58 lines
1.2 KiB
Mathematica
58 lines
1.2 KiB
Mathematica
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clear all;close all;clc;
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EI=1;
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L=1;%<EFBFBD>˼<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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Ele_L=0.01;%<EFBFBD><EFBFBD>Ԫ<EFBFBD>ߴ<EFBFBD>
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ele_num=L/Ele_L;%<EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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for i=1:ele_num
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ke(:,:,i)=BeamElementStiffness(EI,Ele_L);
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end
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K=zeros((ele_num+1)*2);
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for i=1:ele_num
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K=BeamAssemble(K,ke(:,:,i),i,i+1); %ȫ<EFBFBD>ָնȾ<EFBFBD><EFBFBD><EFBFBD>
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end
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k=[K(3:(ele_num+1)*2,3:(ele_num+1)*2)]; %***ȥ<EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӧ<EFBFBD>ĸնȾ<EFBFBD><EFBFBD><EFBFBD>
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f=zeros(2*(ele_num),1); %<EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD>f
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for i=1:ele_num
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f(2*(i-1)+1)=1*Ele_L;%****<EFBFBD>ֲ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>СΪ1*<EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD>Ⱦ<EFBFBD><EFBFBD><EFBFBD>ÿ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>ڵ<EFBFBD><EFBFBD>ϵĽڵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ת<EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD>
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end
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u=k\f;
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U=zeros((ele_num+1)*2,1);%<EFBFBD>ڵ<EFBFBD>λ<EFBFBD><EFBFBD>
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U(3:(ele_num+1)*2)=u;%
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for i=1:ele_num
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Fe(i,:)=ke(:,:,i)*U((i-1)*2+1:(i-1)*2+4); %<EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD>=<EFBFBD><EFBFBD>Ԫ<EFBFBD>նȾ<EFBFBD><EFBFBD><EFBFBD>*<EFBFBD>ڵ<EFBFBD>λ<EFBFBD><EFBFBD>
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end
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% F=K*U; %ȫ<EFBFBD>ָնȾ<EFBFBD><EFBFBD><EFBFBD>*<EFBFBD>ڵ<EFBFBD>λ<EFBFBD><EFBFBD>=<EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD>
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figure;
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x = [0 : Ele_L:L]';
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M=Fe(:,2);
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M(ele_num+1)=-Fe(end,4);
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hold on;
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title('Bending Moment Diagram');
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plot(x,M);
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y1 = zeros(1,ele_num+1);
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plot(x,y1,'k')
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xlabel('length')
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ylabel('Moment')
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title('moment diagram with constant thickness');
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figure;
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hold on;
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title('Displacment Diagram');
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for i=1:length(x)
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disp_plot_constant(i)=U(2*(i-1)+1);
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end
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plot(x,disp_plot_constant);
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figure;
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hold on;
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title('Rotation Diagram');
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for i=1:length(x)
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rot_plot_constant(i)=U(2*(i));
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end
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plot(x,rot_plot_constant);
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save data disp_plot_constant
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