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应用弹性系统稳定性理论对断裂顶板－锚拉支架系统建立了动力系统稳定性分析的力学模型．对该模型分别考虑因块ＡＢ（或ＢＣ）沿对角线变形和支座处的水平变形引起的稳定性进行了求解；讨论了解曲线即平衡路径的稳定性及系统的静态分叉特征；进而分析了断裂顶板结构的运动失稳机制，并给出了该系统的运动稳定条件，证实了借助当代非线性科学研究岩土工程问题的必要性和理论意义．
Based on the theory of elastic system stability, a dynamic model for the stability analysis of the dynamic system is established for the roof-anchor system. The stability of the model due to the diagonal deformation of the block AB (or BC) and the horizontal deformation at the support is considered respectively. The stability of the equilibrium path and the static bifurcation characteristics of the system are discussed. The mechanism of the instability of the roof structure is analyzed. The motion stability of the system is also given. The necessity and theoretical significance of the geotechnical engineering research by means of the contemporary nonlinear science are confirmed.