I am working on a project in which a 2 mass, 2 spring system was given. From there, i found an equation for y1(t) and y2(t) using eigenvalues and eigenvectors.
I solved for 6 sets of equations for y2 and y1 using these six sets of initial conditions. I am now attempting to use matlab to complete the requirements pictured below. My current code is copied below. When I run these graphs, they come out very 'zig-zagged' instead of smooth sin and cosine curves. Some graphs even come up as just straight lines.
What am I doing incorrect?
This is my first time using matlab so it may be something silly that i am missing.
t=0:0.001:10;
period1 = 2 * pi / 3.39;
period2 = 2 * pi / 1.59;
shortestPeriod = min([period1, period2]);
finalTime = 3 * shortestPeriod;
numSamples = 12;
t = linspace(0, finalTime, numSamples);
y11=0.2763*cos(1.59*t) + 0.7237*cos(3.39*t);
y12=0.4469*cos(1.59*t)-0.4469*cos(3.39*t);
y21=0.4474*cos(1.59*t)-0.4474*cos(3.39*t);
y22=0.7237*cos(1.59*t)+0.2763*cos(3.39*t);
y31=0.7237*cos(1.59*t)+0.2763*cos(3.39*t);
y32=1.1706*cos(1.59*t)-0.1706*cos(3.39*t);
y41=1.2763*cos(1.59*t)-0.2763*cos(3.39*t);
y42=2.064*cos(1.59*t)+0.1706*cos(3.39*t);
y51=cos(1.59*t);
y52=1.6175*cos(1.59*t);
y61=cos(3.39*t);
y62=-0.6175*cos(3.39*t);
figure
plot(t, y11,'k-',t,y12,'k-.');
legend('y11','y12')
title('Initial Condition 1')
figure
plot(t,y21,'k-',t,y22,'k-.');
legend('y21','y22')
title('Initial Condition 2')
figure
plot(t,y31,'k-',t,y32,'k-.');
legend('y31','y32')
title('Initial Condition 3')
figure
plot(t,y41,'k-',t,y42,'k-.');
legend('y41','y42')
title('Initial Condition 4')
figure
plot(t,y51,'k-',t,y52,'k-.');
legend('y51','y52')
title('Initial Condition 5')
figure
plot(t,y61,'k-',t,y62,'k-.');
legend('y61','y62')
title('Initial Condition 6')
figure
plot(t, y12./y11);
title('y12/y11')
figure
plot(t, y22./y21);
title('y22/y21')
figure
plot(t, y32./y31);
title('y32/y31')
figure
plot(t, y42./y41);
title('y42/y41')
figure
plot(t, y52./y51);
title('y52/y51')
figure
plot(t, y62./y61);
title('y62/y61')
Best Answer