古建筑木结构直榫节点力学模型的研究

322Vol.32No.220152Feb.2015ENGINEERINGMECHANICS82———————————————2013-08-072014-05-16(KLUAHC1008)(2010-ZD-4)(1977)(E-mail:[e-mail]).(1986)(E-mail:[e-mail])(1989)(E-mail:[e-mail])(1988)(E-mail:[e-mail]).1000-4750(2015)02-0082-081,21,311(1.6100312.6100313.100013)M-θM-θM-θTU366.5Adoi:10.6052/j.issn.1000-4750.2013.08.0728STUDYONMECHANICALMODELOFSTRAIGHT-TENONJOINTSINANCIENTTIMBERSTRUCTURESPANYi1,2,WANGChao1,3,TANGLi-na1,LILing-jiao1(1.DepartmentofCivilEngineering,SouthwestJiaotongUniversity,Chengdu,Sichuan610031,China;2.KeyLaboratoryofTransportationTunnelEngineering,MinistryofEducation,SouthwestJiaotongUniversity,Chengdu,Sichuan610031,China;3.ChinaAcademyofBuildingResearch,Beijing100013,China)Abstract:Straight-tenonjointsinancienttimberstructuresinsouthwesternChinausingcolumnandtieconstructionarestudied.Theirmechanicalbehaviorunderlow-cyclereversedloadingisanalyzedindetail,andanM-θmechanicalmodelconsideringtheeffectofpull-tenoncapacityofjointsisproposed.Experimentaldataareemployedtovalidatethenewmechanicalmodel,anditdemonstratesthatresultsfromtheproposedmodelareingoodagreementwiththosefromexperiments.Hence,theproposedmechanicalmodelwilldefinitelyplayaroleintheoreticalanalysesoftheseismicperformanceandreinforcementofChineseancienttimberstructures.Keywords:ancienttimberstructure;mechanicalbehavior;mortise-tenonjoint;straighttenon;M-θmechanicalmodal50%[1][23]83[4]KishiChen[5]-[6]M-θ11.1[7]---1[89],90cchccEf000cccu(1)σcεcfc,90ε0fc,90εcufc,90Ehcu1Fig.1Doublelineconstitutivemodelofcompressionperpendiculartothegrain1.2M-1.2.1[1012][13]θδ00[14]σδkaE(2)kaE1.2.21)2hlδ0θLs1Ls2hs1hs2ROO2Fig.2Diagramofcompletestraightmortisenode3abcδaδbδc84mambmcxaxbxcbs2021()cossinasssxLhRL(3)22tancossaashxh211tancossahx1asxRL(4)1022()sincosasssLhh1asxRL(5)211tansintanaasamhx1asxRL(6)tantanaaam1asxRL(7)1121tan()1cosbSssLhhh(8)tanbbbmx11211()sintantanssshLhh(9)112cos()sincsssLhh01cosslL(10)tantancccm(11)120()(1cos)sincssxhh(12)δaδbδcOmcxcxb=mbbcxamaa1asxRL3Fig.3Diagramofnodedeformationunderforwardloading4121tan1cosassLh(13)1211tansintanaaassmxLh(14)201()cosbssxLRL(15)tanbbxh1bsxRL(16)tantanbbbhmx1bsxRL(17)tantanbbbm1bsxRL(18)1bsxRL4Fig.4Diagramofnodedeformationunderreverseloading2)[1516]5NaNbNcfafbfcya1yb1yc1212()asbsscMfhfhhfl111aabbccNyNyNy(19)212()asbsscMfhfhhfl111aabbccNyNyNy(20)5Fig.5Forwardloadingstate856ya2yb2yc2222asbaabbMfhfhNyNy(21)222asbaabbMfhfhNyNy(22)6Fig.6Reverseloadingstate3)-fμ[17]ba)abckakbkcbs4)12bbsbbNmbk(23)1113bsbyLm(24)abcμ12bbbsbbfNmbk(25)b)abcδa1δb1δc1ma1mb1mc1ma2mb2mc2,9011cbbbbbbbfmmmk(25)1,90112bscbNbfm(26)2,902bscbNbfm(27)12,90121(2)2bbbscbbNNNbfmm(28)xcb2,90,901132cbbcbbcbbfkxmfk(29)yb111bscbyLx(30)21)bsLs1Ls2hs1hs2Rkfc,90EhfcEcs2)δ0[14]δ00111(1)nssjjjjjkskmm(31)smjjΔjjδ0,δ0θ001cosaa(32)86a0a13)M1)2)(19)~(22)θ4)M-θ3)M-θ3[10][10]3.1[10]GB50005-200[6]k[14]kka=kb=6N/mm3kc=58N/mm31)1(31)[10](32)a0a12.3929×1032.3928×103θ(32)71Tab1Straighttenongeometricandmechanicalparameterssb/mmhs1/mmhs2/mmLs1/mmLs2/mmR/mmh/mml/mmfc,90/MPaEh/MPaμ601801001001502101()1()2.99000.47Fig.7Relationshipbetweentenonpull-outdistanceandanglecosine3.2[10]8-[10]8Fig.8Comparisonofmechanicalmodelskeletoncurveandtestcurve9abcababcc879Fig.9Contributionofeachcompressivezonetobendingmoment41)θ0abcθ0(8)1121tan()10cosbsssLhhh(33)θ0θ0(19)θ0M02)θyaθy,90aackf(34)(4)(34)θyθy(19)θyMy3)θuaθuδuuu(35)(35)22tancosusuashxh211tancossahx(36)αθuc0θθ0322tan[23]6saasabkMxhx(37)θ0θθy32122tan3tanasaxhx(38)322112tan3()ssLLh(39)2312113()(tan2)sssshhLhL(40)123()6sabkM(41)θyθθu,901222()aacsscaakfhLxk(42),9021122[()]bbcscbssbkfLxhhk(43),9012()2tanscbfM(44)1asxRL1211()sincossshh2,90,901132caacaacaafkxmfk2,90,901132cbbcbbcbbfkxmfkM-θM-θ10abc1[10]881110M-θFig.10M-θtrilinearmodelforstraight-tenonjoints11M-θFig.11ComparisonofM-θsimplifiedcurveandtestcurve5M-θ1)M-θ2)3)[1].[M].:,1992:5865.WangTian.Staticaalysisonacienttmbersructures[M].Beijing:CulturalRelicsPublishingHouse,1992:5865.(inChinese)[2],,,.[J].,2012,28(7):103106.PanYi,WangChao,JiChenlon,ZhaoShichun.InvestigationandanalysisofseismicdamageforChineseancienttimberbuildingsinWenchuanEarthquake[J].BuildingScience,2012,28(7):103106.(inChinese)[3],,,.7.0[J].,2014,34(1):140146.PanYi,TangLina,WangHuiqin,YaoYunyi.InvestigationandanalysisofdamagetoancientbuildingsinLushanMs7.0earthquake[J].JournalofEarthquakeEngineeringandEngineeringVibration,2014,34(1):140146.(inChinese)[4],,.[J].,2006,23(10):168173.YaoKan,ZhaoHongtie,GeHongpeng.Experimentalstudiesonthecharacteristicofmortise-tenonjointinhistorictimberbuildings[J].EngineeringMechanics,2006,23(10):168173.(