In this paper, a catastrophe model of sine flat arch jumping bend is established.
文中建立的正弦形扁拱跳跃屈曲突变模型可以清晰地阐明扁拱失稳的物理意义。
The prediction is conducted with the grey catastrophe model through the abrupt date set composed of abnormality times.
根据异常时刻组成的灾变日期集用灰色灾变模型进行预测。
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。
According to the catastrophe rule of pest in agriculture the qualitative and quantitative catastrophe model was set up and the sudden change region was determined.
在农业病虫害突变规律的研究基础上，建立了定性与定量的尖角突变模型，确定了各病虫的突变区域。
According to the specific conditions of semi-confined aquifer in the urban area of Changchun City, the catastrophe model was selected for vulnerability assessment.
根据长春城区半承压含水层的具体状况，用突变理论进行脆弱性评价。
The equilibrium equation of surrounding rock mining fault system is established. The fault destablizing process with shear failure pattern belongs to fold catastrophe model.
建立了矿井围岩-断层系统的准静态形变平衡方程，将呈剪切破裂形式的断层失稳过程归结为折迭突变模型。
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。
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。
A cusp catastrophe model of key points horizontal displacement and reduction coefficient is built by using the strength reduction finite element method to evaluate the slope stability.
采用有限元强度折减法进行边坡稳定分析，建立边坡内最大水平方向位移与折减系数尖点突变模型，并以此作为边坡是否失稳的判断标准。
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。
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。
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