单层饱和土中桩竖向振动简化模型及其解析解

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1、第25卷增2岩石力学与工程学报Vol.25Supp.22006年10月ChineseJournalofRockMechanicsandEngineeringOct.，2006单层饱和土中桩竖向振动简化模型及其解析解112王桂敏，李强，王奎华(1.浙江海洋学院土木工程系，浙江舟山316004；2.浙江大学岩土工程研究所，浙江杭州310027)摘要：建立单层饱和土中桩竖向振动的简化模型，基于Biot理论和一维杆件理论，利用势函数分解方法对桩土系统解耦，获得桩土完全接触条件下桩土耦合振动的频域解析解的显式表达，分析桩

2、竖向振动特性的主要影响因素。将提出的简化模型解与饱和半空间中桩振动的积分方程解进行对比，讨论桩底支承刚度的取值。该解析解与边界元解的对比以及退化为单相介质后与单相介质有限元解的对比，均表明其具有较高的精度，可以满足工程要求。关键词：桩基工程；饱和土；竖向振动；动刚度中图分类号：TU47文献标识码：A文章编号：1000–6915(2006)增2–4233–08SIMPLIFIEDMODELFORVERTICALVIBRATIONOFPILEINSINGLE-LAYERSATURATEDSOILANDITSANAL

3、YTICALSOLUTION112WANGGuimin，LIQiang，WANGKuihua(1.DepartmentofCivilEngineering，ZhejiangOceanUniversity，Zhoushan，Zhejiang316004，China；2.InstituteofGeotechnicalEngineering，ZhejiangUniversity，Hangzhou，Zhejiang310027，China)Abstract：Theverticalvibrationanalysisofa

4、pileembeddedinsoilhasbeenappliedinmachineryfoundations，structuresexposedtoseismicexcitationanddynamicpiletesting.Inpastseveraldecades，somemodelshavebeendeveloped.Butinmanycases，thesoilwasviewedasamonophasicmedium.Inthispaper，asimplifiedmethodforanalyzingaxis

5、ymmetricelastodynamicproblemofasinglepileinsingle-layersaturatedsoilisdeveloped.Thesoilisviewedasaporoelasticsolidsaturatedwithfluid；anditsmotionsisgovernedbyfieldequationsoriginallypresentedbyM.A.Biot.Thepileisdealtwithone-dimensionalbar.Bymeansofelastodyna

6、micandvariableseparationmethods，thetractionbetweenpileandsoilisobtainedconsideringtheperfectcontact；andthentheanalyticalsolutionsofthepile-soilsystemarefinallyderived.Thecomplexstiffnessofthepileinfrequencydomainiscomputedforillustratingthedynamicresponsesof

7、thepile-soilsysteminawiderfrequencyrange.Numericalresultsshowthattheeffectsofthemoduliratioofpileandsoilonthepiledynamicstiffnessaresignificantatlowerfrequencyaswellasthereactionparameterofpiletoe.Bycomparingnumericalresultsofpresentsolutionwiththeporoelasti

8、chalf-spacesolution，itcanbeconcludedthatthetwosolutionsagreewellwitheachotherwhenreasonablereactionparametersofpiletoearechosen.Furthermore，whenthepresentsolutiondegeneratestoamonophasicsolution