Abstract
The time-dependent power spectral density of any linear response to an input modulated stochastic process is calculated by a single numerical integration. Thus, computer costs solely depend on the efficient computation of the frequency response function. The spectral method can be extended to elasto-plastic structures with certain approximations on the nonlinear yielding process which allow the determination of the mean yielding-deformation increment. Time- and frequency dependent envelope functions of the power density of modal driving forces of the associated linear system are computed in a time-stepping procedure. Results compare favourably well with simulations in the stationary limit.
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