本文選題：基坑　切入點(diǎn)：可靠性理論　出處：《武漢理工大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：基坑穩(wěn)定性驗(yàn)算及變形驗(yàn)算的目的是對(duì)基坑支護(hù)設(shè)計(jì)方案的安全性做出評(píng)價(jià),避免由于設(shè)計(jì)不當(dāng)而造成事故。當(dāng)前,由于設(shè)計(jì)原因造成基坑事故的比例占30%~45%,說(shuō)明現(xiàn)有的基坑穩(wěn)定性及變形驗(yàn)算方法存在一定的缺陷。本文將可靠性理論運(yùn)用于基坑的穩(wěn)定性和變形驗(yàn)算中,充分考慮了土體或支護(hù)結(jié)構(gòu)等因素的變異性,對(duì)基坑穩(wěn)定可靠性和變形可靠性的計(jì)算方法進(jìn)行研究。主要的工作內(nèi)容及結(jié)論如下:(1)分析了可靠度的三種表述方式:可靠概率、失效概率、可靠指標(biāo);論述了不確定因素的三種處理方法:χ2檢驗(yàn)法、K-S檢驗(yàn)法、A2檢驗(yàn)法;總結(jié)了幾種常用的可靠度計(jì)算方法:一次二階矩法、蒙特卡洛法、隨機(jī)有限元法、優(yōu)化算法;闡述了體系可靠度的計(jì)算方法。(2)研究了基坑穩(wěn)定可靠性的計(jì)算方法:在極限平衡法的基礎(chǔ)上,將基坑的抗力效應(yīng)與荷載效應(yīng)的差值作為可靠性功能函數(shù)。由于不同形式支護(hù)結(jié)構(gòu)的受力不同,在考慮土層性質(zhì)的差異和受力分析的基礎(chǔ)上,分別建立了土釘墻支護(hù)結(jié)構(gòu)的整體穩(wěn)定性功能函數(shù)、抗滑移穩(wěn)定性功能函數(shù)、抗傾覆穩(wěn)定性功能函數(shù),懸臂式支護(hù)結(jié)構(gòu)的抗傾覆功能函數(shù),樁(墻)撐式支護(hù)結(jié)構(gòu)的抗傾覆功能函數(shù),重力式支護(hù)結(jié)構(gòu)的抗傾覆功能函數(shù)、抗滑移功能函數(shù);將各層土體的粘聚力和內(nèi)摩擦角作為隨機(jī)變量,根據(jù)功能函數(shù)的特點(diǎn),選擇改進(jìn)的一次二階矩法計(jì)算穩(wěn)定可靠度,并用MATLAB編制了通用的計(jì)算程序。(3)研究了基坑變形可靠性的計(jì)算方法:根據(jù)可靠性理論,提出將基坑的深層土體位移、坑底隆起及周邊沉降值的警戒值與相應(yīng)的實(shí)際最大變形值的差值作為可靠性功能函數(shù),功能函數(shù)大于零的概率即為可靠度。針對(duì)基坑的變形很難用顯式方程式表達(dá)出來(lái)的特點(diǎn),選擇隨機(jī)有限元法計(jì)算變形可靠度,將土體的粘聚力和內(nèi)摩擦角作為隨機(jī)變量,深層土體位移的最大值、坑底隆起的最大值、周邊沉降的最大值作為隨機(jī)輸出變量,研究了運(yùn)用ANSYS-PDS模塊計(jì)算基坑變形可靠度的方法。(4)將基于可靠性理論的基坑穩(wěn)定和變形評(píng)價(jià)方法應(yīng)用于某支護(hù)形式為兩道支撐+排樁的基坑工程中,對(duì)該方法的適用性進(jìn)行驗(yàn)證。對(duì)樁撐式支護(hù)結(jié)構(gòu)進(jìn)行受力分析,建立了抗傾覆穩(wěn)定性功能函數(shù),將具體的數(shù)據(jù)代入編制的通用計(jì)算程序,計(jì)算出了抗傾覆可靠度;采用ANSYS的APDL編制了基坑開(kāi)挖的分析文件,運(yùn)用PDS模塊計(jì)算出基坑的深層土體位移、坑底隆起及周邊沉降變形可靠度,并根據(jù)系統(tǒng)可靠性理論計(jì)算出基坑的變形可靠度。結(jié)果顯示基坑的穩(wěn)定可靠度和變形可靠度均大于目標(biāo)可靠度,表明基坑是安全的,與實(shí)際相符,說(shuō)明基于可靠性理論的基坑穩(wěn)定和變形評(píng)價(jià)方法具有適用性。
[Abstract]:The purpose of checking calculation of foundation pit stability and deformation is to evaluate the safety of foundation pit support design scheme and avoid accidents caused by improper design. The proportion of foundation pit accidents caused by design reasons accounts for 30%, which indicates that the existing methods for checking foundation pit stability and deformation have certain defects. In this paper, reliability theory is applied to check the stability and deformation of foundation pit. Taking fully into account the variability of soil or supporting structure, the calculation methods of stability reliability and deformation reliability of foundation pit are studied. The main work contents and conclusions are as follows: 1) the three expressions of reliability are analyzed: reliability probability, reliability probability, and so on. Failure probability, reliability index, three methods to deal with uncertain factors are discussed: 蠂 2 test method and K-S test method and A2 test method, and several commonly used reliability calculation methods are summarized: first order second moment method, Monte Carlo method, stochastic finite element method, the first order second moment method, the Monte Carlo method, the stochastic finite element method, the first order second moment method, the Monte Carlo method and the stochastic finite element method. The calculation method of stability reliability of foundation pit is studied, which is based on the limit equilibrium method. The