Page 473 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 473
460 Random Vibrations Chap. 13
where structural damping is assumed. The normal modes of the problem are
(p^(x) = yfl cos j “
AE
= « '^(7 ) ’ c = \/^ m
13-46 Determine the FT of x{t - t^) and show that it is equal to e where
X(f) = FT[jc(r)].
13-47 Prove that the FT of a convolution is the product of the separate FT.
F T [x (O M o ] = ^ ( / ) n / )
13-48 Using the derivative theorem, show that the FT of the derivative of a rectangular
pulse is a sine wave.
