Seismic Analysis of Structures: Improvements Due to Probabilistic Concepts - Dynamic Behavior of Concrete and Seismic Engineering - page 315

expresses a frequency dispersion effect but which does not correspond to a damping
effect.
- Figure 8.19 illustrates the stochastic linearization method. Note that it is
incapable of representing the frequency element.
Figure 8.18. Shock oscillator: evolution of the shape of the PSD
of the answer as a function of reduced play
8.8.4.2.1. Conclusion
The principle of conventional stochastic linearization expressed for systems with
several degrees of freedom can seem appealing owing to its general feature.
Nevertheless, as we have just illustrated, its application is often problematic. Things
go off smoothly when the effect of non-linearities is weak, whereas very non-linear
behaviors are poorly modeled, especially those that correspond to energy dispersion
phenomena within one or several frequency bands. We are then led to particularize
the method to the non-linearity type studied (which, from our point of view, is
inevitable whatever the method used) and to use such restrictive hypotheses that,
when compared with such appropriate simplified methods as the inelastic spectrum,
their utility is often quite questionable.