Assignment #$7$

MEC$511-$ Structural Dynamics

Answer the following exercies:

$11\mathrm{.}1$ The properties of a three$-$story shear building are given in Fig. P$11\mathrm{.}1.$ These include the floor masses, story stiffnesses, natural vibration frequencies, and modes. Derive a Rayleigh damping matrix such that the damping ratio is $5\%$ for the first and third modes. Compute the damping ratio for the second mode.

is $$