Distribution of Maximum and Statistical Response System

Abstract

The concept of response spectra is extended and applications broadened by investigating the relevant aspects of the maximum structural response based on the random vibration theory. The asymptotic distributions of both stationary and nonstationary maximum structural responses are established and compared with the results of Monte Carlo simulation. Applications of the statistical distributions of maximum response in the development of design response spectra of building-equipment systems and in the dynamic analysis of tall buildings are demonstrated.