简介:Theproblemonthedynamicresponseofarigidembeddedfoundationinthepresenceofanundergroundrigidtunnelandsubjectedtoexcitationofincidentanti-planeSHwavesisanalyzed.Byusingtheexactanalyticalsolutionforthetwo-dimensionalSH-wavepropagationinandaroundboththesurfacerigidfoundationandsubsurfacerigidtunnel,thoseaspectsoftheresultinggroundmotionsthatareofspecialinterestandimportanceforseismicresistantdesigninearthquakeanalyseshavebeenexamined.Thecomputedamplitudesoftheresultingperiodicgroundmotionsdisplayaverycomplicatedwave-interferencebetweenthesurfacefoundationandundergroundtunnelthatleadtoobservedstandingwavepatterns,togetherwithabruptchangesinthewaveamplitudesandlargeamplificationoftheincidentmotions.
简介:Forthedynamicsofarigidbodywithafixedpointbasedonthequaternionandthecorrespondinggeneralizedmomenta,adisplacement-basedsymplecticintegrationschemefordifferential-algebraicequationsisproposedandappliedtotheLagrange’sequa-tionsbasedondependentgeneralizedmomenta.Numericalexperimentsshowthatthealgorithmpossessessuchcharactersashighprecisionandpreservingsysteminvariants.Moreimportantly,thegeneralizedmomentabasedLagrange’sequationsshowuniquead-vantagesoverthetraditionalLagrange’sequationsinsymplecticintegrations.
简介:Accordingtothelower-boundtheoremoflimitanalysistheRigidFiniteElementMeth-od(RFEM)isappliedtostructurallimitanalysisandthelinearprogrammingsforlimitanalysisarededucedinthispaper.Moreover,theThermo-ParameterMethod(TPM)andParametricVariationalprinciples(PVP)areusedtoreducethecomputationaleffortwhilemaintainingtheaccuracyofsolutions.Abettersolutionisalsoobtainedinthispaper.
简介:地球作为triaxial被花僵硬身体,它在欧几里得的空格自由地旋转。开始的方程是Euler动态方程,与比比C的B和esmaller小的A。Euler方程被解决,并且数字结果被提供。在计算,下列参数被使用:(C~B)/A=0.00327353;(B-A)/C=0.00002196;(C-A)/e=0.00329549,并且地球的旋转的吝啬的尖速度,co=0.00007292115rad/s。计算证明除地球和它的旋转的免费Euler行列的自我旋转以外,那在那里存在免费点头:在theEarth的片刻的旋转轴和周期性地随着时间变化的吝啬的轴之间的点头角度,或角度。免费点头被调查。
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简介:Inthepresentpaper,afour-stageperforationmodelthataccuratelypredictstheresidualvelocityisdevelopedbyadoptinganenergymethod.Thefourstagesareplugformation,dishingformation,petalformationandprojectileexit.Inaddition,someimportantexperimentalresultsarepresentedandanalyzedtovalidatethepresentperforationmodel.Intheexperiments,highspeedcamerasystemisusedtorecordtheperforationprocess.Observationsontargetdamageandmeasurementsofinitialvelocitiesandresidualvelocitieswiththeaidofthesystemarepresented.Numericalsimulationsarecarriedoutforprojectilesagainstsingleandlayeredplatesadoptedintheexperiments.Theperforationprocessisstudiedandthedeformationandfailuremodesareobtained.Thepredictionsofnumericalsimulationsandanalyticalmodelarefoundinreasonablygoodagreementwiththoseofexperiments,andcanbeusedtopredicttheballisticlimitandresidualvelocityofstiffenedplatesperforatedbyrigidprojectiles.
简介:LetM(2)bethegroupofrigidmotionsoftheplane.TheFouriertransformandthePiancherelformulaonM(2)canbeexplicitlygivenbythegeneralgrouprepresentationtheory.Usingthisfact.weestablishakindofuncertaintyprincipleonM(2).Theresultcaneasilybegeneralizedtohigherdimensionalcases.AnapplicationoftheresultyieldsanuncertaintyprincipleontheEuclideanspacesobtainedbyR.S.Strichartz.
简介:RigidFiniteElementMethod(RFEM)wasproposedtosimulatethemechanicalbehaviorofdiscontinuousstructuressuchasrockandsoilstructures.Theauthors’workonthetheoryandapplicationsofRFEMissummarizedinthispaper.BasedonthetheoryofRFEM,theElasticBody-SeamsModel(EBSM)isproposedtotakethedeformationanddamageofrockmassesintoaccount.