# Equivalence between Response function matrix in mechanics and Admittance matrix in electronics.

+ 0 like - 0 dislike
170 views

We know that for a coupled oscillator system, We can convert the coupled equations of motion to a form as given below

X=H[$\omega$]F

where H is the response matrix. X are the displacement (a column vector) and F are the driving frequency amplitudes (also a column vector).

In Electronics for  sinusoidal voltage sources, we can write

I = Y V

where Y is called the admittance matrix and its elements as Y parameters. which are complex.

The electro-mechanical analogies are very well know, hence if we consider that the Voltages are equivalent to driving forces and currents to displacements, then the Admittance matrix is equivalent to the response matrix in mechanics.

RLC circuits are equated to coupled driven oscillators in many books but the equivalence mentioned above is never explicitly written in standard textbooks.

Am I correct in my analysis or I am missing something?

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysicsO$\varnothing$erflowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.