Question

How can resonance frequency be reduced?

Answer 1

Explanation:

1. The resonance frequency is the natural frequency where a medium vibrates at the highest amplitude.
2. $\therefore$The natural frequency, $f_n=\frac{1}{2\pi }\sqrt{\frac{k}{m}}$
3. And the undamped natural frequency, $f\text{'}=\sqrt{\frac{k}{m}}$
4. Where $k$ is stiffness and $m$ is mass.
5. Since from the equation, the natural frequency is directly proportional to the stiffness and inversely proportional to the mass.

Therefore the following methods can be followed to change the natural frequency.

1. Increasing the mass reduces the natural frequency.
2. Increasing the stiffness increases the natural frequency.
3. Increasing the damping increases the response range but the peak value will be reduced.

Hence, this is how resonance frequency can be reduced.