This preview shows page 1. Sign up to view the full content.
Unformatted text preview: re(1);
plot(thist,yhist(:,1)); %plot
xlabel('time (s)'); %xlabel
ylabel('position (meters)'); %ylabel
title('Time History of Position') %title
legend('m'); %legend
eigs(A) %eigenvalues of the A matrix Matlab Plots: Graph of mb Graph of ma Graph of m Graph of m over a timespan of 10,000 seconds matrix A’s eigenvalues:  0.2408  55.7132i  0.2408 +55.7132i  4.7588  37.9570i  4.7588 +37.9570i  0.0004  9.9947i  0.0004 + 9.9947i As you can see the mass does eventually die down to zero oscillation. However it takes nearly 10,000 seconds. The reason for this is that if we look at the real parts of the eigenvalues of the A matrix we see that two of them are very small (.0004). One over this value is the time constant for the mass m. So 1/.0004=2500 seconds. It takes 4 10 of these time constants for the system to settle down to steady state....
View Full
Document
 Spring '14

Click to edit the document details