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高雁寧，王曉磊，劉歷波，韓現(xiàn)剛

（河北工程大學(xué) 土木工程學(xué)院，河北 邯鄲 056038）

摘 要：充填采礦可以有效控制巖層移動(dòng)、抑制地表沉陷、減輕地質(zhì)災(zāi)害，并且能夠處理或利用一定的固體廢棄物，有效地改善礦山上覆巖層的力學(xué)環(huán)境，減輕頂板壓力。以平?jīng)瞿趁旱V為工程背景，研究煤礦充填開(kāi)采條件下堅(jiān)硬頂板沉降變形情況，構(gòu)建了頂板力學(xué)模型，對(duì)于初期來(lái)壓采用四邊固支的邊界條件，利用變分法中伽遼金變形方程求選用不同撓度表達(dá)式的解。另對(duì)周期來(lái)壓選用三邊固支一邊自由的邊界條件，采用變分法中里茲變形方程進(jìn)行求解。得出充填后頂板撓度顯著減小，初期來(lái)壓下減小38.74%，周期來(lái)壓下減小66.84%。并得到充填開(kāi)采頂板沉降變形規(guī)律，隨著充填體彈性模量k值增大，頂板下沉位移顯著減小。

關(guān)鍵詞：頂板力學(xué)模型；矩形彈性薄板；充填開(kāi)采；頂板沉降；變分法

中圖分類號(hào)：TD31    

文獻(xiàn)標(biāo)志碼：A     

文章編號(hào)：1005-8249（2024）02-0045-06

DOI：10.19860/j.cnki.issn1005-8249.2024.02.009

GAO Yanning, WANG Xiaolei, LIU Libo, HAN Xiangang

(College of Civil Engineering, Hebei University of Engineering, Handan 056038, China)

Abstract: Filling mining has the effect of controlling the movement of rock layers, curbing surface subsidence, and reducing geological disasters, while it can effectively use part of the solid waste, improve the mechanical environment of rock strata and reduce roof pressure. Taking a coal mine in Pingliang as the engineering background and aiming at the settlement deformation of the hard roof under the coal mine filling mining, the mechanical model of roof plate is constructed for the settlement and deformation of hard roof under the filling mining of coal mine. For the boundary condition of the four-sided solid branch of the initial pressure, the solution of different deflection expressions is selected by using the Galiagin deformation equation in the variational method. In addition, the boundary conditions of three clamped edges and one free edge are used for periodic weighting, and the Ritz deformation equation in the deformation method is used for solving. It is concluded that the roof deflection after filling is significantly reduced, the initial weighting is reduced by 38.74 %, and the periodic weighting is reduced by 66.84 %. At the same time, the sedimentation deformation law of the top plate under the filling and mining can be obtained, and the sinking displacement of the roof plate is significantly reduced as the elastic modulus k value of the filling body increases.

Keywords: roof mechanics model ; rectangular elastic thin plate ; filling mining ; roof settlement ; variation method

基金項(xiàng)目：國(guó)家重點(diǎn)實(shí)驗(yàn)室開(kāi)放基金項(xiàng)目（SKLMRDPC19KF04）。

作者簡(jiǎn)介：高雁寧（1996-），男，碩士研究生，主要研究方向：頂板沉降、煤礦充填方面研究。

通信作者：王曉磊（1983-），男，博士，副教授，主要研究方向：地基基礎(chǔ)方面研究。

收稿日期：2023-07-07