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自適應(yīng)差分進(jìn)化算法在邊坡滑面搜索中的應(yīng)用

發(fā)布時(shí)間:2018-11-06 08:16
【摘要】:邊坡三維臨界滑裂面的確定及其安全系數(shù)的求解是邊坡穩(wěn)定分析中的關(guān)鍵問(wèn)題,而現(xiàn)有分析方法尚難以方便、可靠地獲得三維滑裂面。在有限元數(shù)值應(yīng)力場(chǎng)的基礎(chǔ)上,計(jì)算邊坡的安全系數(shù)。通過(guò)構(gòu)造擴(kuò)展橢球形滑裂面,利用自適應(yīng)差分進(jìn)化(SaDE)算法結(jié)合反向移動(dòng)操作,實(shí)現(xiàn)了復(fù)雜邊坡三維臨界滑裂面的搜索。擴(kuò)展橢球滑裂面構(gòu)造方便,搜索靈活,比傳統(tǒng)的球面或橢球面更能反映實(shí)際工程情況。整個(gè)求解過(guò)程為顯式求解,不存在收斂性問(wèn)題。算例考核結(jié)果表明,提出的方法具有良好的搜索效率與全局尋優(yōu)能力,結(jié)果與剛體極限平衡法、有限元強(qiáng)度折減法吻合,計(jì)算結(jié)果合理可靠。通過(guò)實(shí)際工程邊坡,進(jìn)一步驗(yàn)證了該方法可方便、有效地應(yīng)用于具有復(fù)雜巖性及環(huán)境條件的邊坡三維穩(wěn)定性分析。
[Abstract]:The determination of three dimensional critical slip surface and the solution of its safety factor are the key problems in slope stability analysis, but the existing analysis methods are still difficult to obtain the three dimensional slip surface reliably. The safety factor of slope is calculated on the basis of finite element numerical stress field. By constructing the extended ellipsoid sliding surface and using the adaptive differential evolution (SaDE) algorithm combined with the reverse movement operation, the 3D critical slip surface search of the complex slope is realized. The extended ellipsoid slide surface is easy to be constructed, and the search is flexible. It can reflect the actual engineering situation better than the traditional spherical surface or ellipsoid surface. The whole solution process is explicit and there is no convergence problem. The results of numerical examples show that the proposed method has good searching efficiency and global optimization ability, and the results are in agreement with the rigid body limit equilibrium method and the finite element strength reduction method, and the calculation results are reasonable and reliable. Through practical engineering slope, it is further proved that the method is convenient and can be effectively applied to the three-dimensional stability analysis of slope with complex lithology and environmental conditions.
【作者單位】: 武漢大學(xué)水資源與水電工程科學(xué)國(guó)家重點(diǎn)實(shí)驗(yàn)室;
【基金】:湖北省自然科學(xué)基金面上項(xiàng)目(No.2015CFB544)~~
【分類號(hào)】:TU43

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