A Spectral Resolving Method for Analyzing Linear Random Vibrations with Variable Parameters

This paper is a development of Ref.[1].Consider the following random equation:(t)+2?(t)+₀²Z(t)=(a₀+a_lZ(t)).I(t)+c,in which excitation I⁰(t)and response Z(t)are both random processes, and it is proposed that they are mutually independent.Suppose that I(t)=a(t)I⁰(t),a(t)is a known function of time and I^O(t)is a stationary random process.In this paper, the spectral resolving form of the random equation stated above, the numenca solving method and the solutions in some special cases are considered.