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. 2014 Feb 28;9(2):e77190. doi: 10.1371/journal.pone.0077190

Table 1. A homomorphic mapping due to Karnopp et al.

Concept Mechanical Electrical
Coordinate displacement, x charge, q
flow variable velocity, Inline graphic Inline graphic
energy energy Inline graphic energy Inline graphic
effort variable force, Inline graphic Inline graphic
energy increment Inline graphic Inline graphic
Inline graphic Inline graphic Inline graphic
inertial element mass, m inductance, L
generalised momentum momentum, Inline graphic magnetic flux, Inline graphic
Newton's second law Inline graphic Inline graphic
elastic element stiffness constant, k inverse capacitance, 1/C
Hooke's second law F  =  −k · x Inline graphic
dissipative element damping, c resistance, R
frictional force Inline graphic Inline graphic
Joule's law Inline graphic Inline graphic
energy of inertia Inline graphic Inline graphic
elastic energy Inline graphic Inline graphic

A homomorphic mapping: The names and purposes of the most important electromechanical dynamical concepts.