ABSTRACT
This chapter focuses the use of generalized optimality criteria (GOC) as a means of optimizing both three-dimensional and two-dimensional structural systems subject to static and dynamic, essentially seismic, loads. The primary structure of the optimization algorithms for programs is based on mathematical optimization theory. The chapter provides application of the mathematical optimization theory in order to apply it to structures subjected to static and seismic loadings. The primary enhancements are in the development of the structural elements, the constraint gradients, and the application for different dynamic and pseudo-dynamic loads. ODRESB-3D used five different types of structural elements while the recent two-dimensional programs use traditional beam or beam-column elements within their structures. The presentation of ODRESB-3D analysis procedures and elements provides the necessary insight for the customization of the optimality-criteria approach to any analysis and elemental system. The chapter describes how to use the optimality-criteria optimization procedures for the design of structures subject to earthquake loads.
