An SDF system with viscous damping ζ=0.03 is excited by white-noise excitation F(t) having a constant power spectral density of
5×106N2/Hz . The system has a natural frequency of Wn = 30 rad/s and a mass of 1500 kg.
Determine σ Assuming Rayleigh distribution far peaks, determine the probability that the maximum peak response will exceed 0.037 m.