Page 48 - Dynamic Loading and Design of Structures
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Figure 2.4 Free vibration due to (a) initial displacement and (b) initial velocity.
follows:
(2.4)
(2.5)
(2.6)
2.2.1.2 Forced vibrations
We first look at the case where an external force F(t) is accompanied by zero initial conditions.
Specifically, we have a constant load F(t)=F1 applied at time t=0 and subsequently maintained.
Equation (2.1) can be written as
(2.7)
and its solution is