I am stating it in the form of how they been calculated:
if you make velocity (v) = voltage (V or e); force (f) = current (i)
then, you can get
mass(M) equation: f = M dv/dt (you can treat dv/dt as acceleration since it is velocity over time)
capacitance(C) equation: i = C dV/dt (same thing)
damping (B) equation: f= B v
conductance(G) equation: i = G V
you can see, from a mathematical view, there is no difference between mass and capacitance, and damping to conductance.
So, if you draw the mechanical diagram of a very complex mechanical system, and transform them into a electrical circuit, you can actually solve them very easily using KVL and KCL~~~~~
Believe me, the first time I saw it, I have been below away like this is some sort of magic~~~~
To me this is a stretch. You can never convince me that Current can be equated to Force in order to make the math look good. To me this is a fundamental flaw as Current is related to quantity not force. There are other assumptions here that are to me a bit flaky. I'm not in favor of twisting one thing to make another possible. I never had trouble understanding other basic parts of Physics such that I needed to have other analogies to help me along, especially with such odd assumptions. Hey if this was part of a course and my grade depended on it, I might give in to the dark side of the force.