The critical load and critical stress were deduced by means of energy principle and catastrophe theory based on these conditions, and the buckling model of pillar was presented.
在此基础上，应用能量原理及突变理论推导矿柱失稳的临界载荷及临界应力，提出矿柱发生失稳的屈曲模型。
Slope slide is a catastrophe. A model of slope stability is developed based on catastrophe theory and analyses of slop stability using the model are conducted with some examples.
针对边坡的滑移是一灾变问题，应用灾变理论建立了边坡稳定性的灾变模型，并结合实例，对边坡的稳定性进行了灾变分析。
Based on analyzing the mechanism of destabilization of crack in dam, the mutation model is established by use of catastrophe theory, and the criterion of the stability of crack is given.
在研究裂缝失稳机理及特征的基础上，应用突变理论，建立了裂缝的突变模型，并得出裂缝稳定性的判据。
Empirical analysis indicates that conclusion and data based on catastrophe model roughly consists with fitted results, which means the catastrophe theory is feasible in this field.
实证分析表明，用突变模型得出的结论与数据拟合得出的结果大体一致，这说明突变理论应用于此领域是可行的。
The catastrophe model of mine spontaneous fire is established by using the theory of cusp catastrophe, the important conclusions about preventing and controlling mine spontaneous fire are deduced.
运用尖点突变理论，建立了矿井自燃火灾的突变模型，最后得出了关于矿井自燃火灾防治方面具有重要意义的结论。
First, the fault casualty number and the year which comes with fault casualty catastrophe of a mine were forecasted by using Grey Theory GM (1, 1) model.
首先用灰色理论GM(1,1)模型预测了某矿伤亡事故数和伤亡事故的突变年份。
On the basis of the thin plate theory, the cusp catastrophe model of water outburst at vertical shaft floor could be set.
在薄板理论的基础上，建立了立井井筒底板突水的突变模型。
In view of the mutability in deformation and failure of the rock mass, and combined with the theory of the material mechanics, a cusp catastrophe model of rock beam-pillar was build.
针对岩体变形破坏具有的突变性，结合材料力学理论，建立了岩梁-矿柱的尖点突变模型。
The engineering example indicates that the comprehensive evaluation model based on catastrophe theory can accurately judge the security situation of tailing pond.
通过工程实例表明，基于突变理论的尾矿库综合评价模型能准确地评判出尾矿库的安全状况。
An abnormality diagnosis model was developed for hydraulic concrete structures operating with cracks occurring in their bodies by use of the wavelet analysis and cusp catastrophe theory.
对于带缝运行的水工混凝土结构，用小波分析和突变理论相结合的方法，建立裂缝转异诊断模型。
An abnormality diagnosis model was developed for hydraulic concrete structures operating with cracks occurring in their bodies by use of the wavelet analysis and cusp catastrophe theory.
对于带缝运行的水工混凝土结构，用小波分析和突变理论相结合的方法，建立裂缝转异诊断模型。
应用推荐