泰勒級(jí)數(shù)法在基坑穩(wěn)定性驗(yàn)算中的應(yīng)用研究
本文選題:基坑穩(wěn)定性 + 泰勒級(jí)數(shù)法; 參考:《華南理工大學(xué)》2013年碩士論文
【摘要】:基坑穩(wěn)定性驗(yàn)算是基坑設(shè)計(jì)計(jì)算的重要組成部分。長期以來,基坑穩(wěn)定性驗(yàn)算采用的是安全系數(shù)法,這是一種定值方法,其缺陷是不能考慮巖土體性質(zhì)的不確定性;然而,基于概率理論的可靠度方法,由于其理論計(jì)算較復(fù)雜,,不利于工程推廣。通過泰勒級(jí)數(shù)法,可以把兩種方法的優(yōu)勢集中起來,形成一種簡化的基坑穩(wěn)定可靠度分析方法。通過在大量的算例和陳家祠廣場基坑項(xiàng)目實(shí)例應(yīng)用該方法進(jìn)行基坑穩(wěn)定分析,證明其具有一定的實(shí)用和推廣價(jià)值。 本文的主要內(nèi)容以及結(jié)論包括以下部分: (1)總結(jié)國內(nèi)外巖土體不確定性和可靠度理論研究現(xiàn)狀,對(duì)巖土工程的不確定性因素和特點(diǎn)做了簡要介紹,并總結(jié)了常用的巖土體不確定性描述方法和可靠度計(jì)算方法,對(duì)各方法的優(yōu)缺點(diǎn)進(jìn)行了歸納。 (2)通過分析泰勒級(jí)數(shù)法在地基沉降方面的應(yīng)用,總結(jié)了泰勒級(jí)數(shù)法的一般形式和應(yīng)用方法。針對(duì)泰勒級(jí)數(shù)法分析安全系數(shù)的問題,提出了具體的功能函數(shù)和分析步驟,并把該方法應(yīng)用在邊坡穩(wěn)定分析中,驗(yàn)證了其可操作性。 (3)基于《建筑基坑支護(hù)技術(shù)規(guī)程》(JGJ120-2012)規(guī)定的基坑穩(wěn)定驗(yàn)算項(xiàng)目,研究將泰勒級(jí)數(shù)法應(yīng)用到基坑穩(wěn)定分析中的過程,通過在算例中的應(yīng)用表明通過泰勒級(jí)數(shù)法可以考慮參數(shù)變異性對(duì)基坑穩(wěn)定性的影響,并給出對(duì)應(yīng)的失效概率。 (4)將應(yīng)用泰勒級(jí)數(shù)法分析基坑穩(wěn)定的可靠度方法應(yīng)用到實(shí)際工程中,結(jié)合陳家祠廣場基坑的實(shí)際情況,給出了不同穩(wěn)定分析項(xiàng)目的失效概率。其中,坑底隆起穩(wěn)定的失效概率達(dá)0.73%。說明應(yīng)用泰勒級(jí)數(shù)法可以很好地將安全系數(shù)法與可靠度方法結(jié)合起來,使基坑穩(wěn)定分析更加符合實(shí)際工程情況。
[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.
【學(xué)位授予單位】:華南理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2013
【分類號(hào)】:TU470
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