gan excitation of 2.5 hz, you want to add damping to the cushioning material so that the amplitude of the damped cushion will be 75% of the damped amplitude. calculate the damping factor that the modified cushion would need.

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26-10-2022
Physics

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gan excitation of 2.5 hz, you want to add damping to the cushioning material so that the amplitude of the damped cushion will be 75% of the damped amplitude. calculate the damping factor that the modified cushion would need.

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Qwmarket Qwmarket · Answer 1 · 2022-10-28T11:06:34-04:00

In order to damp the 2.5 Hz excitation, you need to add a damping factor of at least 0.75.

The damping factor of the cushion is calculated by dividing its natural frequency by its damping ratio. The natural frequency of a material is defined as the lowest frequency at which it will vibrate in response to an applied force. Because you want your cushion to move 75% as much as it would without a damper, you need to take into account that the damping ratio will change with the amplitude of the vibration.

For example, if you have 2.5hz of excitation, and you want to add damping to that frequency so that it will be 75% as large as its damped counterpart, you would need a damping factor of 0.75.

To calculate this, you'd first find out what percent change in amplitude each value represents:

2.5 hz - 2.5 hz = 1.5 hz (i.e, 75%)

1.5 hz / 1.5 hz = 0.75 (damping factor).

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