隧道工程的可靠性分析方法與應用
發(fā)布時間:2018-12-10 09:22
【摘要】:隧道是巖土工程中的重要組成部分,由于隧道工程中各種地質參數(shù)存在不確定性,而傳統(tǒng)的穩(wěn)定性分析方法很難考慮不確定性,所以可靠性分析為隧道工程穩(wěn)定性研究提供了一種有效的途徑。本文將響應面法和數(shù)值模擬進行有機結合,考慮地質參數(shù)如:彈性模量、內(nèi)摩擦角和粘聚力等的不確定性,利用響應面法建立隧道極限狀態(tài)方程,并結合最優(yōu)化方法計算隧道的可靠性指標與破壞概率,為隧道工程的設計、穩(wěn)定性分析與安全施工提供了可靠的依據(jù)。主要研究內(nèi)容如下:一、對可靠性分析方法進行簡單介紹,結合隧道工程中不確定性因素對于隧道穩(wěn)定性的影響,選擇合理的可靠性分析方法進行分析計算。隧道工程中的極限狀態(tài)方程通常是隱式形式,不易獲得有關位移和應力具體形式的解析解,由此提出了應用數(shù)值模擬結合響應面法對隧道穩(wěn)定性進行可靠性分析的方法。二、為了驗證上述方法的合理性,選擇在靜水壓力場中的無支護圓形隧洞,根據(jù)其圍巖變形的解析式,利用最優(yōu)化方法和響應面法分別求得其可靠性指標;隧道工程中的變形并不都能通過解析式獲得,根據(jù)已知的地質參數(shù)及分布特性經(jīng)過數(shù)值模擬可以得到相應的位移,結合響應面法擬合出極限狀態(tài)方程,進而通過迭代計算求得其可靠性指標。通過對驗證例子的分析,不同方法之間的相對誤差在合理范圍內(nèi)。三、將上述方法應用到無支護、噴射混凝土支護、錨桿支護和錨桿加噴射混凝土支護措施下的東川隧道工程中,并完成相應的可靠性分析研究。
[Abstract]:Tunnel is an important part of geotechnical engineering. Because of the uncertainty of various geological parameters in tunnel engineering, the traditional stability analysis method is difficult to consider uncertainty. Therefore, reliability analysis provides an effective way to study the stability of tunnel engineering. In this paper, the response surface method is combined with numerical simulation to establish the limit state equation of tunnel by considering the uncertainty of geological parameters such as elastic modulus, angle of internal friction and cohesion. The reliability index and the failure probability of the tunnel are calculated with the optimization method, which provides a reliable basis for the design, stability analysis and safe construction of the tunnel engineering. The main research contents are as follows: firstly, the reliability analysis method is introduced briefly, and the reasonable reliability analysis method is chosen to analyze and calculate the tunnel stability by considering the influence of the uncertain factors in tunnel engineering. The limit state equation in tunnel engineering is usually an implicit form, so it is difficult to obtain the analytical solution of displacement and stress. Therefore, a method of reliability analysis of tunnel stability by numerical simulation combined with response surface method is proposed. Secondly, in order to verify the rationality of the above method, the unsupported circular tunnel in hydrostatic pressure field is selected. According to the analytical formula of surrounding rock deformation, the reliability index is obtained by using the optimization method and the response surface method. Not all the deformation in tunnel engineering can be obtained by analytic formula. According to the known geological parameters and distribution characteristics, the corresponding displacement can be obtained by numerical simulation, and the limit state equation can be fitted with the response surface method. Then the reliability index is obtained by iterative calculation. Through the analysis of the verification examples, the relative error between different methods is within a reasonable range. Thirdly, the above methods are applied to Dongchuan tunnel project under the measures of no support, shotcrete support, bolt support and bolt plus shotcrete support, and the corresponding reliability analysis is completed.
【學位授予單位】:河南理工大學
【學位級別】:碩士
【學位授予年份】:2015
【分類號】:U452
[Abstract]:Tunnel is an important part of geotechnical engineering. Because of the uncertainty of various geological parameters in tunnel engineering, the traditional stability analysis method is difficult to consider uncertainty. Therefore, reliability analysis provides an effective way to study the stability of tunnel engineering. In this paper, the response surface method is combined with numerical simulation to establish the limit state equation of tunnel by considering the uncertainty of geological parameters such as elastic modulus, angle of internal friction and cohesion. The reliability index and the failure probability of the tunnel are calculated with the optimization method, which provides a reliable basis for the design, stability analysis and safe construction of the tunnel engineering. The main research contents are as follows: firstly, the reliability analysis method is introduced briefly, and the reasonable reliability analysis method is chosen to analyze and calculate the tunnel stability by considering the influence of the uncertain factors in tunnel engineering. The limit state equation in tunnel engineering is usually an implicit form, so it is difficult to obtain the analytical solution of displacement and stress. Therefore, a method of reliability analysis of tunnel stability by numerical simulation combined with response surface method is proposed. Secondly, in order to verify the rationality of the above method, the unsupported circular tunnel in hydrostatic pressure field is selected. According to the analytical formula of surrounding rock deformation, the reliability index is obtained by using the optimization method and the response surface method. Not all the deformation in tunnel engineering can be obtained by analytic formula. According to the known geological parameters and distribution characteristics, the corresponding displacement can be obtained by numerical simulation, and the limit state equation can be fitted with the response surface method. Then the reliability index is obtained by iterative calculation. Through the analysis of the verification examples, the relative error between different methods is within a reasonable range. Thirdly, the above methods are applied to Dongchuan tunnel project under the measures of no support, shotcrete support, bolt support and bolt plus shotcrete support, and the corresponding reliability analysis is completed.
【學位授予單位】:河南理工大學
【學位級別】:碩士
【學位授予年份】:2015
【分類號】:U452
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