Safety-Based Optimum Design of Nondeterministic Structures Subjected to Various Types of Seismic Loads

摘要

Reliability-based optimization techniques are developed for steel structures subjected to various seismic loadings of static equivalent load, dynamic response spectra, and stationary process with seismic spectra. The static equivalent load is based on Uniform Building Code; the dynamic response spectra are based on Newmark's nondeterministic response approach; and the seismic spectra of stationary process are related to white noise, filter white noise, or modified white noise. The optimization techniques are derived from the optimality criterion method and the penalty function method and the reliability is based on two mathematical models of normal and lognormal distribution with two different variance approaches. The objective function can be either minimum weight or minimum total cost consisting of construction and expected failure costs at various safety levels.