Dynamics of Machines - Part II - IFS.pdf

(a) y(t) [m]
(b) y(t) [m]
(c) y(t) [m]
0.01
0.005
0
−0.005
(a) Exact Solution − (b) Numerical Solution (delta T = 0.01 s) − (c) Comparison
−0.01
0 1 2 3 4 5
time [s]
6 7 8 9 10
0.01
0.005
0
−0.005
−0.01
0 1 2 3 4 5
time [s]
6 7 8 9 10
0.01
0.005
0
−0.005
−0.01
0 1 2 3 4 5
time [s]
6 7 8 9 10
Figure 9: Comparison between the analytical and numerical solutions when a time step of 0.01 [s]
is used – Good agreement between the numerical and analytical solutions in the total range of
time.
(a) y(t) [m]
(b) y(t) [m]
(c) y(t) [m]
1
0.5
0
−0.5
(a) Exact Solution − (b) Numerical Solution (delta T = 0.01 s) − (c) Comparison
−1
0 5 10 15
time [s]
20 25 30
1
0.5
0
−0.5
−1
0 5 10 15
time [s]
20 25 30
1
0.5
0
−0.5
−1
0 5 10 15
time [s]
20 25 30
Figure 10: Comparison between the analytical and numerical solutions when a time step of
0.01 [s] is used – Good agreement between the numerical and analytical solutions in the total
range of time. System behavior when excited by a harmonic force with a frequency near the
natural frequency.
18