Based-on mathematical considerations the impulse series method expresses the seismic response by analytical formulas, instead of integrals. It is mathematically proved that the input and output of a linear system can be reduced to specific random pulse trains. Six earthquake records are analysed, new parameters being calculated. Formulas for the mean and variance of the linear response of SDOF and MDOF systems are obtained. The capacity to assess qualitatively the deterministic and random response is an important feature of the impulse series method, a procedure recently developed in Romania.
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