简介:Inthispaper,antiplaneresponseofanisoscelestriangularhilltoincidentSHwavesisstudiedbasedonthemethodofcomplexfunctionandbyusingmovingcoordinatesystem.Thestandingwavefunction,whichcansatisfythegoverningequationandboundarycondition,isprovided.Furthermore,numericalexamplesarepresented;theinfluencesofwavenumberandangleoftheincidentwavesandtheangleofthehill'speakongroundmotionarediscussed.
简介:Inthisstudy,thenull-fieldboundaryintegralequationmethod(BIEM)andtheimagemethodareusedtosolvetheSHwavescatteringproblemcontainingsemi-circularcanyonsandcirculartunnels.Tofullyutilizetheanalyticalpropertyofcirculargeometry,thepolarcoordinatesareusedtoexpandtheclosed-formfundamentalsolutiontothedegeneratekernel,andtheFourierseriesisalsointroducedtorepresenttheboundarydensity.Bycollocatingboundarypointstomatchboundaryconditionontheboundary,alinearalgebraicsystemisconstructed.Theunknowncoefficientsinthealgebraicsystemcanbeeasilydetermined.Inthisway,asemi-analyticalapproachisdeveloped.Followingtheexperienceofnear-trappedmodesinwaterwaveproblemsofthefullplane,thefocusingphenomenonandnear-trappedmodesfortheSHwaveproblemofthehalf-planearesolved,sincethetwoproblemsobeythesamemathematicalmodel.Inthisstudy,itisfoundthattheSHwaveproblemcontainingtwosemi-circularcanyonsandacirculartunnelhasthenear-trappedmodeandthefocusingphenomenonforaspecialincidentangleandwavenumber.Inthissituation,theamplificationfactorfortheamplitudeofdisplacementisover300.
简介:Inthispaper,ananalyticmethodisdevelopedtoaddresssteadySH-wavescatteringandperformdynamicanalysisofmultiplecircularcavitiesinhalfspace.ThescatteredwavefunctionusedforscatteringofSH-wavesbymultiplecircularcavities,whichautomaticallysatisfiesthestress-freeconditionatthehorizontalsurface,isconstructedbyapplyingthesymmetryoftheSH-wavescatteringandthemethodofmulti-polarcoordinatessystem.Applyingthisscatteredwavefunctionandmethodofmovingcoordinates,theoriginalproblemcanbetransformedtotheproblemofSH-wavescatteringbymultiplecircularcavitiesinthefullspace.Finally,thesolutionoftheproblemcanbereducedtoaseriesofalgebraicequationsandsolvednumericallybytruncatingtheinfinitealgebraicequationstothefiniteones.Numericalexamplesareprovidedforcasewithtwocavitiestoshowtheeffectofwavenumber,andthedistancesbetweenthecentersofthecavitiesandfromthecenterstothegroundsurfaceonthedynamicstressconcentrationaroundthecavityimpactedbyincidentsteadySH-wave.
简介:AnanalyticalsolutionforscatteringofincidentSHwavesbyacircular-archillwithaconcentriccirculartunnelwasderivedbyFourier-Besselseriesexpansionandauxiliaryfunctionstechnique.Thesolutionisreducedtosolvingasetofinfinitelinearalgebraicequationsfinally.Theaccuraciesofthenumericalresultsarecheckedbytheresidualerrorsofboundaryconditionswiththetruncationorderincreasing.Thenumericalresultsshowthattheexistenceanddimensionofthetunnelhavegreateffectonmotionofthegroundsurfacenearbyanddynamicstressconcentrationofthetunnel.
简介:Thispaperpresentsaclosed-formsolutionfordiffractionofplaneSHwavesbyasemi-circularcavityinhalf-spacebyusingwavefunctionexpansionmethod.Accuracyofthesolutionischeckedbythedisplacementresidualandstressresidualalongtheboundaries.Numericalresultsshowthattherearenotabledifferencesforresponseamplitudesbetweenasemi-circularcavityandawhole-circularcavityinahalf-space.
