Page 157 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 157
144 Systems with Two or More Degrees of Freedom Chap. 5
^ X 1
| — — Q —V M — VVVV-|
Figure 5.4-1. Forced vibration of a
sin cot 2-DOF system.
Example 5.4-1
Apply Eqs. (5.4-6) to the system shown in Fig. 5.4-1 when is exeited by the force
F, sin (x)t. Plot its frequency response curve.
Solution: The equation of motion for the system is
m 0 0 4 -r 1 2k - k sm (x)t
0 m - k 2k
11 ^ k 22 = 2k and ^12 ^ ^21
(2k -
X, -=
kF,
Xj ■=
-
- io^)(ca2 - 0)^)
Figure 5.4-2. Forced response of a 2-DOF system.
