Investigation of the Power Spectral Density of Duffing's Equation By Equivalent Linearization Method
We consider the non-linear random vibration model demonstrated by the Duffing's differential equation. The stationary random process is f( t) which is satisfied < f(t) > = 0
with the spectral density function Sf ( w ) . To find the solution Sx ( w ) of (*) we use the equivalent linearization method .