How to find area enclosed between two curves?
2 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
Prakash Chettri
am 21 Feb. 2022
Beantwortet: Torsten
am 22 Feb. 2022
Lx = 150;
Ly = 150;
T0 =0;
T1 = pi/4;
T=3.175;
N=8;
W=N*T;
X0=Lx/2;
Y0=0;
W_nominal=W/2;
for a=1:2
r=rem(a,2);
if r==0
xp=0; xn=0; i=1;
while (xp>=0 && xp<=Lx/2)
XPaxisl(i)=xp+(i-1)*Lx/1200; xp=XPaxisl(i);
XNaxisl(i)=xn+(i-1)*(-Lx)/1200; xn=XNaxisl(i);
Th(i)=T0+2*((T1-T0)*(XPaxisl(i)))/Lx;
TH(i)= T0+2*((T0-T1)*(XNaxisl(i)))/Lx;
Wp(i)=W_nominal/cos(Th(i));
WP(i)=W_nominal/cos(TH(i));
ypl(i)=Wp(i)+(Lx/(2*(T0-T1))*((-log(cos(T0)))+log(cos(T0+((2*(T1-T0)*XPaxisl(i))/Lx)))));
ynl(i)=WP(i)+(Lx/(2*(T1-T0))*((-log(cos(T0)))+log(cos(T0+((2*(T0-T1)*XNaxisl(i))/Lx)))));
i=i+1;
end
plot(XPaxisl,ypl, '-g')
hold on
plot(XNaxisl,ynl, '-g')
hold on
end
%% shifting
r=rem(a,2);
if r==0
xp=0; xn=0; i=1; y=0; yn=0;
while (xp>=0 && xp<=Lx/2) && (y<=Ly/2)
XPaxiss1(i)=xp+(i-1)*Lx/1200; xp=XPaxiss1(i);
yps1(i) =(a*W_nominal)+Lx/(2*(T0-T1))*((-log(cos(T0)))+log(cos(T0+((2*(T1-T0)*XPaxiss1(i))/Lx))));
i=i+1;
end
else
xp=0; xn=0; i=1; y=0; yn=0;
while (xp>=0 && xp<=Lx/2) && (y<=Ly/2)
XPaxiss1(i)=xp+(i-1)*Lx/1200; xp=XPaxiss1(i);
XNaxiss1(i)=xn+(i-1)*(-Lx)/1200; xn=XNaxiss1(i);
yps1(i) =(a*W_nominal)+Lx/(2*(T0-T1))*((-log(cos(T0)))+log(cos(T0+((2*(T1-T0)*XPaxiss1(i))/Lx))));
yns1(i)= (a*W_nominal)+Lx/(2*(T1-T0))*((-log(cos(T0)))+log(cos(T0+((2*(T0-T1)*XNaxiss1(i))/Lx))));
i=i+1;
end
plot(XPaxiss1,yps1, '-r')
hold on
plot(XNaxiss1,yns1, '-r')
xlim([-Lx/2 Lx/2])
ylim([-Ly/2 Ly/2])
end
end
I want to claculate the area between red and green curves using trapz but im not getting the exact result and it is showing error while calculating.can anyone tell how can i calculate area? I attached code for reference.
