71 lines
2.4 KiB
Mathematica
71 lines
2.4 KiB
Mathematica
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%**************************************************************************
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function [U]=PlaneTrussFEA(x,y,ele,Load,Constr,Scale)
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Dofs=3*size(x,2); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɶ<EFBFBD><EFBFBD><EFBFBD>
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EleCount=size(ele,1); %<EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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K=zeros(Dofs,Dofs); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>նȾ<EFBFBD><EFBFBD><EFBFBD>
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F=zeros(Dofs,1); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>غ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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U=zeros(Dofs,1); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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BarLength=BarsLength(x,y,ele);
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figure('Name','Undeformed Truss')
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RenderFrame(ele,Load,Constr,x,y,U,1,'-k',1) %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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figure('Name','Deformed Truss')
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RenderFrame(ele,Load,Constr,x,y,U,0.5,'-k',1) %<EFBFBD><EFBFBD><EFBFBD>Ʊ<EFBFBD><EFBFBD>κ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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hold on
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>е<EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>ն<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֿ<EFBFBD><EFBFBD><EFBFBD>װ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ն<EFBFBD><EFBFBD><EFBFBD>
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for iEle =1:EleCount
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%<EFBFBD>õ<EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD>ı<EFBFBD><EFBFBD><EFBFBD>
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n1=ele(iEle,2);n2=ele(iEle,3);
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>任<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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R=CoordTransform([x(n1) x(n2)],[y(n1) y(n2)],BarLength(iEle));
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%<EFBFBD><EFBFBD><EFBFBD>㵥Ԫ<EFBFBD>նȾ<EFBFBD><EFBFBD><EFBFBD> Ke=R'*ke*R;<EFBFBD>ֲ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD>µĵ<EFBFBD>Ԫ<EFBFBD>ն<EFBFBD><EFBFBD><EFBFBD>ת<EFBFBD><EFBFBD>Ϊȫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>µĵ<EFBFBD>Ԫ<EFBFBD>ն<EFBFBD><EFBFBD><EFBFBD>
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ke= FrameElementKe(ele(iEle,4),ele(iEle,5),ele(iEle,6),R,BarLength(iEle));
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>նȷֿ<EFBFBD><EFBFBD><EFBFBD>װ<EFBFBD><EFBFBD><EFBFBD>ܸ<EFBFBD><EFBFBD><EFBFBD>Ӧλ<EFBFBD><EFBFBD>
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eleDof=[n1*3-2:n1*3,n2*3-2:n2*3];
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K(eleDof,eleDof)=K(eleDof,eleDof)+ke;
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end
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%<EFBFBD>γ<EFBFBD><EFBFBD>غ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>--1<EFBFBD><EFBFBD>2<EFBFBD><EFBFBD>3<EFBFBD><EFBFBD>4<EFBFBD><EFBFBD><EFBFBD>ɶȸ<EFBFBD><EFBFBD>غ<EFBFBD>ֵ
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for LoadNum=1:size(Load,1)
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for i=1:3
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F(3*Load(LoadNum)+i-3,1)=Load(LoadNum,i);
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end
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end
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%ʩ<EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>--<EFBFBD>˴<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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for iConstr=1:size(Constr,1)
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for j=1:3
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if ~isnan(Constr(iConstr,j))
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K(3*Constr(iConstr,1 )+j-3,3*Constr(iConstr,1 )+j-3)=...
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1e12*K(3*Constr(iConstr,1 )+j-3,3*Constr(iConstr,1 )+j-3);
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F(3*Constr(iConstr,1)+j-3)=1e12*Constr(iConstr,j)*...
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K(3*Constr(iConstr,1 )+j-3,3*Constr(iConstr,1)+j-3);
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end
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end
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end
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U=K\F; %ȫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>,<EFBFBD>˴<EFBFBD>ԭ<EFBFBD><EFBFBD>Ϊ<EFBFBD>浫<EFBFBD>Ǿ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>죬<EFBFBD>ʸij<EFBFBD>α<EFBFBD><EFBFBD>
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for iEle =1:EleCount
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˾ֲ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>µ<EFBFBD>λ<EFBFBD><EFBFBD>
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n1=ele(iEle,2);n2=ele(iEle,3);
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R=CoordTransform([x(n1) x(n2)],[y(n1) y(n2)],BarLength(iEle));
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localU = R*[U(3*n1-2:3*n1,1);U(3*n2-2:3*n2,1)];
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[Ke_local] = FrameElementKeLocal(ele(iEle,4),ele(iEle,5),ele(iEle,6),R,BarLength(iEle))
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EleForce(:, iEle)=Ke_local*localU; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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end
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD>ƣ<EFBFBD>Ӧ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ı<EFBFBD><EFBFBD>ļ<EFBFBD>
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% fp=fopen('Result.txt','a');
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% str = [char(13,10)','U',' ',num2str(U'),char(13,10)','Stress',' ',...
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% num2str(Stress),char(13,10)','AxialForce',' ',num2str(AxialForce)];
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% fprintf(fp,str);
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% fclose(fp);
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RenderFrame(ele,Load,Constr,x,y,U,1,'-.b',Scale) %<EFBFBD><EFBFBD><EFBFBD>Ʊ<EFBFBD><EFBFBD>κ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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% figure
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% AxisForcePlot(ele,Load,Constr,x,y,U,3,'-b',Scale,AxialForce)%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͼ
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end %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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