What is a high Q factor?
Higher Q indicates a lower rate of energy loss and the oscillations die out more slowly. A pendulum suspended from a high-quality bearing, oscillating in air, has a high Q, while a pendulum immersed in oil has a low one. Resonators with high quality factors have low damping, so that they ring or vibrate longer.
What is q in vibration?
The Q-factor of resonance is defined as the ratio of the center frequency of the resonance and the half-power bandwidth of the resonance. The value tells us how sharp, or steep, a resonance is.
What is q in a filter?
The “Q” or Quality Factor This Q Factor is a measure of how “Selective” or “Un-selective” the band pass filter is towards a given spread of frequencies. The lower the value of the Q factor the wider is the bandwidth of the filter and consequently the higher the Q factor the narrower and more “selective” is the filter.
How is the resonant peak related to the peak overshoot?
Resonant peak in frequency response corresponds to the peak overshoot in the time domain transient response for certain values of damping ratio δ. So, the resonant peak and peak overshoot are correlated to each other.
Which is the first derivate of the frequency response?
It is the frequency at which the magnitude of the frequency response has peak value for the first time. It is denoted by ω r. At ω = ω r, the first derivate of the magnitude of T ( j ω) is zero.
What are the specifications of the frequency domain?
Frequency Domain Specifications The frequency domain specifications are resonant peak, resonant frequency and bandwidth. Consider the transfer function of the second order closed loop control system as, T(s) = C(s) R(s) = ω2n s2 + 2δωns + ω2n
How to calculate the magnitude of the frequency response?
Consider the transfer function of the second order closed loop control system as, Substitute, s = j ω in the above equation. Let, ω ω n = u Substitute this value in the above equation. It is the frequency at which the magnitude of the frequency response has peak value for the first time.