Register to reply

Resonance frequency of a matrix system

by PlpPlp
Tags: frequency, matrix, resonance
Share this thread:
PlpPlp
#1
Feb13-13, 11:27 AM
P: 1
Hi all,

I have a 2d system of the form:

dm1/dt + A11 m1 + A12 m2 = 0
dm2/dt + A21 m2 + A22 m2 = 0

I saw that the resonance frequency of such a system is defined as:

fr = 1/(2*pi) [ (A11 + A22)/2 + sqrt( ((A11-A22)/2)^2 + A12*A21 )

if I'm not mistaking - I can't even remember where I saw that formula.

Could someone confirm that it's the exact formula and/or explain why this holds and how this was obtained and/or how does this extend to the 3d case?

Thanks a lot!
Phys.Org News Partner Mathematics news on Phys.org
Researcher figures out how sharks manage to act like math geniuses
Math journal puts Rauzy fractcal image on the cover
Heat distributions help researchers to understand curved space

Register to reply

Related Discussions
Resonance frequency and Natural frequency? Classical Physics 6
Resonance frequency in second-order system Mechanical Engineering 1
What does Resonance Frequency mean? Introductory Physics Homework 1
Angular Frequency and Resonance Frequency General Physics 1
What does resonance frequency mean? General Physics 13