橫觀各向同性飽和地基豎向振動分析

1、浙江大學(xué)碩士學(xué)位論文橫觀各向同性飽和地基豎向振動分析姓名：鄭灶鋒申請學(xué)位級別：碩士專業(yè)：巖土工程指導(dǎo)教師：蔡袁強(qiáng)20050201VibrationAnalysisonTransverselyIsotropicsaturatedsoilsABSTRACTThestudyofdynamicresponseofsaturatedsoilsisanimportantissuetogeotechnicalengineering.Itisofgre

2、atvaluetotheanalysisanddesignoffoundationssubjectedtodynamicloadssuchasvibratingmachinesandseismicwaves.Onthebasisoftheexistingresultsomeworkisstudiedinthispaper.FirstlyaccordingtoBiotsdynamicequationsoftransverselyisotr

3、opicsoilsHankeltransformisusedtoobtainthesolutionsofverticalvibrationonsaturatedsoilsunderharmonicloading.ThenumericalinversionofHankeltransformisusedtoobtainsomeresultstoinvestigatetheeffectofthetypeanddegreeofsoilsanis

4、otropythepermeabilitycoefficientandtheloadingfrequencyontheverticaldisplacementtheefectivestressandporepressure.SecondlybythemeansofHankeltransformandmatrixtransfertheverticalvibrationinhalfsaturatedsoilsissolved.Thesolu

5、tionofradialandverticalsurfacedisplacementinthecaseofdrainedinterfaceisobtained運(yùn)integralform.ThenumericalinversionofHankeltransformisusedtoanalyzetheefectofanisotropyoftheelasticsoilsandthesaturatedsoilsontheverticalsurf

6、acedisplacement.ThirdlybyuseofLaplaceHankeltransformtheverticalvibrationprobleminsaturatedlayeredsoilssubjectedtoarbitraryloadingissolved.Thesolutionsofverticalsurfacedisplacementandporepressureinthecaseofdrainedinterfac

7、eofsaturatedlayeredsoilswithunderlyingrockstratum.Adoptingthenumericalinversionofintegraltransformthedynamicresponseofsoilsunderthegraduallyappliedsteploadingandthesinusoidalloadingisinvestigated.Finallytakingtheproblemo

8、fdynamicresponseoftransverselyisotropicsaturatedsoilsunderarbitraryloadingtheLaplaceHankeltransformisusedtoobtainthesolutionsofsurfacedisplacementefectivestressandporepressureoftransverselyisotropicsaturatedhalfspacesubj

9、ectedtoarbitraryloading.Anumericalresultisgiventostudythedynamicresponseofsurfacedisplacement.KeywordstransverselyisotropicsaturatedsoilsBiotsdynamicequationsHankeltransformLaplacetransformharmonicloadingarbitraryloading