地铁运行所致建筑物振动的传播规律分析

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©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:,,:20082012031,2222(1.,200072;2.,200092):,,,,,,,Z:;;;;:O327:A:10002131X(2009)0520033207Subway2inducedbuildingvibrationanditspropagationWangTianyou1,2DingJiemin2LouMenglin2YuJieqin2(1.ShanghaiWeizhiProjectManagementCo.,Ltd.,Shanghai200072,China;2.TongjiUniversity,Shanghai200092,China)Abstract:AccordingtothevibrationtestdatafromasitenearthesubwaylineNo.1inShanghai,theenvironmentalvibrationleveliscomparedwiththecodelimitandtheattenuationofthevibrationatvariousfrequenciesisanalyzed.Thevibrationattenuationina32Dbuildingmodelisanalyzedbyusingasinglesupportexcitationmethod,withtheaccelerationinputfromthebasement.Thegeneralpatternsofvibrationdispersioninbuildingsandthefrequencychangearediscussed.Itisconcludedthatvibrationincreaseswiththefloorlevelinamulti2storybuilding.Usinga32Dbenchmarkbuildingmodel,twodifferentmethods,thelargemassmethod(LMM)andtherelativemovemethod(RMM),formultiplesupportexcitationofbaseinputarecompared.Thevalidityandapplicabilityofthelargemassmethodformultiplesupportexcitationsareverified.Theenvironmentalvibrationdistributioninalargescaleplanebuildingisanalyzedbyusingthelargemassmethodformultiplesupportexcitations,anditisfoundthatthevibrationlevelinthebuildingbyusingthemultiplesupportexcitationmethodismuchsmallerthanthatbyusingthesinglesupportexcitationmethod.Keywords:subway;vibration;building;multiplesupportexcitation;largemassmethodE2mail:wtytj_2001@163.com,,,,,[1],1016mZ8688dB,(GB1007088),,Hao[2],,,,,10dB,,,,©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,,,,[3],,1,;,,,,,,,50m,,7I21I27,1,I21K2,(x)(y)(z)2000Hz,200Hz,180Hz2I21,4080Hz,1020Hz,1020Hz,1/3(VAL)[4]1/33,(GB/T503552005),,80dB,,50Hz63Hz;10Hz2060dB,4080Hz,,,4,Z7075dB,50m65dB,Z,©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,Z,4Fig.4Attenuationofaveragegroundvibrationinthreedirections2,,,,,,,,,,,,,,2.1,,[5],[5]Ms00Mbysyb+CsCsbCTsbCbysyb+KsKsbKTsbKbysyb=0Fb(1),ys,ys,ys;Ms,Cs,Ks;yb,yb,yb;Mb,Cb,Kb;Fb,ysyb=uds0+yssyb(2):yssyb,,KsKsbKTsbKbyssyb=0Fsb(3):Fsbyb,,Fsb=KTsbyss+Kbyb,,Fsb[6]yss(3)[6]yss=-K-1sKsbyb(4)(3)(1),(2)(4),Msuds+Csuds+Ksuds=MsK-1sKsbyb+(CsK-1sKsb-Csb)yb(5),uds,(2),ys,ysys2.2,,,[4],,,Z,5,6(),3.0(4.5)m,0.02[7],,,5Hz60Hz0.02580Hz0.0110.026C35,0.2,2.5t/m3,,:1.32m,1.5m©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,0.005s,10s,:x62.6dB,y63.6dB,z75.8dBSAP2000Newmark,612,763,8,Z7,Z,1020dB,Z;,,2,Z7Fig.7VariationsofvibrationlevelfortypicalpointsoffloorsinsouthclassroombuildingZ,27dB,Z[8]Z,110()Z,,;,7dB,Z,5dB1,,Z,Z1dB1ZTable1GeneralvariationofVLZalongverticalfloors(m)-4.203.06.09.012.015.0(dB)75.881.089.387.886.588.389.4(dB)75.874.273.473.376.274.375.3(dB)75.878.380.480.280.780.682.68,2z,3080Hz,1020Hz,,30Hz1530dB,[9],©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,Z6070dB,(GB1007088)70dB;65dB,,8Fig.8VerticalvibrationaccelerationFourierspectrumoftypicalobservationpoints3,,,,,,,,,,,[10],3.1(LMM)(RMM),:Mu+Cu+Ku=P(6),,,j,Pj,Pj=M0u0(7):M0(106),u0,[3]m11m1jm1nwmj1M0mjnwmn1mnjmnnu1ujun+c11c1jc1nwcj1cjjcjnwcn1cnjcnnu1ujun+k11k1jk1nwkj1kjjkjnwkn1knjknnu1ujun=P1M0u0Pn(8)jmj1u1++M0uj++mjnun+cj1u1++cjnun+kj1u1++kjnun=M0u0(9)jM0,uju0u0,3.2910[11212],17.5m[4]9Fig.9Crossprofileofbenchmarkbuilding10yx30%,x=16.2m,Z63.3dB,139m/s,©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,Newmark,Z2,,0.5dB;Z,2.4dBx=32.4m,,,2,x=16.2m63.3dB,0.5dB,1.0dB,,,,,2Z(dB)Table2ComparisonofVLZfortwomethodsx(m)071.773.584.374.887.175.485.216.262.364.382.166.384.367.583.032.453.171.682.465.683.366.882.3072.174.584.676.287.477.085.616.262.864.982.467.184.768.383.432.453.572.282.768.083.769.282.6,,,(x=32.4m)(x=0)18.6dB,,2dB;,9dB,,,Z90.8dB(),2Z87.4dB(),(71.7dB)(63.3dB),Z,,,Z,,3.311(),,,5m,84m,,,11Fig.11Modelofmiddleandnorthclassroombuilding,Z3[4]3ZTable3VLZattenuationofinputdataatcolumntoes(m)4.511.518.525.532.539.546.5Z(dB)68.767.063.963.861.759.560.2(m)53.560.567.574.581.588.5Z(dB)60.257.254.251.150.846.1ANSYS,,3.1s11,,Z4,,,©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,,Z15dB,(GB1007088),Z4Z(dB)Table4VLzinmiddleandnorthclassroombuildings66.669.469.371.565.165.567.667.969.772.172.576.067.970.572.272.174.378.482.783.080.076.081.381.375.390.391.994.484.078.888.388.54,:(1),4080Hz1012mZ7075dB,,(2),,1dB(3)Z,,[1],,,.[J].,2003,30(5):2062209(GuXiaoan,LiuXianzhang,LiuYang,etal.ThestatusquoofenvironmentvibrationlevelandcontrolmeasuresofsubwayinChina[J].RailwayOccupationalSafety,Health&EnvironmentalProtection,2003,30(5):2062209(inChinese))[2]HaoHong,AngTC,ShenJ.Buildingvibrationtotraffic2inducedgroundmotion[J].BuildingandEnvironment,2001,36(3):3212336[3],,.CFST[J].:,2005,29(5):7002

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