Question: A single-story building frame is modeled by a rigid floor of mass (m) and columns of stiffness (k), as shown in Fig. 3.58. It is

A single-story building frame is modeled by a rigid floor of mass $m$ and columns of stiffness $k$, as shown in Fig. 3.58. It is proposed that a damper shown in the figure is attached to absorb vibrations due to a horizontal ground motion $y(t)=Y \cos \omega t$. Derive an expression for the damping constant of the damper that absorbs maximum power.

-x(t) 22 m K2 y(t) Y cos wot FIGURE 3.58 Damped single

-x(t) 22 m K2 y(t) Y cos wot FIGURE 3.58 Damped single story building subjected to ground acceleration.

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