本文選題：尖點(diǎn)突變理論 + 有限元��； 參考：《工程科學(xué)與技術(shù)》2017年04期

【摘要】：地質(zhì)力學(xué)模型試驗(yàn)是研究高壩工程穩(wěn)定安全性的重要方法之一,如何較準(zhǔn)確的通過測試結(jié)果建立大壩失穩(wěn)判據(jù),判斷壩與地基的失穩(wěn)破壞過程,得到綜合穩(wěn)定安全系數(shù),是地質(zhì)力學(xué)模型試驗(yàn)的關(guān)鍵技術(shù)問題。本文由突變理論及其相關(guān)性質(zhì),選用較為成熟的尖點(diǎn)突變模型及其標(biāo)準(zhǔn)勢(shì)函數(shù)公式,推導(dǎo)出相應(yīng)的失穩(wěn)突變判別式,建立基于尖點(diǎn)突變理論的失穩(wěn)判據(jù),并通過相關(guān)算例進(jìn)行有限元分析,依據(jù)計(jì)算成果的變位 超載系數(shù)關(guān)系,提出超載安全系數(shù),并與有限元塑性區(qū)貫通、計(jì)算不收斂等失穩(wěn)判據(jù)對(duì)比分析,印證尖點(diǎn)突變模型失穩(wěn)判據(jù)的可靠性和適用性。再將其應(yīng)用于丹巴水電站地質(zhì)力學(xué)模型試驗(yàn)中,試驗(yàn)結(jié)果給出了閘壩在正常蓄水位和降強(qiáng)之后超載作用下的位移場,獲得了閘壩的變形及分布特征,揭示了裂縫發(fā)展的全過程及其破壞機(jī)制,得到降強(qiáng)系數(shù)為1.18,超載系數(shù)為1.8~2.0,確定了閘壩整體穩(wěn)定安全系數(shù)為2.12~2.36。根據(jù)尖點(diǎn)突變理論,由試驗(yàn)測試成果建立相關(guān)失穩(wěn)判據(jù),據(jù)此提出破壞過程及綜合穩(wěn)定安全系數(shù),并與常規(guī)地質(zhì)力學(xué)模型試驗(yàn)分析成果進(jìn)行對(duì)比,分析結(jié)果驗(yàn)證了基于地質(zhì)力學(xué)模型試驗(yàn)測試成果的尖點(diǎn)突變模型失穩(wěn)判據(jù)的合理性。
[Abstract]:The geomechanical model test is one of the important methods to study the stability safety of high dam engineering. How to establish the dam instability criterion accurately through the test results, judge the failure process of dam and foundation, and obtain the comprehensive stability safety factor. It is a key technical problem in the model test of geomechanics. Based on the catastrophe theory and its related properties, the more mature cusp catastrophe model and its standard potential function formula are used to deduce the corresponding unstable catastrophe discriminant, and the instability criterion based on the cusp catastrophe theory is established. The safety factor of overload is put forward according to the relation of the displacement and overload coefficient of the calculation results, and compared with the failure criterion of finite element, such as the plastic zone, the calculation of non-convergence, and so on. The reliability and applicability of the instability criterion of the cusp catastrophe model are verified. Then it is applied to the geomechanical model test of Danba Hydropower Station. The result of the test gives the displacement field of the gate dam under the action of the normal water level and the overloading after the drop of strength, and the deformation and distribution characteristics of the dam are obtained. The whole process of fracture development and its failure mechanism are revealed. The strength reduction coefficient is 1.18 and the overload coefficient is 1.82.0.The overall stability safety factor of the dam is determined to be 2.12 ~ 2.36. According to the cusp catastrophe theory, the relevant instability criterion is established from the test results, and the failure process and the comprehensive stability safety factor are put forward, and the results are compared with the results of the conventional geomechanical model test and analysis. The analysis results verify the rationality of the instability criterion of the cusp catastrophe model based on the test results of the geomechanical model test.
【作者單位】： 四川大學(xué)水利水電學(xué)院水力學(xué)與山區(qū)河流開發(fā)保護(hù)國家重點(diǎn)實(shí)驗(yàn)室;成都理工大學(xué)博物館;
【基金】：國家自然科學(xué)基金資助項(xiàng)目(51379139;51409179)
【分類號(hào)】：O192;TV64

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