Chapter 10, Problem 13P

Consider steady-state vibration of a friction-free spring-mass-damper system subjected to harmonic applied force. The normalized amplitude of the mass is given by:

$\frac{Xk}{F_0}=\frac{1}{\sqrt{{(1-r^2)}^2+{(2\zeta r)}^2}}$

where r =?/ ?_nis the frequency ratio, and ? is the damping ratio. Make a 3-D plot (shown) of the normalized amplitude (z axis) as a function of the frequency ratio for $0\le r\le 2$ , and a function of the damping ratio for $0.05\le \zeta \le 0.5$ .