MATLAB在动力方程求解中的应用

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100426410(2006)0120074203MATLAB1,2,3(11,531400;21,530004;31,530004):,,,MATLABlsim,MATLAB:;MATLAB;lsim;:TP30116:A:2005212228:(19622),,,0,Wilsion2HNewmark2B,,[1]MATLAB,MATLAB(MatrixLaboratory),Mathworks1984,MATLAB(Toolbox),,,MATLAB1nF(t)RrMX(t)+CX(t)+KX(t)=DsF(t)(1),p,[2]:MX(t)+CX(t)+KX(t)=DsF(t)+BsU(t)(2),X,X,XRn,,;MCKRnn;URp,BsRnp,DsRnr;X(t0)X(t0)RnX(t)X(t)Z(t)=X(t)X(t)2n1(2),,,(2):171Vol117No1120063JOURNALOFGUANGXIUNIVERSITYOFTECHNOLOGYMar12006Z(t)=AZ(t)+BU(t)+DF(t)Z(t0)=Z0(3):Y(t)=C0Z(t)+B0U(t)+D0F(t)(4):A=0nnInn-M-1K-M-1C2n2n,B=0np-M-1Bs2np,D=0nr-M-1Ds2nr,Y(t)Rm;C0Rm2n;C0RmrB0Rmp,InnRnn;0(2),,Y(t)1(),(1),,BB0,,D0(1):Z=AX+DFX(t0)=X0Y=C0X(5)2lsimMATLABlsim[3,4]:[y,x]=lsim(a,b,c,d,u,t,x0)(6)xa=ax+bux(t0)=x0y=cx+du(7)x(t0)=x0;u,u;t,,lsimx0u,(LTI),lsim;,,(5)(6),:x=Z,y=Y,a=A,b=D,c=C0,d,u=F,t3MATLAB,F,lsim,;MATLAB(Taft)EL2Centro11571:MATLAB20102(:A=0125m2,I=010052m4,3m,5m)MATLAB2ANSYS3,MAT2LAB,4MAT2LABlsim,,,,Wilsion2QNewmark2B,()(ANSYS,3),,;,;,MATLAB3lsimANSYS:[1],,1MATLAB[J]1,2003,19(2):16821711[2]1[M]1:,20031[3]1[M]1:,20001[4],1Simulink[J]1,2004,24(4):35523621(80)67173,,42121314481855116012501560176716(%)31510121212:[1]1[M]1:,19961[2]1[M]1:,19931[3],,,1[M]1:,19961Applicationofartificialneuralnetworkmodeltosoil-nailwallsupportindeepfoundationpitZENGFan2jiang(NanningConstructionandInstallationEngineeringCo.Ltd,Nanning530011,China)Abstract:BPalgorithmofartificialneuralnetworkmodelandthatbasedongeneticalgorithmareapplied.Anexampleoftheirapplicationtosoil2nailwallsupportindeepfoundationpitisgivenandshowsthatthealgorithmispracticallyeffective.Keywords:deepfoundationpit;soil2nailwall;support;artificialneuralnetworkmodel()(76)ApplicationofMATLABinthesolutionofdynamicequationCAIShi2dong1,CAIZhao2xia2,ZHANGNi2ni2(1.ConstructAndInstallLimitedCompanyofPingguoAluminumGroup,Pingguo531400,China;2.CollegeofCivilEngineeringandArchitecture,GuangxiUniversity,Nanning530004,China)Abstract:Atpresent,thenumericalanalysismethodismainlyusedtosolvethedynamicequation.Itsworkontheprogrammingislarge,theprocessofcomputerislessefficientandtheaccuracyofresultsislessprecise.Thedynamicequationofthestructureunderexternalforcesuchasearthquakeisdescribedbythestate2spacemethod,andsimulateddynamicallybyusinglsimfunctioninMATLAB.ApracticalexampleisillustratedandshowsthatthesolutionofdynamicequationcanbeeffectivelyandmoreaccuratelyanalyzedbyMATLAB.Keywords:state2spacemodel;MATLAB;lsim;solutionofdynamicequation()0817

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