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At some low frequencies, the 'point' inertance is similar, where the presence of the isolators has little or no effect.
A component that possesses inertance is called an inerter.
The inertance of a tube is given by:
Inertance is a measure of the pressure difference in a fluid required to cause a change in flow-rate with time.
Using the inertance method it is possible to quantify the contributions of individual transmission paths to the overall interior noise.
Inertance has the same units as mass (kilograms in the SI system) and the name indicates its relationship to inertia.
It also provides the point inertance of identical pile caps, below an un-isolated and isolated column, with results compared to theoretical predictions.
Figure 8.48 compares two versions of the theoretical point' inertance of the pile cap beneath isolated column A15, along with the measured result.
In respiratory physiology, inertance (of air) is measured in cmHO L s.
To some, it may appear counterintuitive that an increase in cross-sectional area of a tube reduces the inertance of the tube.
The base SI units of inertance are kg m or Pa m s and the usual symbol is I.
Using small-signal analysis, an inertance can be represented as a fluid reactance (c.f. electrical reactance)) through the relation:
This led Malcolm C. Smith of the University of Cambridge in 2002 to define a new energy storing element for mechanical networks called inertance.
The measured 'point' inertance compared well to the predictions using a theoretical model, and showed that the pile cap below the isolated column behaved as though it were unloaded.
The inertance of isolated columns was shown to be greater than an otherwise identical but un-isolated column, implying that an isolated column is easier to excite, and was borne out by comparisons of the response due to services plant.
When the valve is closed slowly compared to the transit time for a pressure wave to travel the length of the pipe, the elasticity can be neglected, and the phenomenon can be described in terms of inertance or rigid column theory: