1. A single-storey building was subjected to a series of forced vibration tests to estimate the fundamental period and corresponding damping ratio. The harmonic force on the building was provided via an actuator installed at the roof of the building. After the transient phase of the response was over, the peak roof displacement of the building was recorded during the steady-state response for each discrete value of excitation frequency as given in the attachment table1.xlsx. Using the given data, estimate the natural frequency and damping ratio of the building. Excitation Freq (Hz) Peak Displacement (cm) 2 275 2.01 3.2 2.02 4 2.03 4.9 2.04 6.7 2.05 9 2.06 17.5 2.07 15.5 2.08 12 2.09 9 2.1 8.25 2.11 7.25 2.12 6.25 2.13 5 2.14 4.5 2.15 4.25 2.2 2.75 1. A single-storey building was subjected to a series of forced vibration tests to estimate the fundamental period and corresponding damping ratio. The harmonic force on the building was provided via an actuator installed at the roof of the building. After the transient phase of the response was over, the peak roof displacement of the building was recorded during the steady-state response for each discrete value of excitation frequency as given in the attachment table1.xlsx. Using the given data, estimate the natural frequency and damping ratio of the building. Excitation Freq (Hz) Peak Displacement (cm) 2 275 2.01 3.2 2.02 4 2.03 4.9 2.04 6.7 2.05 9 2.06 17.5 2.07 15.5 2.08 12 2.09 9 2.1 8.25 2.11 7.25 2.12 6.25 2.13 5 2.14 4.5 2.15 4.25 2.2 2.75