How can i calculate hysteresis loop area

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Arman Kam 2013-1-15

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/58815-how-can-i-calculate-hysteresis-loop-area

Hi, I want to calculate hysteresis loop area of a moment-curvature of a beam like below:

http://s1.postimage.org/volum9qu7/Capture.jpg

I wrote a simple code for calculating area but i have an issue that is how can i eliminate the interior areas (or substracting the interior area from total area in order to find the area of the surrounding branch which is equal to dissipated energy) due to interior branches of hysteresis loop that must be elminated?

the code is:

if true
  %HysLoop=csvread('Sample.csv');
c=HysLoop(length(HysLoop));
Energy=0;
for i=0:0.05:c
  if i~=c;
      if (abs((HysLoop(round(i/0.05+2),3))-abs(HysLoop(round(i/0.05+1),3)))/(abs(HysLoop(round(i/0.05+2),3))-abs(HysLoop(round(i/0.05+1),3))))>0
Energy=Energy+abs((HysLoop(round(i/0.05+2),3)+HysLoop(round(i/0.05+1),3))*(HysLoop(round(i/0.05+2),2)-HysLoop(round(i/0.05+1),2))/2);
      elseif (abs((HysLoop(round(i/0.05+2),3))-abs(HysLoop(round(i/0.05+1),3)))/(abs(HysLoop(round(i/0.05+2),3))-abs(HysLoop(round(i/0.05+1),3))))<0
          Energy=Energy-abs((HysLoop(round(i/0.05+2),3)+HysLoop(round(i/0.05+1),3))*(HysLoop(round(i/0.05+2),2)-HysLoop(round(i/0.05+1),2))/2);
      end
  end
end
end