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How to Calculate Area Between a Curve and Two Lines?

조회 수: 3(최근 30일)
shahin sharafi
shahin sharafi 2021년 8월 15일
댓글: shahin sharafi 2021년 8월 16일
Hi Everyone,
I am trying to calculate area (yellow area in attached figure) between curve and vertical and horizental axies lines. the code is provided as below. Could anyone help me?
Thank you in advance for you help.
Thank you,
clear all
clc
close all
%%
m=60;L=1;J=60;g=9.81;beta2=411.67;
KPb=2.15;KDb=0.75;
Time_Delay_Brain=0.19;
Time_Delay_Exo=0.05;
%%
for j=1:length(Time_Delay_Brain)
for jj=1:length(Time_Delay_Exo)
if Time_Delay_Exo(jj) ==0.05
n=11;
else
n=8;
end
%%
tau1=Time_Delay_Brain(j);tau2=Time_Delay_Exo(jj);
W = linspace(0, n*pi, 1000);omega=W;
Kpe=@(omega)J.*cos(omega.*tau2).*omega.^2 - KDb.*beta2.*omega.*sin(omega.*tau1 - omega.*tau2) + L.*cos(omega.*tau2).*g.*m - KPb.*beta2.*cos(omega.*tau1 - omega.*tau2);
Kde=@(omega)(omega.^2.*J.*sin(omega.*tau2) - KDb.*beta2.*omega.*cos(omega.*tau1 - omega.*tau2) + m.*g.*L.*sin(omega.*tau2) + KPb.*beta2.*sin(omega.*tau1 - omega.*tau2))./omega;
%%
D_Curve_PD_KPe=Kpe(omega);
D_Curve_PD_KDe=Kde(omega);
%%
plot(D_Curve_PD_KPe,D_Curve_PD_KDe,'color',[2*Time_Delay_Exo(jj) 2*Time_Delay_Brain(j) Time_Delay_Exo(jj) *Time_Delay_Brain(j)],'LineWidth', 0.2)
axis([0,18000,0,2500]);
hold on
end
hold on
end
plot([0 18000],[0 0],'color',[1 0 0],'LineWidth', 3)
plot([0 0],[0 2500],'color',[1 0 0],'LineWidth', 3)

채택된 답변

Scott MacKenzie
Scott MacKenzie 2021년 8월 15일
편집: Scott MacKenzie 2021년 8월 15일
At the end of your code, add...
x = D_Curve_PD_KPe;
y = D_Curve_PD_KDe;
cropLogical = x > 0;
x = x(cropLogical);
y = y(cropLogical);
% define vertices of polyshape and plot
x = [0 0 x x(end) 0];
y = [0 y(1) y 0 0];
ps = polyshape(x,y);
plot(ps, 'facecolor', 'y');
% compute and output area
a1 = polyarea(x,y);
fprintf('area = %.2f\n', a1);
Output:
area = 16482962.65
  댓글 수: 3
shahin sharafi
shahin sharafi 2021년 8월 16일
Thank you so much. It does work! You saved me

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