Question: A given spring-mass system can be modeled by an underdamped, second order, FRF. Determine the minimum value of the damping factor (3) that is needed

A given spring-mass system can be modeled by an underdamped, second order, FRF. Determine the minimum value of the damping factor (3) that is needed to ensure that the maximum frequency response is no greater than 5% higher than that at low frequency. The FRF for a spring-mass system is illustrated in Figure 1. amplitude B log (freq) Figure 1 - Spring-Mass System (2nd Order) FRF You need to determine the smallest value of 3, such that the amplitude value of the FRF at point A (FRFA) is no greater than 5% above the value at point B (FRFB>DC value). That is, it is required that, FRFA 1.05 FRFB NOTE- you need to observe that when the spring-mass system has damping, the maximum amplitude value of the FRF (FRFA) does NOT occur at the natural frequency, wn. The maximum amplitude value occurs at what is known as the damped natural frequency, wa = wn1-23

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