地震作用下土坡稳定性的变分极限平衡分析

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中图分类号：TU435 文献标志码：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

考虑地震作用下的边坡稳定性分析是岩土工程的一个重要课题。（剩余10833字）