Page 125 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

112 Transient Vibration Chap. 4

From the differential equation, we have

X ==f ( x, t ) = \F{t) —500jc
Equation (4.7-8) gives X2 = ^(25)(0.02)^ = 0.005. X3 is then found from Eq. (4.7-7).

JC, = 0.005 - 0 + (0.02)^25 - 500 x 0.005) = 0.0190
The following values of JC4, etc. are now available from Eq. (4.7-7).
Figure 4.7-3 shows the computed values compared with the exact solution. The
latter was obtained by the superposition of the solutions for the step function and the
ramp function in the following manner. Figure 4.7-4 shows the superposition of

Figure 4.7-4.