地震作用下土坡穩(wěn)定性的變分極限平衡分析

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中圖分類(lèi)號(hào)：TU435 文獻(xiàn)標(biāo)志碼：A DOI：10.16385/j.cnki.issn.1004-4523.202306032

Abstract：Basedonthebasicprincipleofvariationalmethodandlimitequilibriummethod，thestabiltyofsoillopeunderearth quakeactionisaalyzedacurately.Combiningthelimitequlibriummethodofsopestabilityaalysisandthepseudostaticmeth od，theauxilaryfunctionalunderonstraintconditionsisonstructedbyintroducingLagrangeultiplritothqilibimequtionofslidingsoil.Thefrstorderordinarydiferentialequationswiththebasicunknowsofpotentialslidingsurface，oalstress of slidingsurface，forceofslidingbodysafetyfactorandLagrange muliplierareobtainedbyusing Eulerequation.Thecoupled nonlineardiferentialequationsaresolvednumericallybyusingtheshoting method，andanaccuratesolutionforslopestability analysis under seismic action is obtained.The efectiveness ofthe modeland method is verified by numerical examples.

Keywords： variational limit equilibrium method ;homogeneous soil slope;earthquake action;shooting method

考慮地震作用下的邊坡穩(wěn)定性分析是巖土工程的一個(gè)重要課題。（剩余10833字）