本文關(guān)鍵詞：圍巖與襯砌相互作用的隧洞力學(xué)分析　出處：《華北電力大學(xué)》2015年碩士論文　論文類(lèi)型：學(xué)位論文

  更多相關(guān)文章： 非圓形隧洞 支護(hù)滯后 保角變換 有限元方法 應(yīng)力分析

【摘要】：基于平面彈性復(fù)變函數(shù)中的保角變換方法,可以獲得在原始地應(yīng)力作用下非圓形隧洞考慮支護(hù)滯后過(guò)程的應(yīng)力和位移解析解。實(shí)際工程中襯砌與圍巖將產(chǎn)生相互作用,本文分別考慮了兩種不同的接觸類(lèi)型,分別是： (1)圍巖與襯砌完全接觸；(2)圍巖與襯砌光滑接觸。當(dāng)假設(shè)圍巖與襯砌為完全接觸時(shí),根據(jù)襯砌內(nèi)邊界的應(yīng)力邊界條件及圍巖襯砌接觸面上的應(yīng)力和位移連續(xù)條件,在考慮支護(hù)滯后于開(kāi)挖過(guò)程的前提下,通過(guò)柯西積分解法,可以獲得求解圍巖和襯砌解析函數(shù)的基本方程。當(dāng)假設(shè)圍巖與襯砌為光滑接觸時(shí),圍巖和襯砌解析函數(shù)的基本方程不能使用常規(guī)的柯西積分方法求解,而需利用冪級(jí)數(shù)方法進(jìn)行求解。當(dāng)取解析函數(shù)為級(jí)數(shù)表達(dá)式時(shí),級(jí)數(shù)表達(dá)式中的系數(shù)則為待求未知量,通過(guò)基本方程推導(dǎo)出求解這些系數(shù)的線性方程組,由此可以計(jì)算圍巖和襯砌中的應(yīng)力和位移。以馬蹄形隧洞與直墻半圓拱形隧洞兩種常見(jiàn)隧洞形狀為例,求解隧洞圍巖開(kāi)挖邊界和襯砌內(nèi)外邊界的環(huán)向應(yīng)力及圍巖與襯砌接觸面上的接觸應(yīng)力。本文運(yùn)用ANSYS有限元數(shù)值分析軟件模擬隧洞開(kāi)挖過(guò)程,求解圍巖開(kāi)挖邊界和襯砌內(nèi)外邊界的切向應(yīng)力及圍巖與襯砌接觸面上的接觸應(yīng)力,將結(jié)果與上述解析方法所獲得的應(yīng)力結(jié)果對(duì)比,兩種方法的結(jié)果吻合很好。說(shuō)明本文在推導(dǎo)解析函數(shù)的過(guò)程中并未發(fā)生錯(cuò)誤。并且在光滑接觸工況下,各邊界的應(yīng)力分布均優(yōu)于完全接觸工況下的應(yīng)力分布,可得出當(dāng)在對(duì)隧洞進(jìn)行支護(hù)時(shí),可選擇在混凝土中摻入能夠降低摩擦系數(shù)的添加劑,有利于提高襯砌與圍巖的穩(wěn)定性。
[Abstract]:Based on the conformal transformation method in the plane elastic complex variable function. The analytical solution of stress and displacement of non-circular tunnel considering the process of supporting lag can be obtained under the action of original in-situ stress, and the interaction between lining and surrounding rock will occur in practical engineering. In this paper, two different contact types are considered, namely: (1) complete contact between surrounding rock and lining; (2) smooth contact between surrounding rock and lining. When the contact between surrounding rock and lining is assumed to be complete, the stress boundary condition of lining inner boundary and the continuous stress and displacement condition on the contact surface of surrounding rock lining are considered. On the premise that the support lags behind the excavation process, the basic equation of solving the analytic function of surrounding rock and lining can be obtained by Cauchy integral solution. When the wall rock and lining are assumed to be smooth contact. The basic equations of the analytical function of surrounding rock and lining can not be solved by the conventional Cauchy integral method, but need to be solved by the power series method, when the analytic function is taken as a series expression. The coefficients in the series expression are unknowns, and the linear equations for solving these coefficients are derived from the basic equations. The stresses and displacements in surrounding rock and lining can be calculated, taking the common tunnel shapes of horseshoe tunnel and straight wall semi-circular arch tunnel as examples. In order to solve the circumferential stress of surrounding rock excavation boundary and lining inner and outer boundary and the contact stress between surrounding rock and lining, this paper simulates the excavation process of tunnel by using ANSYS finite element numerical analysis software. The tangential stress of surrounding rock excavation boundary and lining inner and outer boundary and the contact stress between surrounding rock and lining contact surface are solved, and the results are compared with the stress results obtained by the above analytical method. The results of the two methods are in good agreement with each other. It shows that there is no error in the derivation of the analytic function in this paper, and the stress distribution of each boundary is better than that of the complete contact condition under smooth contact conditions. It can be concluded that when supporting the tunnel, the additive can be added to the concrete to reduce the friction coefficient, which is helpful to improve the stability of lining and surrounding rock.
【學(xué)位授予單位】：華北電力大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類(lèi)號(hào)】：U451

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1 孟s，

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