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A sensor mounted to a cantilever beam indicates beam motion with time. When the beam is deflected and released (step test), the sensor signal indicates that the beam oscillates as an underdamped second-order system with a ringing frequency of 10 rad/s. The maximum displacement amplitudes are measured at three different times corresponding to the 1st, 16th, and 32nd cycles and found to be 17, 9, and 5 mV, respectively. Estimate the damping ratio and natural frequency of the beam based on this measured signal, K

User Bathineni
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Answer:

The damping ratio= 2.93 × 10^-3 and the natural frequency is 10rad/s

Step-by-step explanation:

Check attachment

A sensor mounted to a cantilever beam indicates beam motion with time. When the beam-example-1
User IDDQD
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