2 solving for the second derivative of x we

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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

Ask a homework question - tutors are online