• Source: Transmissibility (structural dynamics)

Transmissibility, in the context of structural dynamics, can be defined as the ratio of the maximum force (




f

m
a
x




{\displaystyle f_{max}}

) on the floor as a result of the vibration of a machine to the maximum machine force (




P

0




{\displaystyle P_{0}}

):




T
R
=



f

m
a
x



P

0




=

R

d




1
+
(
2
ζ
β

)

2






{\displaystyle TR={\frac {f_{max}}{P_{0}}}=R_{d}{\sqrt {1+(2\zeta \beta )^{2}}}}


Where



ζ


{\displaystyle \zeta }

is equal to the damping ratio and



β


{\displaystyle \beta }

is equal to the frequency ratio.




R

d




{\displaystyle R_{d}}

is the ratio of the dynamic to static amplitude.




Further reading


Vibration Control and Measurement
Tech Tip: Spring & Dampers, Episode Four




References

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