0 Kommentare
Akzeptierte Antwort
Torsten
am 22 Feb. 2022
Lx = 150;
Ly = 150;
T0 =0;
T1 = pi/4;
T=3.175;
N=8;
W=N*T;
X0=Lx/2;
Y0=0;
W_nominal=W/2;
for a=1:2
r=rem(a,2);
if r==0
xp=0; xn=0; i=1;
while (xp>=0 && xp<=Lx/2)
XPaxisl(i)=xp+(i-1)*Lx/1200; xp=XPaxisl(i);
XNaxisl(i)=xn+(i-1)*(-Lx)/1200; xn=XNaxisl(i);
Th(i)=T0+2*((T1-T0)*(XPaxisl(i)))/Lx;
TH(i)= T0+2*((T0-T1)*(XNaxisl(i)))/Lx;
Wp(i)=W_nominal/cos(Th(i));
WP(i)=W_nominal/cos(TH(i));
ypl(i)=Wp(i)+(Lx/(2*(T0-T1))*((-log(cos(T0)))+log(cos(T0+((2*(T1-T0)*XPaxisl(i))/Lx)))));
ynl(i)=WP(i)+(Lx/(2*(T1-T0))*((-log(cos(T0)))+log(cos(T0+((2*(T0-T1)*XNaxisl(i))/Lx)))));
i=i+1;
end
%figure(1)
plot(XPaxisl,ypl, '-g')
hold on
plot(XNaxisl,ynl, '-g')
hold on
x1 = XPaxisl;
y1 = ypl;
x2 = XNaxisl;
y2 = ynl;
end
%% shifting
r=rem(a,2);
if r==0
xp=0; xn=0; i=1; y=0; yn=0;
while (xp>=0 && xp<=Lx/2) && (y<=Ly/2)
XPaxiss1(i)=xp+(i-1)*Lx/1200; xp=XPaxiss1(i);
yps1(i) =(a*W_nominal)+Lx/(2*(T0-T1))*((-log(cos(T0)))+log(cos(T0+((2*(T1-T0)*XPaxiss1(i))/Lx))));
i=i+1;
end
else
xp=0; xn=0; i=1; y=0; yn=0;
while (xp>=0 && xp<=Lx/2) && (y<=Ly/2)
XPaxiss1(i)=xp+(i-1)*Lx/1200; xp=XPaxiss1(i);
XNaxiss1(i)=xn+(i-1)*(-Lx)/1200; xn=XNaxiss1(i);
yps1(i) =(a*W_nominal)+Lx/(2*(T0-T1))*((-log(cos(T0)))+log(cos(T0+((2*(T1-T0)*XPaxiss1(i))/Lx))));
yns1(i)= (a*W_nominal)+Lx/(2*(T1-T0))*((-log(cos(T0)))+log(cos(T0+((2*(T0-T1)*XNaxiss1(i))/Lx))));
i=i+1;
end
plot(XPaxiss1,yps1, '-r')
hold on
plot(XNaxiss1,yns1, '-r')
xlim([-Lx/2 Lx/2])
ylim([-Ly/2 Ly/2])
x3 = XPaxiss1;
y3 = yps1;
x4 = XNaxiss1;
y4 = yns1;
end
end
x2=x2(end:-1:1);
y2=y2(end:-1:1);
x4=x4(end:-1:1);
y4=y4(end:-1:1);
X1 = horzcat(x2(1:end-1),x1)
Y1 = horzcat(y2(1:end-1),y1);
X2 = horzcat(x4(1:end-1),x3)
Y2 = horzcat(y4(1:end-1),y3);
%figure(2)
%plot(X1,Y1)
%hold on
%plot(X2,Y2)
%xlim([-Lx/2 Lx/2])
%ylim([-Ly/2 Ly/2])
Area = trapz(X1,abs(Y1-Y2))
0 Kommentare
Weitere Antworten (1)
Abolfazl Chaman Motlagh
am 21 Feb. 2022
i don't think the code you include in your question content related to what you want.
you have to vector, which are values of your curves at your grid points x.
here's an example for doing this task:
x = 0:0.1:20;
y1 = exp(x/2);
y2 = (x).^3;
dY = abs(y1-y2);
plot(x,y1,'Color','r','LineWidth',2);
hold on; grid on;
plot(x,y2,'Color','g','LineWidth',2);
plot(x,dY,'Color','b','LineWidth',2);
legend('y1 = exp(x/2)','y2= x^3','|y1-y2|','Location','best');
Diff = trapz(x,dY);
disp(['Area between 2 Curves :' num2str(Diff)])
Siehe auch
Kategorien
Mehr zu Yield Curves finden Sie in Help Center und File Exchange
Produkte
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!