unstable rock.With the analysis of the influence of various factors on the stability of unstable rock mass,the instability of collapse mechanics criterion of dangerous rock is deduced.Based on calculation and analysis of unstable rock mass W12,the deficiency of the traditional rigid limit equilibrium method is compared and pointed out.It is verified that the results obtained by cusp catastrophe theory is better than that by the rigid limit equilibrium method for unstable rock under various complex factors.