Ive done this for a free(unforced), damped system. Anyone confirm or dispute?
Where cc is critical damping coefficient, ωn is natural frequency, ωd is damped.
ωd=ωn √(1-(c/cc )^2 )
And
ωd=2π/τd
cc=2mωn
2π/τd =ωn √(1-(c/(2mωn ))^2 )
(2π/τd )^2=〖ωn〗^2 [1-(c/(2mω_n ))^2 ]
(2π/τd...
Hello.
I'm designing a simple prototype home kit for visualising the effects of vibration on various systems. In this case i have a simple spring mass system in compression that will have responses measured by varying initial displacements.
As it stands the system will be unforced, and...