Nonstationary random vibration of one-degree and multidegree of freedom systems (Q1075825)

In the author's article, (*) ibid. 1 (1980) for nonstationary random processes such as \[ \xi (t)=\int_{R_ 1}f(t,\omega)\exp [j\omega t]Z(d\omega),\quad j=\sqrt{-1}, \] we defined the spectral density \(S_{\xi}(t,\omega)=| f(t,\omega)|^ 2S(\omega)\), where Z(A) is an orthogonal random measure, S(\(\omega)\) is the spectral density of the stationary random process \(\xi_ 0(t)=\int_{R_ 1}\exp [j\omega t]Z(d\omega),\quad f(t,\omega)\) is a complex function with two real variables, it is called modulation function and it is satisfied by \(\int_{R_ 1}| f(t,\omega)|^ 2S(\omega)d\omega <\infty\). This paper is continued on (*). We obtain some results for the one-degree and multidegree of freedom systems.