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

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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?

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