Network Representations of the Inerter by Two-Port Matrix Framework

This is the authors' abstract. We don't add key points for this paper.

This paper proposes two-port network representations for the inerter. The inerter is a genuine mechanical two-port element analogous to the capacitor in electrical networks in the force-current analogy. Its prominent advantages and unique mechanical characteristics have garnered widespread attention. This paper proposes two-port network representations of the inerter. For example, considering the rack-pinion inerter, we derive its corresponding block diagrams and two-port networks. Finally, we apply linear fractional transformations to derive their equivalent inertances.