Question

A vibratory system in a vehicle is to be designed with the following parameters: k-295 N/m, C-2N-s/m, m-13 kg. Calculate the natural frequency of damped vibration

Answer 1

`w_(damped)= 4.76` s^-1

Step-by-step explanation:

The mathematical relationship is

`w_(damped)=w_(undamped) *\sqrt{1-((c)/(2√(km)))^(2)}`

where:

c is the damper constant

k is the spring constant

m is the mass

ω_undamped is the natural frequency

ω_damped is the damped frequency

`w_(undamped) =\sqrt{(k)/(m)}=4.79` s^-1

`w_(damped)= 4.79 *\sqrt{1-((2)/(2√(295*13)))^(2)}`

`w_(damped)= 4.76` s^-1