difference between the resistance effect of foundation pit and the load effect is regarded as the function of reliability. Because the stress of different support structures is different, considering the difference of soil properties and the analysis of force, The overall stability function, the anti-slip stability function, the anti-overturning stability function and the overturning function of the soil nailing wall supporting structure are established, respectively. The anti-overturning function function of pile (wall) supporting structure, the anti-overturning function function and anti-slip function function of gravity support structure, the cohesive force and internal friction angle of each layer of soil are taken as random variables, according to the characteristics of function function, The improved first-order second-moment method is chosen to calculate the stability reliability, and the general calculation program .Xi ~ 3 is compiled by MATLAB. The method of calculating the deformation reliability of foundation pit is studied. According to the reliability theory, the displacement of the deep soil of the foundation pit is put forward. The difference between the warning value of pit bottom uplift and surrounding settlement value and the corresponding maximum actual deformation value is regarded as the reliability function, and the probability that the function function is greater than zero is the reliability degree. In view of the characteristic that the deformation of foundation pit is difficult to express by explicit equation, Random finite element method is selected to calculate the reliability of deformation. The cohesive force and the angle of internal friction of soil are taken as random variables, the maximum displacement of deep soil, the maximum value of uplift at the bottom of the pit, and the maximum value of settlement around the soil are taken as random output variables. The method of calculating the deformation reliability of foundation pit by using ANSYS-PDS module is studied. The method of foundation pit stability and deformation evaluation based on reliability theory is applied to the foundation pit engineering with two braced piles. The applicability of this method is verified. The stress analysis of pile-braced supporting structure is carried out, the function function of anti-overturning stability is established, the specific data is added into the general calculation program, and the anti-overturning reliability is calculated. The analysis document of foundation pit excavation is compiled by APDL of ANSYS, and the reliability of deep soil displacement, uplift of pit bottom and surrounding settlement deformation is calculated by PDS module. According to the system reliability theory, the deformation reliability of the foundation pit is calculated. The results show that the stability reliability and deformation reliability of the foundation pit are higher than the target reliability, which indicates that the foundation pit is safe and consistent with the practice. It shows that the method of foundation pit stability and deformation evaluation based on reliability theory is applicable.
【學(xué)位授予單位】：武漢理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TU753

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