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Ocode-multispring-2D.m
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Ocode-multispring-2D.m
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k =1;
l = 1;
number = 8;
dt = 0.01;
m=1;
for i =1:8
Vx(1,i) = 0;
Vy(1,i) = 0;
end
Vx(1,1)=0.1;
Vy(1,1)=0.1;
X(1,1) = 0;
Y(1,1) = 1;
X(1,2) = 0.5;
Y(1,2) = 0.5;
X(1,3) = 1;
Y(1,3) = 0;
X(1,4) = 0.5;
Y(1,4) = -0.5;
X(1,5) = 0;
Y(1,5) = -1;
X(1,6) = -0.5;
Y(1,6) = -0.5;
X(1,7) = -1;
Y(1,7) = 0;
X(1,8) = -0.5;
Y(1,8) = 0.5;
for t = 1:500
for n=1
z1 = (sqrt( (Y(t, n+1) - Y(t,n))^2 + (X(t, n+1) - X(t,n))^2));
z2 = (sqrt( (Y(t, number) - Y(t,n))^2 + (X(t, number) - X(t,n))^2));
a = atan((Y(t,n)-Y(t,n+1))/(X(t,n)-X(t,n+1)));
b = atan((Y(t,n)-Y(t,number))/(X(t,n)-X(t,number)));
if(a<0)
a = pi + a;
endif
% if(b<0)
% b = pi+b;
% endif
Fx(t,n) = k*(-(1-l/z2)*(X(t,n)-X(t,number)) + (1-l/z1)*(X(t,n+1)-X(t,n)));
Fy(t,n) = k*(-(1-l/z2)*(Y(t,n)-Y(t,number)) + (1-l/z1)*(Y(t,n+1)-Y(t,n)));
dvx(n) = Fx(t,n)*dt/m;
dvy(n) = Fy(t,n)*dt/m;
dx(n) = Vx(t,n)*dt;
dy(n) = Vy(t,n)*dt;
Vx(t+1,n) = Vx(t,n)+dvx(n);
Vy(t+1,n) = Vy(t,n)+dvy(n);
X(t+1,n) = X(t,n) + dx(n);
Y(t+1,n) = Y(t,n) + dy(n);
plot(X(t+1,n),Y(t+1,n));
hold on
end
for n = 2:(number-1)
z1 = (sqrt( (Y(t, n+1) - Y(t,n))^2 + (X(t, n+1) - X(t,n))^2));
z2 = (sqrt( (Y(t, n-1) - Y(t,n))^2 + (X(t, n-1) - X(t,n))^2));
a = atan((Y(t,n)-Y(t,n+1))/(X(t,n)-X(t,n+1)));
b = atan((Y(t,n)-Y(t,n-1))/(X(t,n)-X(t,n-1)));
if(a<0)
a = pi + a;
endif
% if(b<0)
% b = pi+b;
% endif
%
Fx(t,n) = k*(-(1-l/z2)*(X(t,n)-X(t,n-1)) + (1-l/z1)*(X(t,n+1)-X(t,n)));
Fy(t,n) = k*(-(1-l/z2)*(Y(t,n)-Y(t,n-1)) + (1-l/z1)*(Y(t,n+1)-Y(t,n)));
dvx(n) = Fx(t,n)*dt/m;
dvy(n) = Fy(t,n)*dt/m;
dx(n) = Vx(t,n)*dt;
dy(n) = Vy(t,n)*dt;
Vx(t+1,n) = Vx(t,n)+dvx(n);
Vy(t+1,n) = Vy(t,n)+dvy(n);
X(t+1,n) = X(t,n) + dx(n);
Y(t+1,n) = Y(t,n) + dy(n);
plot(X(t+1,n),Y(t+1,n));
hold on
end
for n = number
z1 = (sqrt( (Y(t, 1) - Y(t,n))^2 + (X(t, 1) - X(t,n))^2));
z2 = (sqrt( (Y(t, n-1) - Y(t,n))^2 + (X(t, n-1) - X(t,n))^2));
a = atan((Y(t,n)-Y(t,1))/(X(t,n)-X(t,1)));
b = atan((Y(t,n)-Y(t,n-1))/(X(t,n)-X(t,n-1)));
if(a<0)
a = pi + a;
endif
% if(b<0)
% b = pi+b;
% endif
Fx(t,n) = k*(-(1-l/z2)*(X(t,n)-X(t,n-1)) + (1-l/z1)*(X(t,1)-X(t,n)));
Fy(t,n) = k*(-(1-l/z2)*(Y(t,n)-Y(t,n-1)) + (1-l/z1)*(Y(t,1)-Y(t,n)));
dvx(n) = Fx(t,n)*dt/m;
dvy(n) = Fy(t,n)*dt/m;
dx(n) = Vx(t,n)*dt;
dy(n) = Vy(t,n)*dt;
Vx(t+1,n) = Vx(t,n)+dvx(n);
Vy(t+1,n) = Vy(t,n)+dvy(n);
X(t+1,n) = X(t,n) + dx(n);
Y(t+1,n) = Y(t,n) + dy(n);
plot(X(t+1,n),Y(t+1,n));
hold on
end
pause(0.001);
hold off
end