简介:由地志的特征散布飞机嘘波浪在一分层横着各向同性(TI)一半空间被使用一个间接边界元素方法(IBEM)调查。第一,反飞机分层的TI一半空间的动态僵硬矩阵被建立,免费的地被使用直接僵硬方法解决。然后,草地函数为在分层的TI一半空间对一根使倾向的线起作用的一致地分布式的负担被导出,散布的地与推出的草地函数被构造。最后,免费的地被加到散布的获得全球动态回答。方法被把结果与出版的各向同性的作比较验证。两个都,不变、短暂的动态回答被评估并且讨论。在频率领域的数字结果证明为TI媒介的表面运动能与为各向同性的案例的那些显著地不同,它强烈依赖于anisotropy性质,事件角度和事件频率。在时间领域的结果证明材料anisotropy在最大的持续时间和时间历史的最大的振幅上有重要效果。
简介:Thispaperpresents2.5DscatteringofincidentplaneSHwavesbyacanyoninlayeredhalf-spacebytheindirectboundaryelementmethod(IBEM).Thefreefieldresponseiscarriedouttogivethedisplacementsandstressesonthelinewhichformsboundaryofthecanyon.ThefictitiousuniformmovingloadsareappliedtothesamelinetocalculatetheGreen'sfunctionsforthedisplacementsandstresses.Theamplitudesoftheloadsaredeterminedbytheboundaryconditions.Thedisplacementsduetothefreefieldandfromthefictitiousuniformmovingloadshavetobeaddedtoobtainthewholemotion.Thenumericalresultsarecarriedoutforthecasesofacanyoninhomogenousandinonelayeroverbedrock.Theresultsshowthatthe2.5Dwavescatteringproblemisessentiallydifferentfromthe2Dcase,andthereexistdistinctdifferencesbetweenthewaveamplificationbyacanyoninlayeredhalf-spaceandthatinhomogeneoushalf-space.Thereasonsforthedistinctdifferenceareexplored,andtheeffectsofthethicknessandstiffnessofthelayerontheamplificationarediscussed.
简介:Theproblemonthedynamicresponseofarigidembeddedfoundationinthepresenceofanundergroundrigidtunnelandsubjectedtoexcitationofincidentanti-planeSHwavesisanalyzed.Byusingtheexactanalyticalsolutionforthetwo-dimensionalSH-wavepropagationinandaroundboththesurfacerigidfoundationandsubsurfacerigidtunnel,thoseaspectsoftheresultinggroundmotionsthatareofspecialinterestandimportanceforseismicresistantdesigninearthquakeanalyseshavebeenexamined.Thecomputedamplitudesoftheresultingperiodicgroundmotionsdisplayaverycomplicatedwave-interferencebetweenthesurfacefoundationandundergroundtunnelthatleadtoobservedstandingwavepatterns,togetherwithabruptchangesinthewaveamplitudesandlargeamplificationoftheincidentmotions.
简介:Wepresentaparallelhybridalgorithmbasedonpseudospectralmethod(PSM)andfinitedifferencemethod(FDM)fortwo-dimensional(2-D)globalSHwavefieldsimulation.Thewhole-EarthmodelistakenasacrosssectionofsphericalEarth,andcorrespondingwaveequationsaredefinedin2-Dcylindricalcoordinates.SpatialderivativesinthewaveequationsareapproximatedwithefficientandhighaccuracyPSMinthelateralandhigh-orderFDMintheradialdirectiononstaggeredgrids.Thisalgorithmallowsustodividethewhole-Earthintosub-domainsinradialdirectionandimplementefficientparallelcomputingonPCcluster,whileretainshighaccuracyandefficiencyofPSMinlateraldirection.Atransformationofmomenttensorbetween3-DsphericalEarthandour2-Dmodelwasproposedtogivecorrespondingmomenttensorcomponentsusedin2-Dmodeling.Comparisonofmodelingresultswiththoseobtainedbydirectsolutionmethodshowsverygoodaccuracyofouralgorithm.Wealsodemonstrateitsfeasibilitywithalateralheterogeneouswhole-Earthmodelwithlocalizedvelocityperturbation.
简介:Theearth’ssurfaceirregularitiescansubstantiallyaffectseismicwavesandinduceamplificationsofgroundmotions.Thisstudyinvestigateswhetherandhowthesourcecharacteristicsaffectthesiteamplificationeffects.Ananalyticalmodelofalinesourceofcylindricalwavesimpingingonanalluvialvalleyisproposedtolinkthesourceandsite.Theanalyticalsolutiontothisproblemprovesoneaspectofthestrongeffectofsourceonsiteamplification,i.e.,thewavecurvatureeffect.Itisfoundthatthesiteamplificationdependsonthesourcelocation,especiallyunderconditionsofasmallsource-to-sitedistance.Whetherthedisplacementisamplifiedorreducedandthesizeoftheamplificationorreductionmaybedeterminedbythelocationofthesource.Itissuggestedthattraditionalstudiesofsiteresponses,whichusuallyignorethesourceeffect,shouldbefurtherimprovedbycombiningthesourcewithsiteeffects.
