Show that for prob.13.22, and that f(t) can be written as prob.13.22 For a single DOF system. the…

Show that for prob.13.22,  and that f(t) can be written as

prob.13.22

For a single DOF system. the substitution of Eq. (13.8.10) into Eq. (13.8.6) results in

which is Eq. (13.8.11). Derive a similar equation for the mean square value of the relative motion z of a single-DOF system excited by the base motion, in terms of the spectral density Silt) of the base acceleration. (See Scc. 3.5.) If the spectral density of the base acceleration is constant over a given frequency range, what must be the expression for z2? I

 

 

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