An sdf system with viscous dampingnbspzeta003 is excited, Ask an Expert

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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.

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