简介:Thispaperstudiesthree-dimensionaldiffractionofobliquelyincidentplaneSHwavesbytwininfinitelylongcylindricalcavitiesinlayeredporoelastichalf-spaceusingindirectboundaryelementmethod.Theapproachisvalidatedbycomparisonwiththeliterature,andtheeffectsofcavityinterval,incidentfrequency,andboundarydrainageconditiononthediffractionarestudiedthroughnumericalexamples.Itisshownthat,theinteractionbetweentwocavitiesissignificantandsurfacedisplacementpeaksbecomelargewhentwocavitiesareclose,andthesurfacedisplacementmaybesignificantlyamplifiedbytwincavities,andtheinfluencerangewithlargeamplificationcanbeaswideas40timesofthecavityradius.Surfacedisplacementsindryporoelasticcaseandsaturatedporoelasticcaseswithdrainedandundrainedboundariesareevidentlydifferentundercertaincircumstances,andthedifferencesmaybemuchlargerthanthoseinthefree-fieldresponse.
简介:The2008Wenchuanearthquake,amajorintraplateearthquakewithMw7.9,occurredontheslowlydeformingLongmenshanfault.Tobetterunderstandthecausesofthisdevastatingearthquake,weneedknowledgeoftheregionalstressfieldandtheunderlyinggeodynamicprocesses.Here,wedeterminefocalmechanismsolutions(FMSs)ofthe2008Wenchuanearthquakesequence(WES)usingbothP-wavefirst-motionpolaritydataandSH/Pamplituderatio(AR)data.AsP-wavepolaritiesaremorereliableinformation,theyaregivenpriorityoverSH/PAR,thelatterofwhichareusedonlywhentheformerhaslooseconstraintontheFMSs.Wecollectdatafromthreecategories:(1)permanentstationsdeployedbytheChinaEarthquakeAdministration(CEA);(2)theWesternSichuanPassiveSeismicArray(WSPSA)deployedbyInstituteofGeology,CEA;(3)globalstationsfromIncorporatedResearchInstitutionsforSeismology.Finally,129eventswithmagnitudeoverMs4.0inthe2008WESareidentifiedtohavewell-constrainedFMSs.Amongthem,83arewellconstrainedbyP-wavepolaritiesonlyasshownbyCaietal.(EarthqSci24(1):115–125,2011),andtherestofwhicharenewlyconstrainedbyincorporatingSH/PAR.BasedonthespatialdistributionandFMSsoftheWES,wedrawfollowingconclusions:(1)theprinciplecompressionaldirectionsofmostFMSsoftheWESaresubhorizontal,generallyinagreementwiththeconclusiongivenbyCaietal.(2011)butwithafewmodificationsthatthecompressionaldirectionsareWNW–ESEaroundWenchuanandENE–WSWaroundQingchuan,respectively.ThesubhorizontalcompressionaldirectionalongtheLongmenshanfaultfromSWtoNEseemstohavealeftlateralrotation,whichagreeswellwithregionalstressfieldinvertedbyformerresearchers(e.g.,Xuetal.,ActaSeismolSin30(5),1987;ActaGeophysSin32(6),1989;Cuietal.,SeismolGeol27(2):234–242,2005);(2)theFMSsoftheeventsnotonlyreflectedtheregionalstressstateoftheLongmenshanregion,butalsowereobviouslycontrolledbythefaultstosomeextent,whichwaspointedou
简介:Therehavebeen12possiblelocationsoftheearthquakesoccurringintheSouthYellowSeasince1505.Inthispaper,thelocationoftheearthquakethatoccurredin1505hasbeendeterminedbythecollectionofmorehistoricaldataoftheinfluencedfield,referringtheisoseismaldataofearthquakeswiththeepicentralintensityⅨandcombininggeophysicalfielddatawithtectoniccondition,duetoitsgreatinfluenceonseismicsafetyassessmentofsomesignificantengineering.
简介:ThedistributionoftheintensityoftheMojiangMS5.9earthquakeinYunnanProvinceisexpounded,andthedamagecharacteristicsofbuildingsandthedamageratioandseismicdamageindexofvariousbuildingstructuresineachintensityareaarecomparedwiththoseofTheChineseSeismicIntensityScale.Themainbasisandmethodofseismicintensityassessmentarediscussedinthispaper.Itisconcludedthat:①Theseismicintensityshouldbebasedontheearthquakedamageofthehousingstructure,whichtakesupahighratiointheseismicintensityassessment.Itisrecommendedthatseismicintensityisestimatedbycalculatingtheaverageseismicdamageindex.②ThehighestintensityoftheMojiangMS5.9earthquakeisVIIIdegrees,withthelongaxistrendinginthenorth-westdirection.TheareaaboveVIIdegreesis5,180km^2.③TheintensitydistributionoftheMojiangMS5.9earthquakemeetsthenationalstandardandthedistributionlawofseismicintensityinYunnan.