深基坑边坡抗滑桩加固的最小势能分析方法研究
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摘要
目前深基坑工程中应用较多的边坡稳定分析方法仍然是极限平衡方法,该方法应用较广,但也存在不足之处。因此,边坡的稳定性分析方法仍在发展中,最小势能分析方法是一种最近发展起来的边坡的边坡稳定性分析方法。依据稳定平衡体系势能最小的原理,从整个边坡的势能变化求得一个满足势能最小的位移,据此可直接求出滑面上的法向应力分布,再利用平衡条件和摩尔-库仑强度准则便可直接得到安全系数。此方法概念简单明了,与传统极限平衡法的误差在允许范围内,结果可信。本文在前人研究工作的基础上,进一步考虑了抗滑桩加固边坡时的最小势能分析方法。
论文简单介绍了Mauldon和Ureta提出的岩石棱柱体模型、李小强提出的二维圆柱体模型及其计算方法,并介绍了考虑剪切势能锚杆加固措施的边坡稳定分析的方法。在此基础上,本文做了以下工作:
1、进一步考虑了滑移面为任意形状时的最小势能分析方法,建立了相关安全系数的计算公式。
2、分析了深层搅拌桩(抗滑桩)基坑工程常见加固措施对滑移体势能的影响,建立了抗滑桩最小势能分析方法的模型,推导了计算理论公式。
3、通过对典型工程算例的计算,得出该方法的计算结果与其他常用方法计算结果比较接近,以此拓展了最小势能法的运用范围。
本文在进行实际工程验算时,将未考虑加固措施的最小势能方法和常见的极限平衡法做了详细的对比,显示了该法的可行性。
最后把最小势能方法应用到上海市新天地广场基坑边坡工程的治理加固分析中,展现了最小势能方法的工程应用前景。
At present, the more application of slope stability analysis method in deep foundation pit is still the limit equilibrium method. This method applies widely, but there are also inadequate. Therefore, slope stability analysis methods are still developing, the minimum potential energy analysis is a recent development of the slope stability analysis. And then based on the principle that potential is the minimum of the balance and stability system, it obtains a displacement whose potential is the minimum from potential changes of whole slope, which makes a normal stress distribution of slip surface obtained directly. Finally, using the balance conditions and Moore-Coulomb strength criterion, it can get the safety factor directly. The concept of this method is simple and clear, and error compared to the traditional limit equilibrium method is in the accepted range, which makes the results credible. Based on the previous research work, it further considers minimum potential method of reinforcement of slope with anti-slide pile.
First of all, this paper presents a simple introduction of the rock prism model proposed by Mauldon and Ureta and the two-dimensional model of a cylinder proposed by Li Xiaoqiang. Moreover, it proposes a slope stability analysis method considering shear potential bolt reinforcement measures. On the basis, this paper does the following work:
1、Further considering minimum potential method of slide plane for any shape, it constructs the calculation formula of related safety factor.
2、It analyses impact which common reinforcement measures of deep mixing pile (anti-slide pile) of foundation pit engineering on potential of slip mass, and constructs improved model of minimum potential method. Then, it deduces the calculation theoretical formulas.
3、Numerical construction examples show that results of the method are rather close to the calculation results with other commonly used method, which expands the application scope of traditional minimum potential method.
Checking the actual construction in this paper, it provides a detailed comparison to the minimum potential method without consideration of reinforcement measures and limit equilibrium method, which shows the feasibility of the method.
Finally the minimum potential energy methods applied to the analysis of governance reinforcement of Shanghai Xintiandi Square's foundation pit slope project shows engineering applications of minimum potential method.
论文简单介绍了Mauldon和Ureta提出的岩石棱柱体模型、李小强提出的二维圆柱体模型及其计算方法,并介绍了考虑剪切势能锚杆加固措施的边坡稳定分析的方法。在此基础上,本文做了以下工作:
1、进一步考虑了滑移面为任意形状时的最小势能分析方法,建立了相关安全系数的计算公式。
2、分析了深层搅拌桩(抗滑桩)基坑工程常见加固措施对滑移体势能的影响,建立了抗滑桩最小势能分析方法的模型,推导了计算理论公式。
3、通过对典型工程算例的计算,得出该方法的计算结果与其他常用方法计算结果比较接近,以此拓展了最小势能法的运用范围。
本文在进行实际工程验算时,将未考虑加固措施的最小势能方法和常见的极限平衡法做了详细的对比,显示了该法的可行性。
最后把最小势能方法应用到上海市新天地广场基坑边坡工程的治理加固分析中,展现了最小势能方法的工程应用前景。
At present, the more application of slope stability analysis method in deep foundation pit is still the limit equilibrium method. This method applies widely, but there are also inadequate. Therefore, slope stability analysis methods are still developing, the minimum potential energy analysis is a recent development of the slope stability analysis. And then based on the principle that potential is the minimum of the balance and stability system, it obtains a displacement whose potential is the minimum from potential changes of whole slope, which makes a normal stress distribution of slip surface obtained directly. Finally, using the balance conditions and Moore-Coulomb strength criterion, it can get the safety factor directly. The concept of this method is simple and clear, and error compared to the traditional limit equilibrium method is in the accepted range, which makes the results credible. Based on the previous research work, it further considers minimum potential method of reinforcement of slope with anti-slide pile.
First of all, this paper presents a simple introduction of the rock prism model proposed by Mauldon and Ureta and the two-dimensional model of a cylinder proposed by Li Xiaoqiang. Moreover, it proposes a slope stability analysis method considering shear potential bolt reinforcement measures. On the basis, this paper does the following work:
1、Further considering minimum potential method of slide plane for any shape, it constructs the calculation formula of related safety factor.
2、It analyses impact which common reinforcement measures of deep mixing pile (anti-slide pile) of foundation pit engineering on potential of slip mass, and constructs improved model of minimum potential method. Then, it deduces the calculation theoretical formulas.
3、Numerical construction examples show that results of the method are rather close to the calculation results with other commonly used method, which expands the application scope of traditional minimum potential method.
Checking the actual construction in this paper, it provides a detailed comparison to the minimum potential method without consideration of reinforcement measures and limit equilibrium method, which shows the feasibility of the method.
Finally the minimum potential energy methods applied to the analysis of governance reinforcement of Shanghai Xintiandi Square's foundation pit slope project shows engineering applications of minimum potential method.
引文
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