泰勒级数法在基坑稳定性验算中的应用研究

发布时间：2018-04-18 20:18

本文选题：基坑稳定性 + 泰勒级数法　；参考：《华南理工大学》2013年硕士论文

【摘要】：基坑稳定性验算是基坑设计计算的重要组成部分。长期以来，基坑稳定性验算采用的是安全系数法，这是一种定值方法，其缺陷是不能考虑岩土体性质的不确定性；然而，基于概率理论的可靠度方法，由于其理论计算较复杂，，不利于工程推广。通过泰勒级数法，可以把两种方法的优势集中起来，形成一种简化的基坑稳定可靠度分析方法。通过在大量的算例和陈家祠广场基坑项目实例应用该方法进行基坑稳定分析，证明其具有一定的实用和推广价值。本文的主要内容以及结论包括以下部分：（1）总结国内外岩土体不确定性和可靠度理论研究现状，对岩土工程的不确定性因素和特点做了简要介绍，并总结了常用的岩土体不确定性描述方法和可靠度计算方法，对各方法的优缺点进行了归纳。（2）通过分析泰勒级数法在地基沉降方面的应用，总结了泰勒级数法的一般形式和应用方法。针对泰勒级数法分析安全系数的问题，提出了具体的功能函数和分析步骤，并把该方法应用在边坡稳定分析中，验证了其可操作性。（3）基于《建筑基坑支护技术规程》（JGJ120-2012）规定的基坑稳定验算项目，研究将泰勒级数法应用到基坑稳定分析中的过程，通过在算例中的应用表明通过泰勒级数法可以考虑参数变异性对基坑稳定性的影响，并给出对应的失效概率。（4）将应用泰勒级数法分析基坑稳定的可靠度方法应用到实际工程中，结合陈家祠广场基坑的实际情况，给出了不同稳定分析项目的失效概率。其中，坑底隆起稳定的失效概率达0.73%。说明应用泰勒级数法可以很好地将安全系数法与可靠度方法结合起来，使基坑稳定分析更加符合实际工程情况。
[Abstract]:Checking calculation of foundation pit stability is an important part of foundation pit design calculation.For a long time, the method of safety factor is used to check the stability of foundation pit, which is a method of determining the value, and its defect is that the uncertainty of the nature of rock and soil can not be taken into account. However, the reliability method based on probability theory is more complicated because of its theoretical calculation.It is not good for engineering popularization.By Taylor series method, the advantages of the two methods can be combined to form a simplified reliability analysis method for foundation pit stability.The method is applied to the stability analysis of foundation pit in a large number of examples and Chen Jiaci Square foundation pit project. It is proved that the method has certain practical and popularizing value.The main contents and conclusions of this paper include the following parts:1) summarizing the present research situation of uncertainty and reliability theory of rock and soil at home and abroad, briefly introducing the uncertainty factors and characteristics of geotechnical engineering, and summarizing the commonly used methods of describing uncertainty and calculating reliability of rock and soil.The advantages and disadvantages of each method are summarized.2) by analyzing the application of Taylor series method in foundation settlement, the general form and application method of Taylor series method are summarized.Aiming at the problem of analyzing safety factor by Taylor series method, this paper puts forward the specific function function and analysis steps, and applies this method to slope stability analysis, and verifies its maneuverability.Based on the check and calculation project of foundation pit stability stipulated by "Technical Specification for supporting of Building Foundation Pit" (JGJ120-2012), the process of applying Taylor series method to stability analysis of foundation pit is studied.The application in the numerical example shows that the influence of parameter variation on the stability of foundation pit can be considered by Taylor series method, and the corresponding failure probability is given.(4) the reliability method of analyzing foundation pit stability by Taylor series method is applied to practical engineering. According to the actual situation of Chen Jiaci Square foundation pit, the failure probability of different stability analysis items is given.The failure probability of the stability of the bottom uplift is 0.73.It is shown that the safety factor method and the reliability method can be well combined by using Taylor series method, and the stability analysis of foundation pit can be more in line with the actual engineering situation.
【学位授予单位】：华南理工大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TU470

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