边坡稳定分析的三维spencer法

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1、维普资讯http://www.cqvip.com第24卷第l9期岩石力学与工程学报、，o1．24No．19Dcf．，20052005年lO月ChineseJournalofRockMechanicsandEngineering边坡稳定分析的三维Spencer法张均锋，王思莹，祈涛(1．中国科学院力学研究所，北京100080：2．中国科学技术大学力学和机械工程系，安徽合肥230026)摘要：将边坡稳定分析中的二维Spencer法拓展到了三维。该方法对所有条块满足力的平衡以及整体力矩平衡，克服了其他方法中只适用对称问题的缺点，不需已知滑动方向，还可根据滑面的几何特征，

2、进一步得到各条块局部的稳定性系数及其潜在的滑动方向。此外，给出了该方法的实现步骤，其算法的收敛性也较好。最后以不对称问题为算例，并与其他文献中的结果进行比较，验证了该方法的可行性和有效性。关t词：边坡工程；三维边坡分析；稳定性分析；极限平衡中圈分类号：P642．2文献标识码：A文章编号：1000—6915(2005)19—3434—06THREE．DIMENSIoNALSPENCERMETHoDFoRSLoPESTABILITYANALYSISZHANGJun．feng，WANGSi．ying，QITao(1．InstituteofMechanics，Chines

3、eAcademyofSciences，Be(ring100080，China；2．DepartmentofModernMechanics，UniversityofScienceandTechnologyofChina，Hefei230026，China)Abstract：Thetwo‘dimensionalSpencermethodiSextendedtothree-dimensionalslopestabilityanalysis，inwhichallforcesactingonthediscretizedblocksaretakenintoaccount．Th

4、estaticforceequilibriuminallthreedirectionsissatisfied：andthetotalmomentequilibriumisalsosatisfied．Inthismethod，thepotentialslidingmassisdividedintorigidblocks．Theinter-blockforcesandtheirdirectionareinvolvedinthecomputingprocess．Itdoesnotneedpreviouslyknownmainslidingdirectionofthesl

5、ope．Hence，thenumberofassumptionsbeingintroducedislessthanthatinotherthree-dimensionalanalysismethods．Thismethodcanbeappliedtovarioustypesofpotentialslidingsurfaces，complicatedgeologicalboundariesandstratifications，waterpressure，andearthquakeloading，especiallyfortheslopewithasymmetrica

6、lprofile．Thisproposedmethodholdstheadvantagesofthe2DSpencermethod．Theconvergenceoftheiterativecalculatingprocessinthismethodisbetterthanthatofothermethods．Inaddition，thismethodnotonlygivesonevalueofthesafetyfactorsforanintegratedslope，butalsoanalyzesthesafetyfactoranditsslidingdirecti

7、onforeachblockaccordingtothecharacteristicsofitsslidingsurface．Thenumericalapproachesandstepsareprovidedtoachievetheprogramoftheproposedmethodfor3Dslopestabilityanalysis．Someprogrammingtechniquesarealsoproposedtoensurethepracticabilityandvalidityofthemethod．Moreover，anasymmetricalexam

8、pleis