Earthquake response of linear continuous structures by the method of evolutionary spectra

Abstract The response of a class of elastic linear continuous structures subjected to earthquake excitation is studied. The accelerogram of the ground is represented by a nonstationary shaped Gaussian white noise process. The general expressions for the evolutionary power spectra and the mean-square responses of the deflection field are developed and their simplified forms for lightly damped structures are discussed. The reliability of design is considered and the probability of barrier crossing is described. Examples of a high-rise building modelled as a cantilever beam and a nonuniform shear beam structure are treated in details. The time and space variations of the response power spectra and the mean-square responses are evaluated and discussed. The maximum responses of these continuous structures to accelerogram of the North-South component of El Centro 1940 earthquake are also analysed. The peak deflections are estimated and the results are compared with those obtained from the statistical analysis.

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