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復(fù)變函數(shù)法分析盾構(gòu)隧道開挖引起的土體位移和襯砌變形

發(fā)布時(shí)間:2018-02-10 15:54

  本文關(guān)鍵詞: 盾構(gòu)隧道 復(fù)變函數(shù) 橢圓化變形 土體位移 襯砌變形 出處:《巖土工程學(xué)報(bào)》2017年09期  論文類型:期刊論文


【摘要】:盾構(gòu)隧道開挖引起的地層變形歷來是人們所關(guān)注的重要課題。目前,既有成果較少考慮隧道襯砌與土體相互作用所帶來的影響,尤其是較少針對(duì)襯砌變形進(jìn)行分析,就此基于隧道橢圓化變形邊界條件,提出了考慮襯砌與土體兩種不同介質(zhì)相互作用下的地層位移和襯砌變形復(fù)變函數(shù)解答。在該方法中,隧道埋深只影響共形映射后圓環(huán)域的環(huán)壁厚度,而解析區(qū)域依然保持圓形,具有不會(huì)對(duì)函數(shù)解析產(chǎn)生影響的優(yōu)勢;此外,該法經(jīng)共形映射后保證了邊界連續(xù)性,避免了既有應(yīng)力函數(shù)法為保證隧道擾動(dòng)土體無窮遠(yuǎn)處位移為零,而對(duì)解析解進(jìn)行修正所導(dǎo)致物理意義不明確的缺陷。通過實(shí)例分析,得到了隧道開挖引起的地表沉降,并與實(shí)測數(shù)據(jù)進(jìn)行了對(duì)比驗(yàn)證;通過參數(shù)分析,獲取了擾動(dòng)地層和隧道襯砌變形的影響規(guī)律。結(jié)果表明:復(fù)變函數(shù)解答得到的土體位移曲線與實(shí)測值吻合較好,且地表最大沉降值更接近于實(shí)測值;隧道的埋深和半徑對(duì)土體位移和襯砌變形均有較大影響,襯砌厚度對(duì)其影響雖然較小,但仍不可忽略;襯砌徑向位移曲線呈仰臥的鴨蛋形,關(guān)于90°/270°軸對(duì)稱,拱頂和拱底被壓扁,拱頂壓縮量明顯大于拱底,左、右兩側(cè)壓縮量小于上、下兩側(cè),表現(xiàn)為收縮之后又被壓扁向左、右兩側(cè)突出,且隨著埋深的增大,襯砌整體上浮;襯砌環(huán)向位移曲線呈側(cè)立的蘋果形,關(guān)于0°/180°軸對(duì)稱,且在90°和270°處取值為零,隨著隧道埋深的增大,環(huán)向位移絕對(duì)值增大。
[Abstract]:The ground deformation caused by shield tunnel excavation has always been an important subject of concern. At present, the existing achievements seldom consider the influence brought by the interaction between tunnel lining and soil, especially the analysis of lining deformation. Based on the elliptical deformation boundary condition of tunnel, the complex function solution of stratum displacement and lining deformation considering the interaction between lining and soil is presented. The depth of tunnel only affects the thickness of the ring wall after conformal mapping, but the analytic region is still circular, which has the advantage of not having an effect on the function analysis, in addition, the conformal mapping ensures the continuity of the boundary. The existing stress function method is used to avoid the defect that the existing stress function method can ensure the infinite displacement of the disturbed soil is zero and the physical meaning is not clear due to the modification of the analytical solution. The surface settlement caused by the tunnel excavation is obtained through the analysis of an example. The effects of disturbance strata and tunnel lining deformation are obtained by parameter analysis. The results show that the displacement curve of soil obtained by complex variable function is in good agreement with the measured data. The maximum settlement value of the ground surface is closer to the measured value, the depth and radius of the tunnel have great influence on the displacement of soil and the deformation of the lining, and the thickness of the lining has little effect on it, but it can not be ignored, the radial displacement curve of the lining is the duck egg shape of supine. With respect to 90 擄/ 270 擄axisymmetric, the crown and bottom are compressed, the compression of the vault is obviously greater than that of the arch bottom, the compression amount of the left and right sides is less than that of the upper and lower sides, which is shown as follows: after contraction, the compression is flattened to the left and the right side protrudes, and with the increase of the depth of burying, The annular displacement curve of the lining is apple-shaped with an axial symmetry of 0 擄/ 180 擄, and is zero at 90 擄and 270 擄. The absolute value of the circumferential displacement increases with the increase of the buried depth of the tunnel.
【作者單位】: 國土資源部丘陵山地地質(zhì)災(zāi)害防治重點(diǎn)實(shí)驗(yàn)室;上海理工大學(xué)環(huán)境與建筑學(xué)院;中國建筑科學(xué)研究院建筑安全與環(huán)境國家重點(diǎn)實(shí)驗(yàn)室;華東建筑設(shè)計(jì)研究院有限公司;
【基金】:國家自然科學(xué)基金項(xiàng)目(41772331) 上海自然科學(xué)基金項(xiàng)目(15ZR1429400) 國土資源部丘陵山地地質(zhì)災(zāi)害防治重點(diǎn)實(shí)驗(yàn)室課題(2015k005) 建筑安全與環(huán)境國家重點(diǎn)實(shí)驗(yàn)室課題(BSBE2015-01)
【分類號(hào)】:U455.43

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