44 lines
1.6 KiB
Mathematica
44 lines
1.6 KiB
Mathematica
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function [uu,vv,aa,ttt]=NewmarkBeta1(t,dt,delta,beta,M,C,K,acc_x,Constr)
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n=length(t);
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beta=0.25;
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gamma=0.5;
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a0=1/(beta*dt^2);
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a1=gamma/(beta*dt);
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a2=1/(beta*dt);
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a3=1/(2*beta)-1;
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a4=gamma/beta-1;
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a5=(dt/2)*(gamma/beta-2);
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a6=dt*(1-gamma);
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a7=dt*gamma;
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uu(:,1)=zeros(size(M,1),1);;%λ<EFBFBD>Ƴ<EFBFBD>ʼֵ
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vv(:,1)=zeros(size(M,1),1);%<EFBFBD>ٶȳ<EFBFBD>ʼֵ
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aa(:,1)=zeros(size(M,1),1);%<EFBFBD><EFBFBD><EFBFBD>ٶȳ<EFBFBD>ʼֵ
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P(:,1)=zeros(size(M,1),1); %<EFBFBD><EFBFBD><EFBFBD>س<EFBFBD>ʼֵ
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P1(:,1)=zeros(size(M,1),1);%<EFBFBD><EFBFBD>Ч<EFBFBD><EFBFBD><EFBFBD>س<EFBFBD>ʼֵ
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% I=ones(size(M,1),1);; %6*1<EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>
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I=zeros(size(M,1),1);; %6*1<EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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for i=1:size(K,1)/3
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I(3*(i-1)+1)=1;%ȷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʩ<EFBFBD>ӵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɶ<EFBFBD>
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end
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K1=K+a0*M+a1*C; %<EFBFBD>γɵ<EFBFBD>Ч<EFBFBD>նȾ<EFBFBD><EFBFBD><EFBFBD>
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for i=1:n-1
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P(:,i+1)=-M*I*acc_x(i+1);%t(i+1)ʱ<EFBFBD>̽ṹ<EFBFBD>ĺ<EFBFBD><EFBFBD><EFBFBD>
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P1(:,i+1)=P(:,i+1)+M*(a0*uu(:,i)+a2*vv(:,i)+a3*aa(:,i))+C*(a1*uu(:,i)+a4*vv(:,i)+a5*aa(:,i));%t(i+1)ʱ<EFBFBD>̽ṹ<EFBFBD>ĵ<EFBFBD>Ч<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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% % %ʩ<EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>--<EFBFBD>˴<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>;<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ṹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ĸնȾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫʩ<EFBFBD>ӱ߽<EFBFBD>Լ<EFBFBD><EFBFBD>
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% for iConstr=1:size(Constr,1)
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% for j=2:4
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% if ~isnan(Constr(iConstr,j))
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% K1(3*Constr(iConstr,1 )+j-4,3*Constr(iConstr,1 )+j-4)=...
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% 1e12*K1(3*Constr(iConstr,1 )+j-4,3*Constr(iConstr,1 )+j-4);
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% P1(3*Constr(iConstr,1)+j-4)=Constr(iConstr,j)*...
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% K1(3*Constr(iConstr,1 )+j-4,3*Constr(iConstr,1)+j-4);
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% end
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% end
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% end
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uu(:,i+1)=(K1)\P1(:,i+1);%t(i+1)ʱ<EFBFBD>̽ṹ<EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>
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aa(:,i+1)=a0*(uu(:,i+1)-uu(:,i))-a2*vv(:,i)-a3*aa(:,i);%t(i+1)ʱ<EFBFBD>̽ṹ<EFBFBD>ļ<EFBFBD><EFBFBD>ٶ<EFBFBD>
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vv(:,i+1)=vv(:,i)+a6*aa(:,i)+a7*aa(:,i+1);%t(i+1)ʱ<EFBFBD>̽ṹ<EFBFBD><EFBFBD><EFBFBD>ٶ<EFBFBD>
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ttt(i+1)=dt*(i-1);
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end
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