淺埋隧道圍巖應(yīng)力及位移的顯式解析解
發(fā)布時(shí)間:2018-06-07 23:12
本文選題:淺埋隧道 + 應(yīng)力和位移 ; 參考:《巖土工程學(xué)報(bào)》2014年12期
【摘要】:淺埋隧道施工引起的地層位移將傳遞至地表進(jìn)而形成地表沉降,施工前準(zhǔn)確預(yù)測(cè)地層位移是有效控制地表沉降的前提;趶(fù)變函數(shù)法,利用逆映射函數(shù)求解z平面復(fù)勢(shì)函數(shù)的級(jí)數(shù)形式,并結(jié)合柯西 黎曼方程(C R條件)對(duì)Verruijt提出的淺埋隧道圍巖應(yīng)力及位移隱式解析解中的解析函數(shù)求導(dǎo),得出了淺埋隧道應(yīng)力及位移函數(shù)的級(jí)數(shù)顯式表達(dá)式;與Verruijt隱式解析解相比,該顯式解析解直觀,便于被工程人員使用,其編程計(jì)算量也較小;為確定顯式解析解中的未知系數(shù),基于淺埋隧道洞室變形產(chǎn)生的原因,提出了3種隧道洞室邊界的變形模式和2種變形比率,合理調(diào)整變形比率可以實(shí)現(xiàn)多種邊界條件組合。工程實(shí)測(cè)地層位移與顯示解析解的計(jì)算結(jié)果吻合度高,驗(yàn)證了所提顯式解析解的正確性和實(shí)用性。
[Abstract]:The ground displacement caused by shallow tunnel construction will be transferred to the surface to form the surface settlement. Accurate prediction of the formation displacement before construction is the premise to effectively control the surface settlement. Based on the complex variable function method, using inverse mapping function to solve the series form of z plane complex potential function, and combining Cauchy Riemann equation / C / R condition), the derivation of analytic function in the implicit analytical solution of surrounding rock stress and displacement of shallow tunnel proposed by Verruijt is obtained. Compared with Verruijt implicit analytic solution, the explicit analytic solution is intuitionistic, easy to be used by engineers, and its programming calculation is less. In order to determine the unknown coefficient in explicit analytic solution, the order explicit expression of stress and displacement function of shallow tunnel is obtained. Based on the causes of deformation in shallow tunnel caverns, three deformation modes and two deformation ratios of tunnel cavern boundaries are proposed. A reasonable adjustment of deformation ratios can realize the combination of various boundary conditions. The calculated results of engineering measured formation displacement are in good agreement with the analytical solution, which verifies the correctness and practicability of the explicit analytical solution.
【作者單位】: 北京交通大學(xué)城市地下工程教育部重點(diǎn)實(shí)驗(yàn)室;
【基金】:國(guó)家自然科學(xué)基金項(xiàng)目(51378002,51008015) 新世紀(jì)優(yōu)秀人才支持計(jì)劃(NCET-12-0770) 中央高校基本科研業(yè)務(wù)費(fèi)專項(xiàng)資金項(xiàng)目(2012JBZ013)
【分類號(hào)】:U456.31
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