| size of A | norm(error) |
|---|---|
| 3 | 12.0406 |
| 4 | NaN |
| 5 | inf |
| 6 | 162.541 |
| 7 | 36.517 |
| 8 | NaN |
| 9 | 30.745 |
| 10 | 716.512 |
Problem 2
k1 = 10; k2 = 20; k3 = 20; k4 = 10;
%N/m
m1 = 1; m2 = 2; m3 = 4;
%kg
a = [(k1+k2)/m1 -k2/m1 0; -k2/m2 (k2+k3)/m2 -k3/m2; 0 -k3/m3 (k3+k4)/m3]
eigen = eig(a)
eigenvalues = 40.5220 14.4090 2.5690
Natural Frequency = 6.3657 3.7959 1.6028
Part 2
[(2-0.36i) -1 0 0;
-1 (2-0.36i) -1 0;
0 -1 (2-0.36i) -1;
0 0 -1 (2-0.36i)] * [y1;y2;y3;y4] =0
| # of segments | largest | smallest | # of eigenvalues |
|---|---|---|---|
| 5 | 3.17 | 1.03 | 4 |
| 6 | 6.51 | 1.52 | 5 |
| 10 | 12.8 | 3.36 | 9 |