Information Theory for Generation of Accelerograms Associated with Shock Response Spectra

In structural dynamics, the specification of the transient loads applied to equipment (or to secondary subsystems) consists of a given shock response spectrum (SRS). The transient dynamical analysis of such equipment is performed using a computational nonlinear dynamical model. A generator of accelerograms satisfying the given SRS is then required. Information theory is used to solve this challenging inverse problem that has been looked at by others but not in the way presented. The maximum entropy principle is used to construct the probability distribution of the nonstationary stochastic process for which the available information is constituted of the mean SRS and additional information on the variance. A random generator of independent realizations of the nonstationary stochastic process is developed using a new algorithm based on the stochastic analysis. The method presented is validated with an example.

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