Lecture 19
Homework
Problem 19.1
Problem 5.44 in Rao
Problem 19.2
a) Problem 5.54 in Rao.
b) Compare your answer to that obtained using Simulink. You will need to change your
gain blocks from “Element-wise[K.*u]” multiplication to “Matrix[K*u]”. For the value
of “Gain” just put in the matrices. For example the “1/m” term will become
inv([10 0;0 5]). Plot the difference between the Simulink and the exact for t = 0 to 20 s.
If they are different explain why. Add a little damping to your system, i.e., a damping
matrix [5 0;0 5]. How do they compare now? Note: When defining your input you need
set the amplitude to [50 0] or else it will apply the harmonic excitation to both masses.
.