Table 1. A homomorphic mapping due to Karnopp et al.
Concept | Mechanical | Electrical |
Coordinate | displacement, x | charge, q |
flow variable | velocity, | |
energy | energy | energy |
effort variable | force, | |
energy increment | ||
inertial element | mass, m | inductance, L |
generalised momentum | momentum, | magnetic flux, |
Newton's second law | ||
elastic element | stiffness constant, k | inverse capacitance, 1/C |
Hooke's second law | F = −k · x | |
dissipative element | damping, c | resistance, R |
frictional force | ||
Joule's law | ||
energy of inertia | ||
elastic energy |
A homomorphic mapping: The names and purposes of the most important electromechanical dynamical concepts.