本文简要介绍突变理论的尖点突变模型。
Point model of catastrophic theory is introduced in this paper.
采用突变理论建立了变厚度环板系统的突变模型。
The catastrophic model of annular plates with varying thickness is established.
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。
On the basis of the thin plate theory, the cusp catastrophe model of water outburst at vertical shaft floor could be set.
在此基础上，运用突变理论，建立一个成绩增长的突变模型。
On this basis, by using the sudden change theory, the sudden change model of performance improvement is set up.
作者不仅得到弹性拱振动失稳的突变模型，而且给出发生失稳的条件。
The authors not only obtain a catastrophic model of vibrational buckling of elastic arches, but also give the critical condition of losing stability.
建立的尖点突变模型揭示了浅层滑坡有时发生在强降雨过后的滞后原因。
The reason why shallow landslide comes down sometimes after intensive rainfall is revealed through the established cusp-catastrophic model of shallow landslide.
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。
In this paper, a catastrophe model of sine flat arch jumping bend is established.
对事故过程突变模型的建立和突变分析研究现状进行了综述，并展望其发展趋势。
In this paper, up - to - date developments of catastrophical model and catastrophe analysis of accident - process are reviewed, and their future developments are prospected.
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。
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.
理论上有待于进一步弄清楚结构突变的内在机理，实际运用中结构突变模型有待进一步完善。
The theory needs further clarification of the inside mechanism and the perfection of structure change model.
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 catastrophe rule of pest in agriculture the qualitative and quantitative catastrophe model was set up and the sudden change region was determined.
本文主要运用结构系统概念，建立地下水(水位、水化学)异常量、干扰量与地震之间的二维突变模型。
Based mainly on the structural system concept, a 2-d catastrophic model of groundwater (level and geochemistry) anomaly, interference and earthquake has been established in this paper.
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。
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.
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。
The equilibrium equation of surrounding rock mining fault system is established. The fault destablizing process with shear failure pattern belongs to fold catastrophe model.
以自动化监测数据为评价依据，对渗透安全采用了确定性评价模型和概率评价模型，对滑坡采用了突变模型。
Data automatically measured is used to build the evaluating models, including a deterministic model and a reliability model for seepage, and a cusp catastrophic model for slope failure.
运用突变理论，我们首先对歧义图形的变化规律进行了理论分析，归纳出一类歧义图形的突变模型及其性状。
By applying the catastrophe theory, we analyse the morphogenesis laws of ambiguous pictures and conclude the catastrophe models from a kind of ambiguous pictures.
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。
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.
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.
该模型的分析结果与实际情况一致，利用这一突变模型可以确定防治火灾的各种有效措施，确保矿山安全生产得以顺利进行。
According to the model many efficient measures to prevent and eliminate mine fire can be chosen so that regular mining production may proceed in safety state.
本文从突变理论入手，建立了顺层边坡的尖角型突变模型，并推导出了边坡系统的总势能表达式以及这类边坡失稳的临界条件。
A cusp catastrophic model is founded on the stability of an inclined bedding slope from catastrophic theory, and a formula of the total potential energy and a criterion condition are derived.
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。
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.
我们首先得做一个体外细胞培养实验，在动物模型中证明它的存在，然后开发出一种能影响突变基因产物的分子或蛋白质。
We have to do in-vitro cell culture experiments first, prove it in an animal model, and then develop a molecule or protein which will affect the mutated gene product.
在小鼠模型中，GNA11突变诱导了自发转移性肿瘤，激活了丝裂原活化蛋白激酶途径。
Mutations in GNA11 induced spontaneously metastasizing tumors in a mouse model and activated the mitogen-activated protein kinase pathway.
上述试验是人工将癌基因导入肿瘤细胞株，另外的实验是在具有EGFR突变的肺癌肿瘤模型上进行。
Because the oncogenes had been artificially introduced into those cell lines, the researchers then tested their model in human lung cancer cells with the EGFR mutation.
突变理论为建立系统的复杂动力学模型提供了一个清晰的框架。
Catastrophe theory provides a coherent framework for modelling the complex dynamics of systems.
根据这一模型，应用尖点突变原理分析了承压水底板关键层失稳突水的力学机制。
According to the model, applying the cusp catastrophic theory the mechanics mechanism of water inrush is analyzed from key stratum of floor.
基于事物“安全流变-突变”规律，建立理论模型，并分析和描述事物的安全演化过程。
Based on the Law of safety Rheology and Mutation, the mathematical model are put forward, which analyse and describe the evolution process of events safety.
基于事物“安全流变-突变”规律，建立理论模型，并分析和描述事物的安全演化过程。
Based on the Law of safety Rheology and Mutation, the mathematical model are put forward, which analyse and describe the evolution process of events safety.
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