ABSTRACT
Several optimization strategies presented previously are focused on classical linear and nonlinear mathematical algorithms. Now the modern optimization algorithms of various optimality-criteria methods are introduced in Chapters 7 through 10, with extensive applications for 2-D and 3-D structures subjected to static and seismic forces. This chapter starts with the following items: (1) formulation of a structural model suitable for finite element analysis and energy distribution, with consideration of coupling ground motions and the P − Δ effect, (2) derivation of a primary recursion formula based on energy distribution, (3) derivation of a secondary recursion formula based on constraint gradients, (4) development of minimum cost design, (5) derivation and selection of seismic response spectra, (6) observation of the influence of interacting earthquake motions and building code provision on structural stiffness requirements, and (7) comparison of the optimum solutions based on minimum weight and minimum cost design.
