EQUIVALENT LINEARIZATION USING TRANSFER FUNCTION APPLIED TO PIPING SYSTEMS IN SEISMIC ENGINEERING

Abstract eng:
In post-Fukushima context, the question of the capacity of NNP to withstand design seismic hazard is now a prior concern. Many NNPs must be reevaluated within a higher level of seismic load by taking into account the nonlinearity of the structure, which is not an easy task because of the need of computational capacity due to many iterations required at each step in order to satisfy the equilibrium. That is the reason why many authors investigated about establishing the linearization concept for many years. The general idea is to identify a linear system which replaces the nonlinear one by using certain equivalence criterions. In this paper, we deal with a systematic and argumentative analysis in order to establish a concept of equivalent linearization by considering the equivalence criterion through the transfer function from the time domain to the frequency domain. The idea is to identify the frequency and damping of the equivalent linear oscillator whose theoretical transfer function of response in acceleration fits the best the experimental one of the nonlinear system. This concept will be applied to an elastoplastic oscillator undergoing the filtered white noise signal Clough-Penzien. As conclusion, the result of the equivalent linearization by using transfer function corresponds to the experimental results of piping systems such as EPRI 1994 or BARC 2015. Furthermore, we propose a new approach to re-establish the transferred motion through a structure with nonlinearities using these results in seismic engineering.

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