对我国住宅楼面活荷载概率模型的探讨-侯钢领

　　[4],P-Δ,,,,IDARCβ1、β2,γ。。5　IDARCIDARC,,,。6　IDARCH,。[1]　,,,.[J].,2005,(4).[2]　,,,.H:,200710071942.9[P].[3]　,.()[M].:,1998.[4]　,.[J].,2000,21(4).[]　2007-10-10[]　　(1977-),,,:。1,　2(1.,　　150001;　2.,　　　056003)　　【　】　。;,;,。【】　;;;;;【】　TU311　　　　　【】　B　　　　　【】　1001-6864(2008)01-0045-04DISCUSSONLIVELOADSTOCHASTICMODELOFCHINESEHOUSEBUILDINGHOUGang-ling1,　LEIGuo-qiang2(1.SchoolofCivilEngineering,HarbinEngineeringUniversity,Harbin150001,China;2.TheFirstConstructionCompanyofChineseMining,Handan056003,China)　　Abstract:ThispaperreportsthedifferenceinliveloadstatisticalmodelparameterofChinesehousebuildingwiththewestcountries.Firstly,thereasononliveloadsdifferenceisgiven.Secondly,theparameteronchineseliveloadisshownbycomparingmethod.Lastly,themaxliveloadoftimeisgivenbynumericalsimu-lationandtheequalexceedprobablityrule.Keywords:reliability;liveload;stochasticmodel;housebuilding;analogism;equalexceedprobablityrule[]　“”(2002BA806B-4);(50708023)0　。、,。,。,,。,,。,。,,[1]。,(,,1990[2]),。,,:(1)　。45:,19783.6m2,19793.7m2,19803.9m2,19814.12m2,19824.4m2,19844.77m2,。《2002》,200120.8m。。(2)　。,,。。(3)　。,。《2003》,2003()80.17%。,。,、、。,。,,。,,,。2　。,T,FL1(t),1。,T,FL2(t),2。,、。2.1　GB50096-1999《》:,、()、。,。,,()W=∑Ni=1niwi(1),W;wii;nii;N()。A,:　　　f1=WA(2)m,Wm:Wm=W/m=∑Ni=1niwim(3):f1=WmAm(4),Am。GBJ68-84《》,1980,0.504kNm20.162kNm2,3.9m2。《》Wm0.197kNm2。《ANSIASCE7-95》,0.29kNm20.12kNm2。20011.19,2.4,60m2。Wm17.4kNm2。,Wm。Wm,20m2。Wm20m2Wm6.4kNm2,0.32kNm2。σm,20m20.125kNm2。0.32kNm2、0.125kNm2I。105,469,7879.23m2,0.3968kNm2、0.1535kNm2。[4]。2.2　,McGuireCornell。()。[5]:E2=QNλ(5),Q;N();λA。McGuireCornellGamma46　　　　　20081(121)I,。μ[L2]=mQmNλA(6a)Vαr[L2]=λk[m2Qm2N=m2Nσ2Q+m2Qσ2N]A2(6b),mQ、mNQN,σQ、σNQN;Cornell:,k=2.04;,k=2.76;,k=2.2。,k=2.2。McGuireCornell。ChalkCorotismN=3、σN=2;νe=1、λ=1.72A-24.6;A。mQ=0.634、σQ=0.100。。3　3.1　T(JCSS),T。,。JCSS,,[1]:(1)　Trτ,τ=Tr。(2)　τ,p,q,p+q=1,pq。(3)　τ,,,。(4)　τ,τ。(2)(3),:FτL1m=maxt∈τ(FL1(t))(7)(1)(4),:FTL1m=maxt∈T(FL1(t))=max(FτL1m,FτL21m,…,FτLr1m,)(8)T,:PFTL1M(x)=P{FTL1m≤x}=P{FτL11m≤x}∩P{FτL21m≤x}…P{FτLr1m≤x}={1-p[1-PFL1(x)]}r(9),r;p,p=1;p[1-PFL1(x)],(9):PFTL1M(x)=exp{-pr[1-PFL1(x)]}(10a)PFTL1M(x)=[PFL1(x)]r(10b)(10)T。3.2　JCSS,。LT1=L1T+L2(11a)LT2=L1+L2T(11b),L1L1T;L2L2T。:LT=max[LT1,LT2](12)MonteCarlo。:(1)　15m2115m211,A=[15　25　35···115]。(2)　Ai,L10.32kNm20.125kNm2,r=5。MatLab1000000FL1FL1TL1iL1Ti。FL1(x)=exp{-exp[-a(x-μ)]}(13a)FL1T(x)=exp{-exp[-a(x-μT)]}(13b)βT=β+1nna;n=Tτ=5;α=1.2825Var(L);β=m-0.57722a;m。(3)　L2L2T1000000。(4)　(12)1000000LTi。,AiμLTi(x)σLTi(x)。(5)　(2)～(4),AiμLTi(x)、σLTi(x),1。,。　1kNm2　18.525354555657585951051151.551.541.401.291.201.131.071.030.990.960.930.260.250.220.190.170.160.150.150.140.140.13,。mLmax=0.504+4.95A(14a)σLmax=0.035+1.04A(14b),mLmax;σLmax。4　4.1　,。、2。,。、;,。47:　2　　τυeT0.2900.1200.2900.320101.0501.82—0.2900.1200.2900.32021.0501.72—()0.5040.1620.4680.252100.1501.020.302()0.3200.1250.2780.303101.0501.550.260　:18.58m2;τ(:);υe(:);T(:);:kNm2。4.2　[3]。,:。、、[4]。:ISO2394。(GB50068-2001),3。,50,。,50。,,m。(4)。　　3/152253504100　　4///(kN·m-2)/(kN·m-2)　1551.051.190.260225252.5251.420.255350505.0501.550.2654100100101001.690.277　　(GB50068-2001)Lk=2.0kNm2,503.16,99.0%。,45、25、50、1001.996、2.21、2.37、2.55kNm2。5　。———,,。:(1)　。,McGuireCornell,JCSS,。(2)　(GB50068-2001),。[1]　PLChalk,RBCorotis.Probabilitymodelfordesignliveloads[J].Jou-rnalofstructuraldivision.AmericansocietyofCivilEngineers,1980,106:2017-2033.[2]　,,,.[M].:,1990.[3]　,.[R].:,2001.[4]　.[R].:,,2005.[5]　.[D].:,1996.[]　2007-10-12[]　(1973-),,,,,。48　　　　　20081(121)