Frequency

Natural frequencies of a transfer function

Natural frequencies of a transfer function
  1. What is natural frequency of a transfer function?
  2. What is the formula for natural frequency?
  3. How to find natural frequency and quality factor of a transfer function?
  4. What is meant by natural frequency?

What is natural frequency of a transfer function?

Natural frequency, also known as eigenfrequency, is the frequency at which a system tends to oscillate in the absence of any driving force. The motion pattern of a system oscillating at its natural frequency is called the normal mode (if all parts of the system move sinusoidally with that same frequency).

What is the formula for natural frequency?

Regarding the calculation formula of natural frequency (f), the general formula f=1/(2π)×√(k/m) calculates the frequency f of the vibration system consisting of an object with mass m and a spring with spring constant k.

How to find natural frequency and quality factor of a transfer function?

The natural frequency is a real number, and Matlab computes it correctly by taking the magnitude of the (complex-valued) pole. So the natural frequency ωn is given by the magnitude of the pole s∞. Note that the natural frequency ωn is not the actual oscillation frequency unless there is no damping (i.e., ζ=0).

What is meant by natural frequency?

A natural frequency is defined as that frequency at which a body will vibrate if excited by an external force.

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